Pushing the Energy and Cosmic Frontiers with High-Energy ... · 9/20/2018 · Fundamental physics...
Transcript of Pushing the Energy and Cosmic Frontiers with High-Energy ... · 9/20/2018 · Fundamental physics...
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Pushing the Energy and Cosmic Frontierswith High-Energy Astrophysical Neutrinos
Mauricio BustamanteNiels Bohr Institute, University of Copenhagen
Nuclear and Particle Physics SeminarUppsala University, September 20, 2018
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Banco Central de Reserva del Perú / NASA / ESA / CERN / Symmetry Magazine
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Banco Central de Reserva del Perú / NASA / ESA / CERN / Symmetry Magazine
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Banco Central de Reserva del Perú / NASA / ESA / CERN / Symmetry Magazine
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Banco Central de Reserva del Perú / NASA / ESA / CERN / Symmetry Magazine
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Abundant and detected
Rare but detected
Very rare,not detected yet
Abundant, but hardly interacting
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Mauricio Bustamante (Niels Bohr Institute) 4
Why study fundamental physics with HE astro. ν‘s?
1 They have the highest energies (~PeV) ↦ Probe physics at new energy scales
2 They have the longest baselines (~Gpc) ↦ Tiny effects can accumulate and become observable
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Mauricio Bustamante (Niels Bohr Institute) 4
Why study fundamental physics with HE astro. ν‘s?
1 They have the highest energies (~PeV) ↦ Probe physics at new energy scales
2 They have the longest baselines (~Gpc) ↦ Tiny effects can accumulate and become observable
3 It comes for free
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The multi-messenger connection
Mauricio Bustamante (Niels Bohr Institute) 5
p + γtarget
→ Δ+ → n + π+, Br = 1/3p + π0, Br = 2/3
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The multi-messenger connection
Mauricio Bustamante (Niels Bohr Institute) 5
p + γtarget
→ Δ+ → n + π+, Br = 1/3p + π0, Br = 2/3
Energy
Prot
on d
ensi
ty
~E-2
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The multi-messenger connection
Mauricio Bustamante (Niels Bohr Institute) 5
p + γtarget
→ Δ+ → n + π+, Br = 1/3p + π0, Br = 2/3
Energy
Phot
on d
ensi
ty
Energy
Prot
on d
ensi
ty
~E-2
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The multi-messenger connection
Mauricio Bustamante (Niels Bohr Institute) 5
p + γtarget
→ Δ+ → n + π+, Br = 1/3p + π0, Br = 2/3
π0 → γ + γπ+ → μ+ + νμ → νμ + e+ + νe + νμ
n (escapes) → p + e- + νe Energy
Phot
on d
ensi
ty
Energy
Prot
on d
ensi
ty
~E-2
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The multi-messenger connection
Mauricio Bustamante (Niels Bohr Institute) 5
p + γtarget
→ Δ+ → n + π+, Br = 1/3p + π0, Br = 2/3
π0 → γ + γπ+ → μ+ + νμ → νμ + e+ + νe + νμ
n (escapes) → p + e- + νe
Neutrino energy = Proton energy / 20Gamma-ray energy = Proton energy / 20
ν
γCR
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The multi-messenger connection
Mauricio Bustamante (Niels Bohr Institute) 5
p + γtarget
→ Δ+ → n + π+, Br = 1/3p + π0, Br = 2/3
π0 → γ + γπ+ → μ+ + νμ → νμ + e+ + νe + νμ
n (escapes) → p + e- + νe
Neutrino energy = Proton energy / 20Gamma-ray energy = Proton energy / 20
ν
γCR
1 PeV 20 PeV
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The multi-messenger connection
Mauricio Bustamante (Niels Bohr Institute) 5
p + γtarget
→ Δ+ → n + π+, Br = 1/3p + π0, Br = 2/3
π0 → γ + γπ+ → μ+ + νμ → νμ + e+ + νe + νμ
n (escapes) → p + e- + νe
Neutrino energy = Proton energy / 20Gamma-ray energy = Proton energy / 20
ν
γCR
GW
1 PeV 20 PeV
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Mauricio Bustamante (Niels Bohr Institute) 6
IceCube – What is it?▸ Km3 in-ice Cherenkov detector in Antarctica
▸ >5000 PMTs at 1.5–2.5 km of depth
▸ Sensitive to neutrino energies > 10 GeV
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Mauricio Bustamante (Niels Bohr Institute) 7
How does IceCube see neutrinos?
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Mauricio Bustamante (Niels Bohr Institute) 8
What has IceCube found so far (7.5 years)?
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Mauricio Bustamante (Niels Bohr Institute) 8
What has IceCube found so far (7.5 years)?
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Mauricio Bustamante (Niels Bohr Institute) 8
What has IceCube found so far (7.5 years)?103 contained events between 15 TeV – 2 PeV
I. Taboada, Neutrino 2018
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Mauricio Bustamante (Niels Bohr Institute) 8
What has IceCube found so far (7.5 years)?Astrophysical ν fux detected at > 7σ
(Normalization ok, but steep spectrum)103 contained events between 15 TeV – 2 PeV
I. Taboada, Neutrino 2018
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Mauricio Bustamante (Niels Bohr Institute) 8
What has IceCube found so far (7.5 years)?Arrival directions compatible with isotropy
I. Taboada, Neutrino 2018
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Mauricio Bustamante (Niels Bohr Institute) 8
What has IceCube found so far (7.5 years)?Flavor composition compatible with equal proportion of each favor
I. Taboada, Neutrino 2018
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In the face of astrophysical unknowns,can we extract fundamental TeV–PeV ν physics?
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In the face of astrophysical unknowns,can we extract fundamental TeV–PeV ν physics?
Yes.
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Neutrino physicist
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Fundamental physics with HE astrophysical neutrinos
▸ Numerous new-physics effects grow as ~ κn · En · L
▸ So we can probe κn ~ 4 · 10-47 (E/PeV)-n (L/Gpc)-1 PeV1-n
▸ Improvement over current limits: κ0 < 10-29 PeV, κ1 < 10-33
▸ Fundamental physics can be extracted from: ▸ Spectral shape ▸ Angular distribution ▸ Flavor information
Mauricio Bustamante (Niels Bohr Institute) 11
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Fundamental physics with HE astrophysical neutrinos
▸ Numerous new-physics effects grow as ~ κn · En · L
▸ So we can probe κn ~ 4 · 10-47 (E/PeV)-n (L/Gpc)-1 PeV1-n
▸ Improvement over current limits: κ0 < 10-29 PeV, κ1 < 10-33
▸ Fundamental physics can be extracted from: ▸ Spectral shape ▸ Angular distribution ▸ Flavor information
n = -1: neutrino decayn = 0: CPT-odd Lorentz violationn = +1: CPT-even Lorentz violation
Mauricio Bustamante (Niels Bohr Institute) 11
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Fundamental physics with HE astrophysical neutrinos
▸ Numerous new-physics effects grow as ~ κn · En · L
▸ So we can probe κn ~ 4 · 10-47 (E/PeV)-n (L/Gpc)-1 PeV1-n
▸ Improvement over current limits: κ0 < 10-29 PeV, κ1 < 10-33
▸ Fundamental physics can be extracted from: ▸ Spectral shape ▸ Angular distribution ▸ Flavor information
In spite ofpoor energy, angular, favor reconstruction& astrophysical unknowns
n = -1: neutrino decayn = 0: CPT-odd Lorentz violationn = +1: CPT-even Lorentz violation
Mauricio Bustamante (Niels Bohr Institute) 11
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Particle Data GroupMauricio Bustamante (Niels Bohr Institute) 12
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Particle Data Group
Accelerator experiments
Mauricio Bustamante (Niels Bohr Institute) 12
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Particle Data Group
Accelerator experiments
One recentmeasurement(COHERENT)
Mauricio Bustamante (Niels Bohr Institute) 12
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Particle Data Group
Accelerator experiments
One recentmeasurement(COHERENT)
Nomeasurements… until now!
