Naturalness vs. the LHC · Naturalness vs. the LHC ... strong interactions (technicolor, ex. dim.)...

Naturalness vs. the LHC

Anna Kaminska

Schloss Waldthausen, 12.11.14

Anna Kaminska Naturalness vs. the LHC

Solving (?) the hierarchy problem

supersymmetryglobal symmetry (little Higgs)strong interactions (technicolor, ex. dim.)

combinations thereofcomposite Higgs”double protection”SUSY + compositeness/ex.dim.

scale inv. (+ Coleman-Weinberg)...


Solving (?) the hierarchy problem

supersymmetryglobal symmetry (little Higgs)strong interactions (technicolor, ex. dim.)combinations thereof

composite Higgs”double protection”SUSY + compositeness/ex.dim.

scale inv. (+ Coleman-Weinberg)...


Composite Higgs

electroweak symmetry breaking by new strong dynamicscomposite Higgs - PG boson

SO(5)/SO(4) → 4π → HMinimal Composite Higgs Model

Agashe, Contino, Pomarol ’04

SO(6)/SO(5) → 5π → H,aSU(4)/Sp(4,C) → 5π → H, s

Next MCHMGripaios, Pomarol, Riva, Serra ’09

Chacko, Batra ’08

SO(6)/SO(4)xSO(2) → 8π → H1 + H2

Minimal Composite Two Higgs DoubletsMrazek, Pomarol, Rattazzi, Serra, Wulzer ’11


Minimal composite Higgs model

Agashe, Contino, Pomarol ’04

SO(5)→ SO(4) ∼ SU(2)L × SU(2)R

GB transform as a 4 of SO(4), (2,2) of SU(2)L × SU(2)R

Higgs potential from SO(5) breaking effectsgauge interactionsYukawa interactions

→ naturalness requirestop partners . 1 TeVsee also 1410.8555and talk by A.CarmonaLHC searches - talk by T.Flacke


Signatures of composite Higgs

Higgs physics

Montull, Riva, Salvioni, TorreCarena, Da Rold, Ponton

spin-1/2 resonances

Gripaios, Muller, Parkera, SutherlandMatsedonskyi, Riva, Vantalon

De Simone, Matsedonskyi, Rattazzi, Wulzer

spin-1 resonances

Contino, Pappadopulo, Marzocca, RattazziPanico, Wulzer

De Curtis, Redi, TesiPappadopulo, Thamm, Torre, Wulzer

electroweak precision data (S,T)

Ciuchini, Franco, Mishima, SilvestriniBarbieri, Tesi

flavor

Csaki, Falkowski, WeilerRedi, Weiler

Straub


Effective description of spin-1 resonancesglobal symmetry breaking G → H

Spin-1 resonancesin a representation of the unbroken global symmetry ofstrong dynamics’hidden local symmetry’

→ modify the symmetry breaking pattern

G ×Hlocal → H

ρµ gauge bosons of Hlocal → ’vector’ resonances

3 free parameters

mρ, gρ, ξ =v2

EWf 2

gρ - gauge coupling of Hlocal



Spin-1 resonancesin a representation of the unbroken global symmetry ofstrong dynamics

’hidden local symmetry’→ modify the symmetry breaking pattern

G ×Hlocal → H


3 free parameters

mρ, gρ, ξ =v2

EWf 2




Spin-1 resonancesin a representation of the unbroken global symmetry ofstrong dynamics’hidden local symmetry’

