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

Higgs Discovery! ATLAS + CMS: m h ~ 125 GeV What does the observed Higgs tell us about BSM physics? Implications for extended Higgs Sector? Higgs Couplings? Aug 7, 2015Nausheen R. Shah -- DPF

Still large uncertainties in couplings… Aug 7, 2015Nausheen R. Shah -- DPF 2015 CMS-PAS-HIG ATLAS-CONF but approximately consistent with SM. 3

Projected Higgs Precision Aug 7, 2015Nausheen R. Shah -- DPF

NATURAL ALIGNMENT IN THE Z3 NMSSM Aug 7, 2015Nausheen R. Shah -- DPF

Z3 NMSSM 2 Doublets (H u, H d ) + Singlet (S) Singlet couples only to the Higgs Sector. Singlet acquires vev: μ = λ v s 3 CP-Even Higgses: Mixing between all three (H u, H d and S). 2 CP-Odd Higgses: Mixtures of “MSSM” m A and singlet. Charged Higgs Singlet-like CP-even and odd masses anti-correlated. Singlino mass: 2 κ μ/λ Aug 7, 2015Nausheen R. Shah -- DPF

Interaction basis: (H u, H d, S) H u : Couples only to up-type fermions H d : Couples only to down-type fermions S: Only couples to Higgs June 3, 2015Nausheen R. Shah -- FNAL LPC 7 = v u = v d t β = v u /v d =μ/λ CP-Even Higgs Bases

Interaction basis: (H u, H d, S) H u : Couples only to up-type fermions H d : Couples only to down-type fermions S: Only couples to Higgs “Extended” Higgs basis: (H NSM, H SM, S) H NSM : (down, up, V) = (y d t β, y u / t β, 0) H SM : (down, up, V) = (y d, y u, g hVV ) June 3, 2015Nausheen R. Shah -- FNAL LPC 7 = v u = v d t β = v u /v d =μ/λ = 0 = v CP-Even Higgs Bases

Interaction basis: (H u, H d, S) H u : Couples only to up-type fermions H d : Couples only to down-type fermions S: Only couples to Higgs “Extended” Higgs basis: (H NSM, H SM, S) H NSM : (down, up, V) = (y d t β, y u / t β, 0) H SM : (down, up, V) = (y d, y u, g hVV ) Mass basis: (H 3, H 2, H 1 ) H i = κ i NSM H NSM + κ i SM H SM + κ i S S June 3, 2015Nausheen R. Shah -- FNAL LPC 7 = v u = v d t β = v u /v d =μ/λ = 0 = v CP-Even Higgs Bases

Interaction basis: (H u, H d, S) H u : Couples only to up-type fermions H d : Couples only to down-type fermions S: Only couples to Higgs “Extended” Higgs basis: (H NSM, H SM, S) H NSM : (down, up, V) = (y d t β, y u / t β, 0) H SM : (down, up, V) = (y d, y u, g hVV ) Mass basis: (H 3, H 2, H 1 ) (H, h125, hS) H i = κ i NSM H NSM + κ i SM H SM + κ i S S June 3, 2015Nausheen R. Shah -- FNAL LPC 7 = v u = v d t β = v u /v d =μ/λ = 0 = v CP-Even Higgs Bases

“Extended” Higgs Basis Tree-level mass matrix in the (H NSM, H SM, S) basis: Aug 7, 2015Nausheen R. Shah -- DPF Alignment: Mixing between HNSM-SM=0 & SM-S =0 Alignment conditions, (+ stop corrections to always obtain h125): NSM-SM mixing cancels for

125 GeV Higgs Naturally! Well Known 125 GeV Higgs Tree-level contribution to Higgs mass from λ. λ ~ Low tan β Light Stops Aug 7, 2015Nausheen R. Shah -- DPF 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. λ max ~ 0.7, κ max ~ λ/2 Not so well known: Leads to excellent Alignment (very little mixing with Heavy Higgs) in the m A - tan β plane. Aug 7, 2015Nausheen R. Shah -- DPF M. Carena, I. Low, N.R.S, C. Wagner, ‘13 M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15 (preliminary)

Aug 7, 2015Nausheen R. Shah -- DPF Singlet Alignment h125 ~ H SM LIGHT SPECTRUM Singlino: 2 κ μ/λ ~ < μ CP-even/odd singlet masses anti-correlated

Misalignment NMSSMTools + HiggsBounds/Signals Allowed “misalignment” Aug 7, 2015Nausheen R. Shah -- DPF tan β =2. tan β =2.5. tan β =3 __ M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15 (preliminary)

