H125 & Natural Alignment in the Z3 NMSSM Nausheen R. Shah University of Michigan Aug 7, 2015 In...

h125 & Natural Alignment

in the Z3 NMSSM

Nausheen R. Shah

University of Michigan

Aug 7, 2015

In Collaboration with:

M. Carena, H. Haber, I. Low & C. Wagner

arXiv:1508.xxxxx

Nausheen R. Shah -- DPF 2015

Higgs Discovery!

ATLAS + CMS: mh ~ 125 GeV

• What does the observed Higgs tell us about BSM physics?

• Implications for extended Higgs Sector?

• Higgs Couplings?

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Still large uncertainties in couplings…

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CMS-PAS-HIG-14-009ATLAS-CONF-2014-009

but approximately consistent with SM.

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Projected Higgs Precision

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NATURAL ALIGNMENT IN THE Z3 NMSSM

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Z3 NMSSM

• 2 Doublets (Hu, Hd) + Singlet (S)

• Singlet couples only to the Higgs Sector.

• Singlet acquires vev: μ = λ vs

• 3 CP-Even Higgses:

• Mixing between all three (Hu, Hd and S).

• 2 CP-Odd Higgses:

• Mixtures of “MSSM” mA and singlet.

• Charged Higgs

• Singlet-like CP-even and odd masses anti-correlated.• Singlino mass: 2 κ μ/λ

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Nausheen R. Shah -- FNAL LPC

• Interaction basis: (Hu, Hd, S)

• Hu: Couples only to up-type fermions

• Hd: Couples only to down-type fermions

• S: Only couples to Higgs

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<Hu> = vu

<Hd> = vd

tβ = vu/vd

<S> =μ/λ

CP-Even Higgs Bases






• “Extended” Higgs basis: (HNSM, HSM, S)

• HNSM: (down, up, V) = (yd tβ, yu/ tβ, 0)

• HSM: (down, up, V) = (yd, yu, ghVV)

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<Hu> = vu

<Hd> = vd

tβ = vu/vd

<S> =μ/λ

<HNSM> = 0<HSM> = v

CP-Even Higgs Bases









• Mass basis: (H3, H2, H1)

• Hi = κiNSM HNSM + κi

SM HSM + κiS S

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<Hu> = vu

<Hd> = vd

tβ = vu/vd

<S> =μ/λ

<HNSM> = 0<HSM> = v

CP-Even Higgs Bases









• Mass basis: (H3, H2, H1) (H, h125, hS)

• Hi = κiNSM HNSM + κi

SM HSM + κiS S

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<Hu> = vu

<Hd> = vd

tβ = vu/vd

<S> =μ/λ

<HNSM> = 0<HSM> = v

CP-Even Higgs Bases


“Extended” Higgs Basis

• Tree-level mass matrix in the (HNSM, HSM, S) basis:

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• Alignment: Mixing between HNSM-SM=0 & SM-S =0 • Alignment conditions, (+ stop corrections to always obtain h125):

NSM-SM mixing cancels for

Nausheen R. Shah -- DPF 2015125 GeV Higgs Naturally!

Well Known• 125 GeV Higgs• Tree-level contribution to

Higgs mass from λ.• λ ~ 0.65-0.7

• Low tan β• Light Stops

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M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15 (preliminary)

Alignment (No-Mixing):


SM-Like Higgs Naturally!

• Perturbative up to GUT scale.• λmax ~ 0.7, κmax ~ λ/2

Not so well known:• Leads to excellent Alignment

(very little mixing with Heavy Higgs) in the mA- tan β plane.

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M. Carena, I. Low, N.R.S, C. Wagner, ‘13

M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15(preliminary)

Nausheen R. Shah -- DPF 2015 Aug 7, 2015

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Singlet Alignment

h125 ~ HSM

LIGHT SPECTRUMSinglino: 2 κ μ/λ ~ < μ

CP-even/odd singlet massesanti-correlated


Misalignment

• NMSSMTools + HiggsBounds/Signals• Allowed “misalignment”

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. tan β =2

. tan β =2.5

. tan β =3

__



Singlet Spectra

Density of scan not relevant

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. tan β =2 . tan β =2.5 . tan β =3M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15

(preliminary)

singlet always less than mH/2


MSSM-like A and H decays into tt

• Decay BR depends on tan β

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. tan β =2 . tan β =2.5 . tan β =3


MSSM-like mH MSSM-like mA


MSSM-like H BR

• Apart from tt, significant decays into H2+H1 and neutralino/charginos

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Coupling to h125 pair suppressed

due to alignment.