Mauricio Bustamante (Niels Bohr Institute) 12
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Particle Data Group
Accelerator experiments
One recentmeasurement(COHERENT)
Mauricio Bustamante (Niels Bohr Institute) 12
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Particle Data GroupMauricio Bustamante (Niels Bohr Institute) 12
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Particle Data Group
Quasi-elasticscattering:
νl + n → l- + pνl + p → l+ + n
Mauricio Bustamante (Niels Bohr Institute) 12
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Particle Data Group
Quasi-elasticscattering:
νl + n → l- + pνl + p → l+ + n
Resonant scattering: νl + N → l- + N* → l- + π + N’
Mauricio Bustamante (Niels Bohr Institute) 12
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Particle Data Group
Quasi-elasticscattering:
νl + n → l- + pνl + p → l+ + n
Resonant scattering: νl + N → l- + N* → l- + π + N’
Deep inelasticscattering:
νl + N → l- + Xνl + N → l+ + X
Mauricio Bustamante (Niels Bohr Institute) 12
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Extrapolating the cross section to high energies
Mauricio Bustamante (Niels Bohr Institute) 13
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Extrapolating the cross section to high energies
SM
Mauricio Bustamante (Niels Bohr Institute) 13
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Extrapolating the cross section to high energies
SM
+
PDFs
Mauricio Bustamante (Niels Bohr Institute) 13
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Extrapolating the cross section to high energies
=
SM
+
PDFs
Mauricio Bustamante (Niels Bohr Institute) 13
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Extrapolating the cross section to high energies
=
SM
+
PDFs
Mauricio Bustamante (Niels Bohr Institute) 13
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Measuring the high-energy cross section
Mauricio Bustamante (Niels Bohr Institute) 14
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Measuring the high-energy cross section
Mauricio Bustamante (Niels Bohr Institute) 14
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Measuring the high-energy cross section
Mauricio Bustamante (Niels Bohr Institute) 14
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Mauricio Bustamante (Niels Bohr Institute) 15
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Mauricio Bustamante (Niels Bohr Institute) 15
Downgoing
Upgoing
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Mauricio Bustamante (Niels Bohr Institute) 15
Downgoing
Upgoing
Transparent Earthe-τ ~ 1
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Mauricio Bustamante (Niels Bohr Institute) 15
Downgoing
Upgoing
Opaque Earthe-τ ~ 0
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Mauricio Bustamante (Niels Bohr Institute) 16MB & Connolly, 2017
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Mauricio Bustamante (Niels Bohr Institute) 16MB & Connolly, 2017
Downgoing events constrain (fux x cross section)
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Mauricio Bustamante (Niels Bohr Institute) 16MB & Connolly, 2017
Downgoing events constrain (fux x cross section)
Upgoing events constrain the cross section
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Mauricio Bustamante (Niels Bohr Institute) 16MB & Connolly, 2017
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Mauricio Bustamante (Niels Bohr Institute) 16MB & Connolly, 2017
Energy too low: Nν,up and Nν,down comparable
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Mauricio Bustamante (Niels Bohr Institute) 16MB & Connolly, 2017
Energy too high: fux too low, no upgoing events
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Mauricio Bustamante (Niels Bohr Institute) 16MB & Connolly, 2017
Goldilocks region
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17
Our resultMB & A. Connolly 2017
See also: IceCube, Nature 2017
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17
Our resultMB & A. Connolly 2017
See also: IceCube, Nature 2017
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17
Our resultMB & A. Connolly 2017
See also: IceCube, Nature 2017
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17
Our resultMB & A. Connolly 2017
See also: IceCube, Nature 2017
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17
Our resultMB & A. Connolly 2017
See also: IceCube, Nature 2017
Extending the PDGcross-section plot
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Mauricio Bustamante (Niels Bohr Institute) 18
Bonus: Measuring the inelasticity ⟨y⟩
Muon track
Hadronic showerEsh
Etr
IceCube, 1808.07629
▸ Inelasticity in CC νμ interaction νμ + N → μ + X:
EX = y Eν and Eμ = (1-y) Eν ⇒ y = (1 + Eμ/EX)-1
▸ The value of y follows a distribution dσ/dy
▸ In a HESE starting track:
EX = Esh (energy of shower) Eμ = Etr (energy of track)
▸ New IceCube analysis: ▸ 5 years of starting-track data (2650 tracks) ▸ Machine learning separates shower from track ▸ Different y distributions for ν and ν
y = (1 + Etr/Esh)-1
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Mauricio Bustamante (Niels Bohr Institute) 18
Bonus: Measuring the inelasticity ⟨y⟩
Muon track
Hadronic showerEsh
Etr
IceCube, 1808.07629
▸ Inelasticity in CC νμ interaction νμ + N → μ + X:
EX = y Eν and Eμ = (1-y) Eν ⇒ y = (1 + Eμ/EX)-1
▸ The value of y follows a distribution dσ/dy
▸ In a HESE starting track:
EX = Esh (energy of shower) Eμ = Etr (energy of track)
▸ New IceCube analysis: ▸ 5 years of starting-track data (2650 tracks) ▸ Machine learning separates shower from track ▸ Different y distributions for ν and ν
y = (1 + Etr/Esh)-1
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19
Argüelles, MB, Conrad, Kheirandish, Palomares-Ruiz, Salvadó, Vincent, In prep.
Note: Not an exhaustive list
Mauricio Bustamante (Niels Bohr Institute)
See also: Ahlers, Helbing, De los Heros, 1806.05696
New ν physics
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New physics in the spectral shape: νν interactions
Mauricio Bustamante (Niels Bohr Institute) 20
“Secret” neutrino interactions between astrophysical ν (PeV) and relic ν (0.1 meV):
Cross section:
Resonance energy:
Ng & Beacom, PRD 2014Cherry, Friedland, Shoemaker, 1411.1071Blum, Hook, Murase, 1408.3799
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New physics in the angular distribution: ν-DM interactions
Mauricio Bustamante (Niels Bohr Institute) 21
Expected: Fewer neutrinos coming from the Galactic CenterObserved: Isotropy
Interaction between astrophysical neutrinos and the Galactic dark matter profle –
Argüelles et al., PRL 2017
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IceCube, Nature Phys. 2018
New physics in the energy & angular distribution
Mauricio Bustamante (Niels Bohr Institute) 22
Lorentz invariance violation – Hamiltonian: H ~ m2/(2E) + a(3) – E · c(4) + E2 · a(5) – E3 · c(6)˚ ˚ ˚ ˚
(Using atmospheric neutrinos)
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IceCube, Nature Phys. 2018
New physics in the energy & angular distribution
Mauricio Bustamante (Niels Bohr Institute) 22
Lorentz invariance violation – Hamiltonian: H ~ m2/(2E) + a(3) – E · c(4) + E2 · a(5) – E3 · c(6)˚ ˚ ˚ ˚Standard oscillations
Lorentz violation
(Using atmospheric neutrinos)
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IceCube, Nature Phys. 2018
New physics in the energy & angular distribution
Mauricio Bustamante (Niels Bohr Institute) 22
Lorentz invariance violation – Hamiltonian: H ~ m2/(2E) + a(3) – E · c(4) + E2 · a(5) – E3 · c(6)
Best bounds come from IceCube
˚ ˚ ˚ ˚Standard oscillations
Lorentz violation
(Using atmospheric neutrinos)
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New physics in the favor composition
Mauricio Bustamante (Niels Bohr Institute) 23
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Why are favor ratios useful?