→ modify the symmetry breaking pattern

G ×Hlocal → H


3 free parameters

mρ, gρ, ξ =v2

EWf 2



Production and decays of ρL

production dominated by Drell-Yan qq → ρ

! " 0.1, g# " 8

s " 13 TeV

s " 8 TeV

1.0 1.2 1.4 1.6 1.8 2.0 2.2m#!TeV"5$ 10%4

0.001

0.0050.010

0.0500.100

&!pb"! " 0.05, g# " 8

s " 13 TeV

s " 8 TeV

1.0 1.2 1.4 1.6 1.8 2.0 2.2m#!TeV"5$ 10%4

0.001

0.0050.010

0.0500.100

&!pb"

decays mainly to hZ and WW, but ff non-negligible

! " 0.1, g# " 8hZ

W$W%

q ql l

1.0 1.2 1.4 1.6 1.8 2.0 2.2m#!TeV"0.0

0.1

0.2

0.3

0.4

0.5

0.6

BR #LO

! " 0.05, g# " 8

hZ

W$W%

q q

l l

1.0 1.2 1.4 1.6 1.8 2.0 2.2m#!TeV"0.0

0.1

0.2

0.3

0.4

0.5

0.6

BR #LO


Direct searches

Γ(ρ0 → W +W−

)≈ Γ

(ρ0 → Zh

)≈

m5ρξ

2

192πg2ρv4

.

Γ(ρ0 → e+e−

)≈ Γ

(ρ0 → µ+µ−

)≈

g4mρ(

1 +√

1− ξ)2

96 4πg2ρ

Γ(ρ0 → qi qi

)≈

g4mρ(

1 +√

1− ξ)2

32 4πg2ρ

present strongest exclusions - CMS search for ll resonances

dilepton, !=0.05

dilepton, !=0.1

diboson, !=0.1

8 TeV, 20.6 fb"1

4 5 6 7 8 9 10g#1000

1200

1400

1600

1800

2000

2200m#LIMIT!GeV"

dilepton, !=0.05

14 TeV, 3000 fb"1

4 5 6 7 8 9 10g#3000

3200

3400

3600

3800

4000

4200m#LIMIT!GeV"


Searching for ρ → Vh

M.Hoffmann, AK, R.Nikolaidou, S.Paganis

h→ γγ, h→ ZZ (∗) → 4`, where ` = e, µ, (h→ bb), V → jj

(GeV)p0 200 400 600 800 1000 1200 1400 1600

Arb

itra

ry U

nits

310

210

110

1ggF VBF

= 2 TeVρm = 2.2 TeVρm

γγR∆

0 1 2 3 4 5 6A

rbitra

ry U

nits

310

210

110

1ggF VBF

= 2 TeVρm = 2.2 TeVρm

suppress the SM Higgs background by p⊥ ≥ 550 GeV cut→ probing mρ ∼ 3 TeV in the next LHC run



here assumed mρ = gρf = gρvEW/√ξ

gΡ = 4 ΠgΡ = 4

gΡ = 2

gΡ = 1

3000 fb-11000 fb-1300 fb-1

1 2 3 4 5 6

0.10

1.00

0.50

0.20

0.30

0.15

0.70

mΡHTeVL

Ξ

M.Hoffmann, AK, R.Nikolaidou, S.Paganis

Contino, Grojean, Pappadopulo, Rattazzi,Thamm



here assumed mρ = gρf = gρvEW/√ξ

gΡ = 4 ΠgΡ = 4

gΡ = 2

gΡ = 1

3000 fb-11000 fb-1300 fb-1

1 2 3 4 5 6

0.10

1.00

0.50

0.20

0.30

0.15

0.70

mΡHTeVL

Ξ

M.Hoffmann, AK, R.Nikolaidou, S.Paganis Contino, Grojean, Pappadopulo, Rattazzi,Thamm


Impact of composite fermions

spin-1 resonances may couple directly to fermion resonances

−iψgργµT aρaµψ

partial compositeness→ mass mixing with SM fermions

→modified BR of spin-1 resonances

3 gen. resonances only,mT & 2 TeV (left) and mT ∼ 0.8 TeV (right)