. tan β =2 . tan β =2.5 . tan β =3


MSSM-like A BR

• Into singlet-like H1/H2-Z and inos

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h125 decay suppresseddue to alignment

. tan β =2

. tan β =2.5

. tan β =3


Singlet-like HS BR

• Singlet mainly decays to bb and WW

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h125 h125


Now & FutureAug 7, 2015

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XS factor ~ 4 at 14 TeV compared to 8 TeV M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15(preliminary)

CMS PAS HIG-15-001

CMS 1505.03831 HVV/SM ~10%8 TeV


Now & FutureAug 7, 2015

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XS factor ~ 4 at 14 TeV compared to 8 TeV M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15(preliminary)

CMS PAS HIG-15-001

CMS 1505.03831 HVV/SM ~10%8 TeV


Conclusions and Outlook

• Z3 NMSSM Higgs sector at low tan β.

• Naturally obtain 125 GeV Higgs (light stops).

• Leads to alignment with the non-SM like Higgs.

• Perturbativity and the requirement of alignment with the singlet

• naturally light singlets (both CP-even and odd) and singlino + higgsinos (charged and neutral).

• Due to large BR of non-SM Higgs into singlet like states + inos, very interesting LHC phenomenology.

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BACKUP SLIDES

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ALIGNMENTSM-Like Higgs in 2HDM

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CP-Even: H1, H2

CP-Odd: ACharged Higgs: H+-


Higgs Basis

• HSM has completely SM-like couplings.

• Mixing between HSM and HNSM ,“cos (β-α)”, gives non-SM behavior of observed h125.

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If sin α = - cos βor equivalentlycos (β-α) = 0

SM-like HIGGS!!

ALIGNMENT


Contamination allowed in h125 ??

• How much “non-standardness” is allowed by h125 measurements??

• κNSM HNSM + κSM HSM + κS S

• Singlet: Only couples to Higgs

• Ratios to SM:

• ghgg= (κSM + κNSM/tβ)

• ghdd = (κSM - κNSM tβ)

• ghVV = κSM

• Significant κS OK

• Large κNSM from sign change of ghdd

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h125


Heavy H to VV ?

• CMS 1505.03831

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Direct Searches for heavy resonances?

• Strong constraints on SM-like Higgs decay to VV ~12-6% SM value for masses 160-500 GeV.

• What does this imply for SM and NSM components of extra Higgs??• 160 GeV < mhS < 350 GeV

• BR(WW+ZZ) ~1• gF production XS impacted.

• With κh125NSM ~ 0

• κhSSM ~ κh125

S

• κh125S smaller than allowed by h125

measurements!

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~ κh125S


Higgsinos/Singlinos

• Interesting relationship between masses of Heavy Higgs and the higgsinos and singlinos.

• The Singlino mass is given by 2 κ vs which in terms of μ, (μ = λ vs) is 2 κ μ/λ

• Since κ ~ < λ/2, (perturbative upto GUT scale)• Singlino mass ~ < Higgsino mass• Can be much lighter.

• In our region of interest only first term dominant.

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Aug 7, 2015 Nausheen R. Shah -- DPF 2015 31


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M. Carena, I. Low, N.R.S, C. Wagner, ‘13


CP-Odd Mass Matrix

• In the (“MSSM mA”, Singlet) basis:

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MisalignmentAug 7, 2015

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. tan β =2 . tan β =2.5 . tan β =3

__


Fine-Tuning (No-mixing in stops)

• Larger tan β => Heavier Stops => Larger Fine Tuning

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Higgs Spectra

• CP-even vs. Odd

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H3 BR

• H1 H1 /H2 H2

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BR H3

• tt + a Z

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A2 BR

• A1 H1 / A1 H2

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A2 BR

• tt + chargino/neutralinos

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RGEAug 7, 2015

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Phenomenological Consequences

1. The gluon fusion production cross section of the would be heavy MSSM states (A and H) is enhanced due to the top Yukawa contributions at low tan β, and can be of the order of a few pb.

2. The non-standard Higgs bosons may have relevant decays into the lighter singlet like Higgs bosons as well as into the light electroweakinos.

3. The decay of non-standard Higgs bosons into taus and bottoms will be suppressed due to the small values of tan β and the presence of additional decays.

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H125 & Natural Alignment in the Z3 NMSSM Nausheen R. Shah University of Michigan Aug 7, 2015 In...

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