Mauricio Bustamante (Niels Bohr Institute) 24
▸ The normalization of the fux is uncertain – but it cancels out in favor ratios:
▸ Ratios remove systematic uncertainties common to all favors
▸ Flavor ratios are useful in astrophysics and particle physics
Flux at Earth of να (α = e, μ, τ)Sum of fuxes of all favors
α-favor ratio at Earth (fα,⊕) =
Note: Ratios are for ν + ν, since neutrino telescopes cannot tell them apart
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Reading a ternary plot
Mauricio Bustamante (Niels Bohr Institute)
Assumes underlying unitarity – sum of projections on each axis is 1
How to read it: Follow the tilt of the tick marks, e.g.,
(e:μ:τ) = (0.30:0.45:0.25)
74
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Flavor content of neutrino mass eigenstates
Mauricio Bustamante (Niels Bohr Institute) 26
Flavor content for every allowed combination of mixing parameters –
|Uαi|2 =|Uαi(θ12, θ23, θ13, δCP)|2
MB, Beacom, Winter PRL 2015
Known to within 8%
Known to within 2%
Known to within 20%(or worse)
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IceCube favor composition (pre-Neutrino 2018)
Mauricio Bustamante (Niels Bohr Institute) 27
▸ Compare number of tracks (νμ) vs. showers (all favors)
▸ Best ft: (fe : fμ : fτ) ⊕ = (0.49 : 0.51 : 0)⊕
▸ Compatible with standard source compositions
▸ Lots of room for improvement: more statistics, better favor-tagging
M. Usner, ICRC 2017 Li, MB, Beacom 2016
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Flavor – there and here
Mauricio Bustamante (Niels Bohr Institute) 28
At the sources At Earth
(fe:fμ:fτ)S = (1/3 : 2/3 : 0)S (0.36 : 0.32 : 0.32)⊕Neutrino oscillations
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Flavor – there and here
Mauricio Bustamante (Niels Bohr Institute) 28
At the sources At Earth
(fe:fμ:fτ)S = (1/3 : 2/3 : 0)S (0.36 : 0.32 : 0.32)⊕Neutrino oscillations
p + γ → νμ + νμ + νe
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Flavor – there and here
Mauricio Bustamante (Niels Bohr Institute) 28
At the sources At Earth
(fe:fμ:fτ)S = (1/3 : 2/3 : 0)S (0.36 : 0.32 : 0.32)⊕Neutrino oscillations
p + γ → νμ + νμ + νe
Uncertainties in values of mixing parameter (1σ, 3σ)
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Flavor composition – Standard allowed region
Mauricio Bustamante (Niels Bohr Institute) 29
At the sources At Earth
All possible favor ratios
MB, Beacom, Winter PRL 2015
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Flavor composition – Standard allowed region
Mauricio Bustamante (Niels Bohr Institute) 29
At the sources At Earth
All possible favor ratiosOnly 10% of parameter space
MB, Beacom, Winter PRL 2015
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Flavor – What is it good for?
Mauricio Bustamante (Niels Bohr Institute) 30
Ahlers, MB, Mu, In prep.MB, Ahlers, In prep.
Trusting particle physicsand learning about astrophysics
Trusting astrophysicsand learning about particle physics
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Two classes of new physics
Mauricio Bustamante (Niels Bohr Institute) 31
▸ Neutrinos propagate as an incoherent mix of ν1, ν2, ν3
▸ Each one has a different favor content:
▸ Flavor ratios at Earth are the result of their combination
▸ New physics may: ▸ Only reweigh the proportion of each νi reaching Earth (e.g., ν decay) ▸ Redefne the propagation states (e.g., Lorentz-invariance violation)
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Two classes of new physics
Mauricio Bustamante (Niels Bohr Institute) 31
▸ Neutrinos propagate as an incoherent mix of ν1, ν2, ν3
▸ Each one has a different favor content:
▸ Flavor ratios at Earth are the result of their combination
▸ New physics may: ▸ Only reweigh the proportion of each νi reaching Earth (e.g., ν decay) ▸ Redefne the propagation states (e.g., Lorentz-invariance violation)
w1 + w2 + w3
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Flavor ratios accessible with decay-like physics
Mauricio Bustamante (Niels Bohr Institute) 32
Region of all linear combinationsof ν1, ν2, ν3
Only 25% of parameter space
What lies outside?
MB, Beacom, Winter PRL 2015
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Measuring the neutrino lifetime
Mauricio Bustamante (Niels Bohr Institute) 33
ν2, ν
3 → ν
1
ν1 lightest and stable
ν1, ν
2 → ν
3
ν3 lightest and stable
Sources
Earth
If all unstable neutrinos decay
fα,⊕ = |Uα1|2
fα,⊕ = |Uα3|2
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Measuring the neutrino lifetime
Mauricio Bustamante (Niels Bohr Institute) 33
ν2, ν
3 → ν
1
ν1 lightest and stable
ν1, ν
2 → ν
3
ν3 lightest and stable
Sources
Earth
If all unstable neutrinos decay
fα,⊕ = |Uα1|2
fα,⊕ = |Uα3|2
Decay rate depends on exp[- t / (γτi)] = exp[- (L/E) · (mi/τi)]
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Mauricio Bustamante (Niels Bohr Institute)
MB, Beacom, Murase, PRD 2017
34
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Mauricio Bustamante (Niels Bohr Institute)
`
Pure ν1 disfavored at > 2σMB, Beacom, Murase, PRD 2017
34
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Mauricio Bustamante (Niels Bohr Institute)
`
Pure ν1 disfavored at > 2σMB, Beacom, Murase, PRD 2017
34
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What lies beyond? Take your pick
Mauricio Bustamante (Niels Bohr Institute) 35
▸ High-energy effective feld theories ▸ Violation of Lorentz and CPT invariance [Barenboim & Quigg, PRD 2003; MB, Gago, Peña-Garay, JHEP 2010; Kostelecky & Mewes 2004]
▸ Violation of equivalence principle [Gasperini, PRD 1989; Glashow et al., PRD 1997]
▸ Coupling to a gravitational torsion feld [De Sabbata & Gasperini, Nuovo Cim. 1981]
▸ Renormalization-group-running of mixing parameters [MB, Gago, Jones, JHEP 2011]
▸ Active-sterile mixing [Aeikens et al., JCAP 2015; V. Brdar, JCAP 2017]
▸ Flavor-violating physics ▸ New νν interactions [Ng & Beacom, PRD 2014; Cherry, Friedland, Shoemaker, 1411.1071; Blum, Hook, Murase, 1408.3799]
▸ New neutrino-electron interactions [MB & Agarwalla, 1808.02042]
▸ …
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What lies beyond? Take your pick
Mauricio Bustamante (Niels Bohr Institute) 35
▸ High-energy effective feld theories ▸ Violation of Lorentz and CPT invariance [Barenboim & Quigg, PRD 2003; MB, Gago, Peña-Garay, JHEP 2010; Kostelecky & Mewes 2004]
▸ Violation of equivalence principle [Gasperini, PRD 1989; Glashow et al., PRD 1997]
▸ Coupling to a gravitational torsion feld [De Sabbata & Gasperini, Nuovo Cim. 1981]
▸ Renormalization-group-running of mixing parameters [MB, Gago, Jones, JHEP 2011]
▸ Active-sterile mixing [Aeikens et al., JCAP 2015; V. Brdar, JCAP 2017]
▸ Flavor-violating physics ▸ New νν interactions [Ng & Beacom, PRD 2014; Cherry, Friedland, Shoemaker, 1411.1071; Blum, Hook, Murase, 1408.3799]
▸ New neutrino-electron interactions [MB & Agarwalla, 1808.02042]
▸ …