W!W"

q q

l l

hZ

# $ 0.1, g% $ 8, sin&L $ 0.2

1.0 1.2 1.4 1.6 1.8 2.0 2.2m%!TeV"0.0

0.2

0.4

0.6

0.8

1.0BR %LO

! " 0.1, g# " 8, sin$L " 0.2

q q

t %t %t %t

1.0 1.2 1.4 1.6 1.8 2.0 2.2m#!TeV"0.0

0.2

0.4

0.6

0.8

1.0BR #LO



spin-1 resonances may couple directly to fermion resonances

−iψgργµT aρaµψ

partial compositeness→ mass mixing with SM fermions→modified BR of spin-1 resonances

3 gen. resonances only,mT & 2 TeV (left) and mT ∼ 0.8 TeV (right)

W!W"

q q

l l

hZ

# $ 0.1, g% $ 8, sin&L $ 0.2

1.0 1.2 1.4 1.6 1.8 2.0 2.2m%!TeV"0.0

0.2

0.4

0.6

0.8

1.0BR %LO

! " 0.1, g# " 8, sin$L " 0.2

q q

t %t %t %t

1.0 1.2 1.4 1.6 1.8 2.0 2.2m#!TeV"0.0

0.2

0.4

0.6

0.8

1.0BR #LO



! " 0.1,sin#L " 0.2, g$ " 4, ... 8

1.0 1.2 1.4 1.6 1.8 2.0 2.2m$!TeV"0.00

0.02

0.04

0.06

0.08

0.10

%$LO

m$! " 0.1 sin#L " 0.2

dilepton, mFR $ %

dilepton, mFR " 800 GeV

4 5 6 7 8 9 10g&1000

1200

1400

1600

1800

2000

2200m&LIMIT!GeV"

if we allow for significant partial compositeness of light quarks

s ! 8 TeV

" ! 0.1, sin#L ! 0.2,g$ ! 4, ... 10

1.0 1.2 1.4 1.6 1.8 2.0 2.2m$!TeV"0.001

0.01

0.1

1%!pb"

! " 0.1, sin#L " 0.2

dilepton

dijet

4 5 6 7 8 9 10g$1000

1200

1400

1600

1800

2000

2200m$LIMIT!GeV"


SUSY

naturalness strained by non-observation of supersymmetricpartners at the LHC

idea: use a gaugino ”focus” point in RGE runningAK, G.G.Ross, K.Schmidt-Hoberg, F.Staub

m2hu

(Q) = zm0hu

(Q)m20 + z

m1/2hu

(Q)m21/2 + zA0

hu(Q)A2

0 + 2zm1/2A0hu

(Q)m1/2A0

m2hd

(Q) = zm0hd

(Q)m20 + z

m1/2hd

(Q)m21/2 + zA0

hd(Q)A2

0 + 2zm1/2A0hd

(Q)m1/2A0

electroweak scale in the MSSM

λ(0)v2 = −tan2 β

tan2 β − 1m2

hu+

1tan2 β − 1

m2hd− |µ|2

gaugino focus point

0 =tan2 β

tan2 β − 1z

m1/2hu

(QFP)−1

tan2 β − 1z

m1/2hd

(QFP)


Gaugino focus point - MSSM

M1 = a ·m1/2,M2 = b ·m1/2 and M3 = m1/2

!

!

!

"

"

"

"

"

"

""

#

#

#

#

#

#

##

# ##

#

# ##

#

#

$

$

$

$

$$%

%

%%

0.1

0.1

0.4

0.4

1.5

1.5

10

10

100

100010000

!20 !10 0 10 20!6

!4

!2

0

2

4

6

a

b 10000 1000

100

10 1.5

0.4

0.1

!20 !10 0 10 20!6

!4

!2

0

2

4

6

a

b


Gaugino focus point - GNMSSM

W =WYukawa +13κS3 + (µ+ λS)HuHd + ξS +

12µsS2


Conclusion

It is not yet time to give up on naturalness!


Naturalness vs. the LHC · Naturalness vs. the LHC ... strong interactions (technicolor, ex. dim.)...

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Transcript of Naturalness vs. the LHC · Naturalness vs. the LHC ... strong interactions (technicolor, ex. dim.)...