Singlet Spectra Density of scan not relevant Aug 7, 2015Nausheen R. Shah -- DPF tan β =2. tan β =2.5. tan β =3 M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15 (preliminary) singlet always less than m H /2

MSSM-like A and H decays into tt Decay BR depends on tan β Aug 7, 2015Nausheen R. Shah -- DPF tan β =2. tan β =2.5. tan β =3 M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15 (preliminary) MSSM-like m H MSSM-like m A

MSSM-like H BR Apart from tt, significant decays into H2+H1 and neutralino/charginos Aug 7, 2015Nausheen R. Shah -- DPF M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15 (preliminary) 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 Aug 7, 2015Nausheen R. Shah -- DPF M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15 (preliminary) h125 decay suppressed due to alignment. tan β =2. tan β =2.5. tan β =3

Singlet-like H S BR Singlet mainly decays to bb and WW Aug 7, 2015Nausheen R. Shah -- DPF M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15 (preliminary) h125

Now & Future Aug 7, 2015Nausheen R. Shah -- DPF 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 CMS HVV/SM ~10% 8 TeV

Now & Future Aug 7, 2015Nausheen R. Shah -- DPF 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 CMS 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. Aug 7, 2015Nausheen R. Shah -- DPF

BACKUP SLIDES 24 Aug 7, 2015Nausheen R. Shah -- DPF 2015

ALIGNMENT SM-Like Higgs in 2HDM Aug 7, 2015Nausheen R. Shah -- DPF CP-Even: H 1, H 2 CP-Odd: A Charged Higgs: H +-

Higgs Basis H SM has completely SM-like couplings. Mixing between H SM and H NSM, “cos (β-α)”, gives non-SM behavior of observed h125. Aug 7, 2015Nausheen R. Shah -- DPF If sin α = - cos β or equivalently cos (β-α) = 0 SM-like HIGGS!! ALIGNMENT

Contamination allowed in h125 ?? How much “non-standardness” is allowed by h125 measurements?? κ NSM H NSM + κ SM H SM + κ S S Singlet: Only couples to Higgs Ratios to SM: g hgg = (κ SM + κ NSM /t β ) g hdd = (κ SM - κ NSM t β ) g hVV = κ SM Significant κ S OK Large κ NSM from sign change of g hdd June 3, 2015Nausheen R. Shah -- FNAL LPC 27 h125

Heavy H to VV ? CMS June 3, 2015Nausheen R. Shah -- FNAL LPC 28

Direct Searches for heavy resonances? Strong constraints on SM-like Higgs decay to VV ~12-6% SM value for masses GeV. What does this imply for SM and NSM components of extra Higgs?? 160 GeV < m hS < 350 GeV BR(WW+ZZ) ~1 gF production XS impacted. With κ h125 NSM ~ 0 κ hS SM ~ κ h125 S κ h125 S smaller than allowed by h125 measurements! June 3, 2015Nausheen R. Shah -- FNAL LPC 29 ~ κ h125 S

Higgsinos/Singlinos Interesting relationship between masses of Heavy Higgs and the higgsinos and singlinos. The Singlino mass is given by 2 κ v s which in terms of μ, (μ = λ v s ) 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. Aug 7, 2015Nausheen R. Shah -- DPF

Aug 7, 2015 Nausheen R. Shah -- DPF

Aug 7, 2015Nausheen R. Shah -- DPF

Aug 7, 2015Nausheen R. Shah -- DPF

Aug 7, 2015Nausheen R. Shah -- DPF M. Carena, I. Low, N.R.S, C. Wagner, ‘13

CP-Odd Mass Matrix In the (“MSSM m A ”, Singlet) basis: Aug 7, 2015Nausheen R. Shah -- DPF

Misalignment Aug 7, 2015Nausheen R. Shah -- DPF tan β =2. tan β =2.5. tan β =3 __

Fine-Tuning (No-mixing in stops) Larger tan β => Heavier Stops => Larger Fine Tuning Aug 7, 2015Nausheen R. Shah -- DPF

Higgs Spectra CP-even vs. Odd Aug 7, 2015Nausheen R. Shah -- DPF

H3 BR H1 H1 /H2 H2 Aug 7, 2015Nausheen R. Shah -- DPF

BR H3 tt + a Z Aug 7, 2015Nausheen R. Shah -- DPF

A2 BR A1 H1 / A1 H2 Aug 7, 2015Nausheen R. Shah -- DPF

A2 BR tt + chargino/neutralinos Aug 7, 2015Nausheen R. Shah -- DPF

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

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