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New physics – High-energy effects
Mauricio Bustamante (Niels Bohr Institute) 36
For n = 0(similar for n = 1)
Argüelles, Katori, Salvadó, PRL 2015
This can populate all of the triangle –
▸ Use current atmospheric bounds on On,i: O0 < 10-23 GeV, O1/Λ1 < 10-27 GeV
▸ Sample the unknown new mixing anglesSee also: Rasmusen et al., PRD 2017; MB, Beacom, Winter PRL 2015; MB, Gago, Peña-Garay JCAP 2010; Bazo, MB, Gago, Miranda IJMPA 2009; + many others
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New physics – High-energy effects
Mauricio Bustamante (Niels Bohr Institute) 36
For n = 0(similar for n = 1)
Argüelles, Katori, Salvadó, PRL 2015
This can populate all of the triangle –
▸ Use current atmospheric bounds on On,i: O0 < 10-23 GeV, O1/Λ1 < 10-27 GeV
▸ Sample the unknown new mixing anglesSee also: Rasmusen et al., PRD 2017; MB, Beacom, Winter PRL 2015; MB, Gago, Peña-Garay JCAP 2010; Bazo, MB, Gago, Miranda IJMPA 2009; + many others
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Using unitarity to constrain new physics
Mauricio Bustamante (Niels Bohr Institute) 37
▸ New mixing angles unconstrained
▸ Use unitarity to bound all possible favor ratios at Earth
▸ Can be used as prior in new-physics searches in IceCube
Ahlers, MB, Mu, In prep.
Htot = Hstd + HNP
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Ultra-long-range favorful interactions
▸ Simple extension of the SM: Promote the global lepton-number symmetries Le-Lμ, Le-Lτ to local symmetries
▸ They introduce new interaction between electrons and νe and νμ or ντ mediated by a new neutral vector boson (Z’):
▸ Affects oscillations
▸ If the Z’ is very light, many electrons can contribute
Mauricio Bustamante (Niels Bohr Institute) 38
X.-G. He, G.C. Joshi, H. Lew, R. R. Volkas, PRD 1991 / R. Foot, X.-G. He, H. Lew, R. R. Volkas, PRD 1994 A. Joshipura, S. Mohanty, PLB 2004 / J. Grifols & E. Massó, PLB 2004 / A. Bandyopadhyay, A. Dighe, A. Joshipura, PRD 2007
M.C. González-García, P..C. de Holanda, E. Massó, R. Zukanovich Funchal, JCAP 2007 / A. Samanta, JCAP 2011S.-S. Chatterjee, A. Dasgupta, S. Agarwalla, JHEP 2015
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The new potential sourced by an electron
Under the Le-Lμ or Le-Lτ symmetry, an electron sources a Yukawa potential ―
A neutrino “feels” all the electrons within the interaction range ~(1/m’)
Mauricio Bustamante (Niels Bohr Institute) 39
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The new potential sourced by an electron
Under the Le-Lμ or Le-Lτ symmetry, an electron sources a Yukawa potential ―
A neutrino “feels” all the electrons within the interaction range ~(1/m’)
Mauricio Bustamante (Niels Bohr Institute) 39
Z’ massZ’ coupling
Distance to neutrino
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Mauricio Bustamante (Niels Bohr Institute) 40
Electron-neutrino interactions can kill oscillations
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Mauricio Bustamante (Niels Bohr Institute) 40
Electron-neutrino interactions can kill oscillations
Standard oscillations:Neutrinos change favor
because this is non-diagonal
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Mauricio Bustamante (Niels Bohr Institute) 40
Electron-neutrino interactions can kill oscillations
Standard oscillations:Neutrinos change favor
because this is non-diagonal
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Mauricio Bustamante (Niels Bohr Institute) 40
Electron-neutrino interactions can kill oscillations
New neutrino-electron interaction:This is diagonal
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Mauricio Bustamante (Niels Bohr Institute) 40
Electron-neutrino interactions can kill oscillations
New neutrino-electron interaction:This is diagonal
Z’ parameters
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Mauricio Bustamante (Niels Bohr Institute) 40
Electron-neutrino interactions can kill oscillations
New neutrino-electron interaction:This is diagonal
Z’ parameters
If Veβ dominates (g’ ≫ 1, m’ ≪ 1), oscillations turn off
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Mauricio Bustamante (Niels Bohr Institute) 40
Electron-neutrino interactions can kill oscillations
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Mauricio Bustamante (Niels Bohr Institute) 40
Electron-neutrino interactions can kill oscillations
~1/E Energy-independent
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Mauricio Bustamante (Niels Bohr Institute) 40
Electron-neutrino interactions can kill oscillations
~1/E Energy-independent
∴ We can use high-energy astrophysical neutrinos
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Electrons in the local and distant Universe
Mauricio Bustamante (Niels Bohr Institute) 41
Potential:
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Electrons in the local and distant Universe
Mauricio Bustamante (Niels Bohr Institute) 41
Potential:
Interaction range:
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Electrons in the local and distant Universe
Mauricio Bustamante (Niels Bohr Institute) 41
Potential:
Interaction range:
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Electrons in the local and distant Universe
Mauricio Bustamante (Niels Bohr Institute) 41
Potential:
Interaction range:
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Electrons in the local and distant Universe
Mauricio Bustamante (Niels Bohr Institute) 41
Potential:
Interaction range:
Light mediators⇒ Long interaction ranges
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Electrons in the local and distant Universe
Mauricio Bustamante (Niels Bohr Institute) 41
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Electrons in the local and distant Universe
Mauricio Bustamante (Niels Bohr Institute) 41
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Electrons in the local and distant Universe
Mauricio Bustamante (Niels Bohr Institute) 41
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Electrons in the local and distant Universe
Mauricio Bustamante (Niels Bohr Institute) 41
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Electrons in the local and distant Universe
Mauricio Bustamante (Niels Bohr Institute) 41
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Electrons in the local and distant Universe
Mauricio Bustamante (Niels Bohr Institute) 41
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The total potential
42Mauricio Bustamante (Niels Bohr Institute)
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The total potential
42Mauricio Bustamante (Niels Bohr Institute)
Earth:
ν
ν ν
ν
ν νν
ν ν
Neutrinos traverse different electron column depths
Preliminary Reference Earth ModelDziewonski & Anderson 1981
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The total potential
42Mauricio Bustamante (Niels Bohr Institute)
Moon and Sun:
Treated as point sources of electrons
1 A.U.
Earth
Sun
Moon380,000 km
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The total potential
42Mauricio Bustamante (Niels Bohr Institute)
Milky Way:P. McMillan 2011
M.J. Miller & J.N. Bregman 2013
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The total potential
42Mauricio Bustamante (Niels Bohr Institute)
Milky Way:P. McMillan 2011
M.J. Miller & J.N. Bregman 2013
Central bulge
Thick & thindiscs of stars
+ cold gas
Halo of hot gas
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The total potential
42Mauricio Bustamante (Niels Bohr Institute)
Cosmological electrons:
Interaction range
Causal horizon(15 Gpc at z=0)
Electronsuniformly
distributed
ν
Electrons here contribute fully to the potential
Electrons hereare screened
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The total potential
42Mauricio Bustamante (Niels Bohr Institute)
` `
Z’ mass LighterHeavier
Interaction range LongerShorter
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43MB, S. Agarwalla, 1808.02042
Mauricio Bustamante (Niels Bohr Institute)
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43MB, S. Agarwalla, 1808.02042
Mauricio Bustamante (Niels Bohr Institute)
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43
gstrong ~ 13.5ge.m. ~ 0.3
gweak ~ 0.01ggravity ~ 10-19
MB, S. Agarwalla, 1808.02042Mauricio Bustamante (Niels Bohr Institute)
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43
gstrong ~ 13.5ge.m. ~ 0.3
gweak ~ 0.01ggravity ~ 10-19
MB, S. Agarwalla, 1808.02042Mauricio Bustamante (Niels Bohr Institute)
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43
gstrong ~ 13.5ge.m. ~ 0.3
gweak ~ 0.01ggravity ~ 10-19
Dominated byelectrons in theEarth + Moon
Dominated bysolar electrons(+ Milky-Way e)
Dominated byMilky-Way e
Dominated bycosmological e
MB, S. Agarwalla, 1808.02042Mauricio Bustamante (Niels Bohr Institute)
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44Mauricio Bustamante (Niels Bohr Institute)(This plot for fxed Eν = 100 TeV)
MB, S. Agarwalla, 1808.02042
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44Mauricio Bustamante (Niels Bohr Institute)(This plot for fxed Eν = 100 TeV)
MB, S. Agarwalla, 1808.02042
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44
We assume equal proportions of ν and ν
(e.g., production via pp)
Mauricio Bustamante (Niels Bohr Institute)(This plot for fxed Eν = 100 TeV)
MB, S. Agarwalla, 1808.02042
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44
We assume equal proportions of ν and ν
(e.g., production via pp)
Mauricio Bustamante (Niels Bohr Institute)(This plot for fxed Eν = 100 TeV)
Standard oscillations(0:1:0)S → (0.25:0.37:0.38)⊕
MB, S. Agarwalla, 1808.02042
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44
We assume equal proportions of ν and ν
(e.g., production via pp)
Mauricio Bustamante (Niels Bohr Institute)(This plot for fxed Eν = 100 TeV)
New potential dominates(0:1:0)S → (0:1:0)⊕
Standard oscillations(0:1:0)S → (0.25:0.37:0.38)⊕
MB, S. Agarwalla, 1808.02042
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44
We assume equal proportions of ν and ν
(e.g., production via pp)
Mauricio Bustamante (Niels Bohr Institute)(This plot for fxed Eν = 100 TeV)
New potential dominates(0:1:0)S → (0:1:0)⊕
Standard oscillations(0:1:0)S → (0.25:0.37:0.38)⊕
We can disfavor all valuesof m’ and g’ that lead to
these favor ratiosMB, S. Agarwalla, 1808.02042
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44
We assume equal proportions of ν and ν
(e.g., production via pp)
Mauricio Bustamante (Niels Bohr Institute)(This plot for fxed Eν = 100 TeV)
MB, S. Agarwalla, 1808.02042
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44
We assume equal proportions of ν and ν
(e.g., production via pp)
Mauricio Bustamante (Niels Bohr Institute)
Set an upper limit on geμ‘
(This plot for fxed Eν = 100 TeV)MB, S. Agarwalla, 1808.02042
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44
We assume equal proportions of ν and ν
(e.g., production via pp)
Mauricio Bustamante (Niels Bohr Institute)
Set an upper limit on geμ‘
Set a lower limit on geμ‘
(This plot for fxed Eν = 100 TeV)MB, S. Agarwalla, 1808.02042
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45Mauricio Bustamante (Niels Bohr Institute)
← For this plot, mass ordering is normal and favor at sources is (1/3 : 2/3 : 0)S
▸ Best sensitivity at low Z’ masses
▸ But signifcance is low (1σ) because of difculty in measuring favor
▸ Results are robust against: ▸ Uncertainty in mixing parameters ▸ Uncertainty in ν spectral index ▸ Choice of neutrino mass ordering
▸ Similar results for Le-Lτ
The result
MB, S. Agarwalla, 1808.02042
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Mauricio Bustamante (Niels Bohr Institute) 46
Very rare,not detected yet
Quo vadis? Ultra-high-energy neutrinos
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Mauricio Bustamante (Niels Bohr Institute) 46
Quo vadis? Ultra-high-energy neutrinos
IceCube:κn ~ 4 · 10-47 (E/PeV)-n (L/Gpc)-1 PeV1-n
ARA/ARIANNA/ANITA/GRAND/POEMMA/BEACON/etc.:
κn ~ 4 · 10-50 (E/EeV)-n (L/Gpc)-1 EeV1-nFuture
Present
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Mauricio Bustamante (Niels Bohr Institute) 46
Quo vadis? Ultra-high-energy neutrinos
IceCube:κn ~ 4 · 10-47 (E/PeV)-n (L/Gpc)-1 PeV1-n
ARA/ARIANNA/ANITA/GRAND/POEMMA/BEACON/etc.:
κn ~ 4 · 10-50 (E/EeV)-n (L/Gpc)-1 EeV1-nFuture
Present
Giant Radio Array for Neutrino DetectionWeb: grand.cnrs.fr
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Mauricio Bustamante (Niels Bohr Institute) 47
What are you taking home?
▸ Astrophysical neutrinos are the only feasible way to probe TeV–PeV physics
▸ New physics is possibly sub-dominant – so we need to be thorough
▸ We can extract TeV–PeV ν physics now, in spite of astrophysical unknowns
▸ Forthcoming improvements: statistics, better reconstruction, higher energies
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Adapted fromDC Comics, World’s Finest #153
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Backup slides
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Inferring favor composition at the sources
Measured:Flavor ratios at Earth
Inferred:Flavor ratios at
astrophysical sources
Invert favor oscillations
MB, Ahlers, In prep.
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Inferring favor composition at the sources
Measured:Flavor ratios at Earth
Inferred:Flavor ratios at
astrophysical sources
Invert favor oscillations
MB, Ahlers, In prep.
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Inferring favor composition at the sources
Measured:Flavor ratios at Earth
Inferred:Flavor ratios at
astrophysical sources
Invert favor oscillations
MB, Ahlers, In prep.
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Uncertainties in lepton mixing angles
Mauricio Bustamante (Niels Bohr Institute) 152
As of 2015 –
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Flavor ratios – The ideal world vs. the real world
Mauricio Bustamante (Niels Bohr Institute) 153
… you know very precisely...
…the neutrino mixing parameters…
…the neutrino production mechanism...
… then you can infer very precisely...
… favor ratios emitted by sources
… values of the mixing parameters
The ideal world
If you measure very precisely the favor ratios at Earth and...
… you know …
…mixing parameters up to a few deg…
… little about ν production scenarios…
… then you can …
… disfavor a few ν production scenarios
… say nothing about mixing parameters
The real world
You measure favor ratios at Earth poorly
and...
vs.
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Flavor ratios – The ideal world vs. the real world
Mauricio Bustamante (Niels Bohr Institute) 154
… you know very precisely...
…the neutrino mixing parameters…
…the neutrino production mechanism...
… then you can infer very precisely...
… favor ratios emitted by sources
… values of the mixing parameters
The ideal world
If you measure very precisely the favor ratios at Earth and...
… you know …
…mixing parameters up to a few deg…
… little about ν production scenarios…
… then you can …
… disfavor a few ν production scenarios
… say nothing about mixing parameters
The real world
You measure favor ratios at Earth poorly
and...
vs. But we can thoroughly explore new physics
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Flavor composition – a few source choices
Mauricio Bustamante (Niels Bohr Institute) 155
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MB, Beacom, Winter PRL 2015
Flavor composition – a few source choices
Mauricio Bustamante (Niels Bohr Institute) 156
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Side note: Improving favor-tagging using echoes
Mauricio Bustamante (Niels Bohr Institute) 157
Late-time light (echoes) from muon decays and neutron captures can separate showers made by νe and ντ –
Li, MB, Beacom, Sub. to PRL
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Side note: Improving favor-tagging using echoes
Mauricio Bustamante (Niels Bohr Institute) 158
Late-time light (echoes) from muon decays and neutron captures can separate showers made by νe and ντ – ~10 × improvement over
current measurement
Li, MB, Beacom, Sub. to PRL
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Side note: Improving favor-tagging using echoes
Mauricio Bustamante (Niels Bohr Institute) 159
Late-time light (echoes) from muon decays and neutron captures can separate showers made by νe and ντ – ~10 × improvement over
current measurement
Li, MB, Beacom, Sub. to PRL
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Hadronic vs. electromagnetic showers
Mauricio Bustamante (Niels Bohr Institute) 160Li, MB, Beacom, Sub. to PRL
For 100-TeV shower
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Energy dependence of the favor composition?
Mauricio Bustamante (Niels Bohr Institute) 161
Different neutrino production channels accessible at different energies –
MB, Beacom, Winter PRL 2015
▸ TP13: pγ model, target photons from electron-positron annihilation [Hümmer+, Astropart. Phys. 2010]
▸ Will be difcult to resolve [Kashti, Waxman, PRL 2005; Lipari, Lusignoli, Meloni, PRD 2007]
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… Observable in IceCube-Gen2?
Mauricio Bustamante (Niels Bohr Institute) 162
Borrowed from M. Kowalski
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Mauricio Bustamante (Niels Bohr Institute) 163
Peeking inside a proton
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Mauricio Bustamante (Niels Bohr Institute) 164
Contained vs. uncontained νN interactionsContained events Uncontained events
νμ
μ
IceCube
νeντ
νμ
μ
Starting track Shower Through-going muon
Pro: Clean determination of Eν
Con: Few events (<100)Pro: Lots of events (~10k used)Con: Uncertain estimates of Eν
Pro: Clean determination of Eν
Con: Few events (<100)
Ref.: MB & A. Connolly, 1711.11043 Ref.: IceCube, Nature 2017, 1711.08119
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Mauricio Bustamante (Niels Bohr Institute) 165MB & Connolly, 1711.11043
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Mauricio Bustamante (Niels Bohr Institute) 166MB & Connolly, 1711.11043
Downgoing events constrain (fux x cross section)
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Mauricio Bustamante (Niels Bohr Institute) 167MB & Connolly, 1711.11043
Downgoing events constrain (fux x cross section)
Upgoing events constrain the cross section
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Mauricio Bustamante (Niels Bohr Institute) 168MB & Connolly, 1711.11043
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Mauricio Bustamante (Niels Bohr Institute) 169MB & Connolly, 1711.11043
Energy too low: Nν,up and Nν,down comparable
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Mauricio Bustamante (Niels Bohr Institute) 170MB & Connolly, 1711.11043
Energy too high: fux too low, no upgoing events
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Mauricio Bustamante (Niels Bohr Institute) 171MB & Connolly, 1711.11043
Goldilocks region
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Mauricio Bustamante (Niels Bohr Institute) 172
A feel for the in-Earth attenuationEarth matter density
+
Neutrino-nucleon cross section(Preliminary Reference Earth Model)
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Mauricio Bustamante (Niels Bohr Institute) 173
A feel for the in-Earth attenuation
=
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Mauricio Bustamante (Niels Bohr Institute) 174
Cross section from contained events
▸ σνN varies with neutrino energy use events where ⇒ Eν is well-reconstructed
▸ These are IceCube High-Energy Starting Events (HESE): ▸ νN interaction occurs inside the detector ▸ ☑ Showers: completely contained in the detector (Edep ≈ Eν) ▸ ☒ Tracks: partially contained (Edep < Eν)
▸ We use the 58 publicly available HESE showers (6-year sample)
▸ HESE tracks could be used – but we would need non-public data to reconstruct Eν without bias
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Mauricio Bustamante (Niels Bohr Institute) 175
Sensitivity to σ in each bin
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Mauricio Bustamante (Niels Bohr Institute) 176
Bin-by-bin analysis
18–50 TeV (17 showers)
50–100 TeV (18 showers)
100–400 TeV (20 showers)
400–2004 TeV (3 showers)
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Mauricio Bustamante (Niels Bohr Institute) 177
The fne print▸ High-energy ν‘s: astrophysical (isotropic) + atmospheric (anisotropic) ↦ We take into account the shape of the atmospheric contribution
▸ The shape of the astrophysical ν energy spectrum is still uncertain ↦ We take a E-γ spectrum in narrow energy bins
▸ NC showers are sub-dominant to CC showers, but they are indistinguishable ↦ Following Standard-Model predictions, we take σNC = σCC/3
▸ IceCube does not distinguish ν from ν, and their cross-sections are different ↦ We assume equal fuxes, expected from production via pp collisions ↦ We assume the avg. ratio <σνN/σνN> in each bin known, from SM predictions
▸ The favor composition of astrophysical neutrinos is still uncertain ↦ We assume equal fux of each favor, compatible with theory and observations
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Mauricio Bustamante (Niels Bohr Institute) 178
What goes into the (likelihood) mix?
▸ Inside each energy bin, we freely vary ▸ Nast (showers from astrophysical neutrinos) ▸ Natm (showers from atmospheric neutrinos) ▸ γ (astrophysical spectral index) ▸ σCC (neutrino-nucleon charged-current cross section)
▸ For each combination, we generate the angular and energy shower spectrum…
▸ … and compare it to the observed HESE spectrum via a likelihood
▸ Maximum likelihood yields σCC (marginalized over nuisance parameters)
▸ Bins are independent of each other – there are no (signifcant) cross-bin correlations
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Mauricio Bustamante (Niels Bohr Institute) 179
What goes into the (likelihood) mix?
▸ Inside each energy bin, we freely vary ▸ Nast (showers from astrophysical neutrinos) ▸ Natm (showers from atmospheric neutrinos) ▸ γ (astrophysical spectral index) ▸ σCC (neutrino-nucleon charged-current cross section)
▸ For each combination, we generate the angular and energy shower spectrum…
▸ … and compare it to the observed HESE spectrum via a likelihood
▸ Maximum likelihood yields σCC (marginalized over nuisance parameters)
▸ Bins are independent of each other – there are no (signifcant) cross-bin correlations
Including detector resolution(10% in energy, 15° in direction)
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Mauricio Bustamante (Niels Bohr Institute) 180
Energy and angular shower spectraRate from all favors, CC + NC:
Contribution from one favor CC:
MB & A. Connolly, 1711.11043
Conversion between shower energy and neutrino energy:
= 0.83
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Mauricio Bustamante (Niels Bohr Institute) 181
Detector resolutionNumber of contained showers:
Energy resolution: [Palomares-Ruiz, Vincent, Mena PRD 2015; Vincent, Palomares-Ruiz, Mena PRD 2016; MB, Beacom. Murase, PRD 2016]
Angular resolution:
with
with and
IceCube, JINST 2014
MB & A. Connolly, 1711.11043
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Mauricio Bustamante (Niels Bohr Institute) 182
LikelihoodIn an energy bin containing Nsh observed showers, the likelihood isobs
Partial likelihood, i.e., relative probability of the i-th shower being from an atmospheric neutrino or an astrophysical neutrino:
PDF for this shower to be made by an atmospheric ν
PDF for this shower to be made by an astrophysical ν
See also: Palomares-Ruiz, Vincent, Mena PRD 2015; Vincent, Palomares-Ruiz, Mena PRD 2016
Each energy bin is independent
Depends on σνN
Depends on γ and σνN
MB & A. Connolly, 1711.11043
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Mauricio Bustamante (Niels Bohr Institute) 183
Best-ft values and uncertainties
MB & A. Connolly, 1711.11043
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Mauricio Bustamante (Niels Bohr Institute) 184
How to do better / more?▸ Currently, we are statistics-limited ↦ Solvable with more data from IceCube, IceCube-Gen2, KM3NeT
▸ Large errors in arrival direction (~10°) give errors in attenuation ↦ Solvable with ongoing IceCube improvements + KM3NeT
▸ Charged-current + neutral-current cross sections are indistinguishable ↦ Solvable (?) with muon and neutron echoes (Li, MB, Beacom 16)
▸ Cannot separate ν from ν ↦ Wait to detect Glashow resonance (~6.3 PeV), sensitive only to νe
▸ Use starting tracks / through-going muons ↦ Doable / done by IceCube (more next)
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Mauricio Bustamante (Niels Bohr Institute) 185
Marginalized cross section in each bin
MB & A. Connolly, 1711.11043
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Mauricio Bustamante (Niels Bohr Institute) 186
Using through-going muons instead
IceCube, Nature 2017
▸ Use ~104 through-going muons
▸ Measured: dEμ/dx
▸ Inferred: Eμ ≈ dEμ/dx
▸ From simulations (uncertain): most likely Eν given Eμ
▸ Fit the ratio σobs/σSM
1.30 (stat.) (syst.)
▸ All events grouped in a single energy bin 6–980 TeV
-0.19+0.21
-0.43+0.39
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Mauricio Bustamante (Niels Bohr Institute) 187
Neutrino zenith angle distribution
Figure byJakob Van SantenICRC 2017
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Mauricio Bustamante (Niels Bohr Institute) 188
IceCube now vs. ANITA/ARA/ARIANNA in the future
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Mauricio Bustamante (Niels Bohr Institute) 189
IceCube now vs. ANITA/ARA/ARIANNA in the future
Test predictions of deep inelastic scattering– down to PDFs at x ~ 10-4 (known)
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Mauricio Bustamante (Niels Bohr Institute) 190
IceCube now vs. ANITA/ARA/ARIANNA in the future
Opportunity to test unprobed nucleon structure– down to x < 10-5 (known)
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Mauricio Bustamante (Niels Bohr Institute) 191
The new ν physics matrixWhere it happens
At source During propagation
At detection
Energy Matter effects New interactions,sterile neutrinos
New resonances
Direction DM decay / annihilation
New ν-N, ν-DM interactions
Anomalous ν magnetic moment
Topology / favor Matter effects ν decay, sterile ν, new operators
Non-standard interactions
Time Lorentz-invariance violation
Argüelles, MB, Conrad, Kheirandish, Palomares-Ruiz, Salvadó, Vincent, In prep.
Wha
t it c
hang
es
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More information about GRAND: 1708.05128
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1.5
m
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Mauricio Bustamante (Niels Bohr Institute) 195
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Mauricio Bustamante (Niels Bohr Institute)
Main goal:Finding the sources of
UHECRs above 109 GeV
196
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Mauricio Bustamante (Niels Bohr Institute)
Main goal:Finding the sources of
UHECRs above 109 GeV
Secondary goal:Radioastronomyand cosmology
197
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Mauricio Bustamante (Niels Bohr Institute) 198
UHE Neutrinos – Where Do We Go?
Flux predictions
(Kotera 2010)
Existingupper limits
Future reach of existing in-ice radio detectors
Next-genair-radio and
space detectors
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Mauricio Bustamante (Niels Bohr Institute) 199
UHE Neutrinos – Where Do We Go?
GRAND will probe very low fuxes at
~109 GeV
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Mauricio Bustamante (Niels Bohr Institute) 200
UHE Neutrinos – Where Do We Go?
GRAND: 1–50 ν yr-1
vs.Full ARA, ARIANNA: 0.6–2 ν yr-1
GRAND will probe very low fuxes at
~109 GeV
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Measuring the neutrino lifetime
Mauricio Bustamante (Niels Bohr Institute)
Find the value of D so that decay is complete, i.e., fα,⊕ = |Uα1|2, for
▸ Any value of mixing parameters; and▸ Any favor ratios at the sources
(Assume equal lifetimes of ν2, ν
3)
MB, Beacom, Murase, PRD 2017Baerwald, MB, Winter, JCAP 2012
201
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Measuring the neutrino lifetime
Mauricio Bustamante (Niels Bohr Institute)
Find the value of D so that decay is complete, i.e., fα,⊕ = |Uα1|2, for
▸ Any value of mixing parameters; and▸ Any favor ratios at the sources
(Assume equal lifetimes of ν2, ν
3)
MB, Beacom, Murase, PRD 2017Baerwald, MB, Winter, JCAP 2012
Fraction of ν2, ν
3 remaining at Earth
202
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Measuring the neutrino lifetime
Mauricio Bustamante (Niels Bohr Institute)
Find the value of D so that decay is complete, i.e., fα,⊕ = |Uα1|2, for
▸ Any value of mixing parameters; and▸ Any favor ratios at the sources
(Assume equal lifetimes of ν2, ν
3)
MB, Beacom, Murase, PRD 2017Baerwald, MB, Winter, JCAP 2012
Fraction of ν2, ν
3 remaining at Earth
203
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Measuring the neutrino lifetime
Mauricio Bustamante (Niels Bohr Institute)
Find the value of D so that decay is complete, i.e., fα,⊕ = |Uα1|2, for
▸ Any value of mixing parameters; and▸ Any favor ratios at the sources
(Assume equal lifetimes of ν2, ν
3)
MB, Beacom, Murase, PRD 2017Baerwald, MB, Winter, JCAP 2012
Fraction of ν2, ν
3 remaining at Earth
204
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Measuring the neutrino lifetime
Mauricio Bustamante (Niels Bohr Institute)
Find the value of D so that decay is complete, i.e., fα,⊕ = |Uα1|2, for
▸ Any value of mixing parameters; and▸ Any favor ratios at the sources
(Assume equal lifetimes of ν2, ν
3)
MB, Beacom, Murase, PRD 2017Baerwald, MB, Winter, JCAP 2012
Fraction of ν2, ν
3 remaining at Earth
205
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Measuring the neutrino lifetime
Mauricio Bustamante (Niels Bohr Institute)
Find the value of D so that decay is complete, i.e., fα,⊕ = |Uα1|2, for
▸ Any value of mixing parameters; and▸ Any favor ratios at the sources
(Assume equal lifetimes of ν2, ν
3)
MB, Beacom, Murase, PRD 2017Baerwald, MB, Winter, JCAP 2012
Fraction of ν2, ν
3 remaining at Earth
206
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Measuring the neutrino lifetime
Mauricio Bustamante (Niels Bohr Institute)
Find the value of D so that decay is complete, i.e., fα,⊕ = |Uα1|2, for
▸ Any value of mixing parameters; and▸ Any favor ratios at the sources
(Assume equal lifetimes of ν2, ν
3)
MB, Beacom, Murase, PRD 2017Baerwald, MB, Winter, JCAP 2012
Fraction of ν2, ν
3 remaining at Earth
fα,⊕ = |Uα1|2 when D < 0.01
207
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Current limits on the Z’
Mauricio Bustamante (Niels Bohr Institute) 208
MeV–GeV masses Sub-eV masses
M. Wise & Y. Zhang, 1803.00591
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Mauricio Bustamante (Niels Bohr Institute) 13
Connecting favor-ratio predictions to experiment
2 Convolve favor ratios with observed neutrino energy spectrum ↦ Either E-2.50 (combined analysis) or E-2.13 (through-going muons)
Energy-averaged fux
1 Integrate potential in redshift, weighed by source number density ↦ Assume star formation rate
Density of cosmological e grows with z
⇒
Energy-averaged favor ratios
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Resonance due to the Le-Lμ symmetry
Mauricio Bustamante (Niels Bohr Institute) 210
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Resonance due to the Le-Lμ symmetry (cont.)
Mauricio Bustamante (Niels Bohr Institute) 211
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Flavor ratios for the Le-Lμ symmetry: NO vs. IO
Mauricio Bustamante (Niels Bohr Institute) 212
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Flavor ratios for the Le-Lτ symmetry: NO vs. IO
Mauricio Bustamante (Niels Bohr Institute) 213
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ANITA
Ice
Not to scale
35–40 km
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ANITA
Ice
Not to scale
35–40 km
UHECR
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ANITA
Ice
Not to scale
35–40 km
UHECR
UHECR
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ANITA
Ice
Not to scale
35–40 km
UHECR
UHECR
ANITA Collab., 1803.05088
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ANITA
Ice
Not to scale
35–40 km
UHECR
UHECR
ANITA Collab., 1803.05088
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ANITA
Ice
Not to scale
35–40 km
UHECR
UHECR
ANITA Collab., 1803.05088
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ANITA
Ice
Not to scale
35–40 km
UHECR
UHECR
ANITA Collab., 1803.05088
Samepolarity
Oppositepolarity
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ANITA
Ice
Not to scale
35–40 km
UHECR
UHECR
ANITA Collab., 1803.05088
Samepolarity
Oppositepolarityντ?
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Mauricio Bustamante (Niels Bohr Institute) 222
▸ Two upgoing, unfipped-polarity showers: ▸ ANITA-1 (2006): 20°±0.3° dec., 0.60±0.4 EeV ▸ ANITA-3 (2014): 38°±0.3° dec., 0.56±0.2 EeV
▸ Estimated background rate: < 10-2 events
▸ Were these showers due to ντ? Unlikely
▸ Optical depth to νN interactions at EeV:
▸ Flux is suppressed by e-18 = 10-8
ANITA Collab., PRL 2016 + 1803.05088
Mystery ANITA events – First UHE ν detected?
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Mauricio Bustamante (Niels Bohr Institute) 223
▸ Two upgoing, unfipped-polarity showers: ▸ ANITA-1 (2006): 20°±0.3° dec., 0.60±0.4 EeV ▸ ANITA-3 (2014): 38°±0.3° dec., 0.56±0.2 EeV
▸ Estimated background rate: < 10-2 events
▸ Were these showers due to ντ? Unlikely
▸ Optical depth to νN interactions at EeV:
▸ Flux is suppressed by e-18 = 10-8
ANITA Collab., PRL 2016 + 1803.05088
Mystery ANITA events – First UHE ν detected?
Problems with difuse-fux interp.
▸ Flux needs to be 108 times larger▸ No events seen closer to horizon
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Mauricio Bustamante (Niels Bohr Institute) 224
▸ Two upgoing, unfipped-polarity showers: ▸ ANITA-1 (2006): 20°±0.3° dec., 0.60±0.4 EeV ▸ ANITA-3 (2014): 38°±0.3° dec., 0.56±0.2 EeV
▸ Estimated background rate: < 10-2 events
▸ Were these showers due to ντ? Unlikely
▸ Optical depth to νN interactions at EeV:
▸ Flux is suppressed by e-18 = 10-8
ANITA Collab., PRL 2016 + 1803.05088
Mystery ANITA events – First UHE ν detected?
Problems with difuse-fux interp.
▸ Flux needs to be 108 times larger▸ No events seen closer to horizon
Transient astrophysical event?
▸ ANITA-1 event: none associated▸ ANITA-3 event: ▸ Type-Ia SN2014dz (z = 0.017) ▸ Within 1.9°, 5 hours before event ▸ Probability of chance SN: 3 × 10-3
▸ ν luminosity must exceed bolometric luminosity of 4 × 1042 erg s-1
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Mauricio Bustamante (Niels Bohr Institute) 225
▸ Transition radiation [Motloch et al., PRD 2017]: ▸ Refraction of radio waves at ice-air interface could make horizontal ντ look upgoing ▸ Assessment: Needs too large a diffuse fux of ντ, because transition radiation is a small effect
▸ Sterile neutrinos [Cherry & Shoemaker, 1802.01611; Huang, 1804.05362]: ▸ Sterile neutrinos propagate in Earth, then convert νs → ντ ▸ Assessment: Model predicts more (unseen) events at shallower angles ▸ Dark matter decay in Earth core [Anchordoqui et al., 1803.11554]: ▸ 480-PeV sterile right-handed νr in Earth core decays: νr → Higgs + ντ
▸ Assessment: Viable, but exotic explanation
Mystery ANITA events – What are they?
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Mauricio Bustamante (Niels Bohr Institute) 226
▸ Transition radiation [Motloch et al., PRD 2017]: ▸ Refraction of radio waves at ice-air interface could make horizontal ντ look upgoing ▸ Assessment: Needs too large a diffuse fux of ντ, because transition radiation is a small effect
▸ Sterile neutrinos [Cherry & Shoemaker, 1802.01611; Huang, 1804.05362]: ▸ Sterile neutrinos propagate in Earth, then convert νs → ντ ▸ Assessment: Model predicts more (unseen) events at shallower angles ▸ Dark matter decay in Earth core [Anchordoqui et al., 1803.11554]: ▸ 480-PeV sterile right-handed νr in Earth core decays: νr → Higgs + ντ
▸ Assessment: Viable, but exotic explanation
Mystery ANITA events – What are they?
?