1. 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

2. 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 2015 2

3. Still large uncertainties in couplings… Aug 7, 2015Nausheen R. Shah -- DPF 2015 CMS-PAS-HIG-14-009 ATLAS-CONF-2014-009 but approximately consistent with SM. 3

4. Projected Higgs Precision Aug 7, 2015Nausheen R. Shah -- DPF 2015 4

5. NATURAL ALIGNMENT IN THE Z3 NMSSM Aug 7, 2015Nausheen R. Shah -- DPF 2015 5

6. 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 2015 6

7. 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

8. 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

9. 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

10. 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

11. “Extended” Higgs Basis Tree-level mass matrix in the (H NSM, H SM, S) basis: Aug 7, 2015Nausheen R. Shah -- DPF 2015 8 Alignment: Mixing between HNSM-SM=0 & SM-S =0 Alignment conditions, (+ stop corrections to always obtain h125): NSM-SM mixing cancels for

12. 125 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 Aug 7, 2015Nausheen R. Shah -- DPF 2015 9 M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15 (preliminary) Alignment (No-Mixing):

13. 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 2015 10 M. Carena, I. Low, N.R.S, C. Wagner, ‘13 M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15 (preliminary)

14. Aug 7, 2015Nausheen R. Shah -- DPF 2015 11 Singlet Alignment h125 ~ H SM LIGHT SPECTRUM Singlino: 2 κ μ/λ ~ < μ CP-even/odd singlet masses anti-correlated

15. Misalignment NMSSMTools + HiggsBounds/Signals Allowed “misalignment” Aug 7, 2015Nausheen R. Shah -- DPF 2015 12. tan β =2. tan β =2.5. tan β =3 __ M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15 (preliminary)

16. Singlet Spectra Density of scan not relevant Aug 7, 2015Nausheen R. Shah -- DPF 2015 13. 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

17. MSSM-like A and H decays into tt Decay BR depends on tan β Aug 7, 2015Nausheen R. Shah -- DPF 2015 14. 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

18. MSSM-like H BR Apart from tt, significant decays into H2+H1 and neutralino/charginos Aug 7, 2015Nausheen R. Shah -- DPF 2015 15 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

19. MSSM-like A BR Into singlet-like H1/H2-Z and inos Aug 7, 2015Nausheen R. Shah -- DPF 2015 16 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

20. Singlet-like H S BR Singlet mainly decays to bb and WW Aug 7, 2015Nausheen R. Shah -- DPF 2015 17 M. Carena, H. Haber, I. Low, N.R.S., C. Wagner, ’15 (preliminary) h125

21. Now & Future Aug 7, 2015Nausheen R. Shah -- DPF 2015 18 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

22. Now & Future Aug 7, 2015Nausheen R. Shah -- DPF 2015 19 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

23. 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 2015 20

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

25. ALIGNMENT SM-Like Higgs in 2HDM Aug 7, 2015Nausheen R. Shah -- DPF 2015 25 CP-Even: H 1, H 2 CP-Odd: A Charged Higgs: H +-

26. 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 2015 26 If sin α = - cos β or equivalently cos (β-α) = 0 SM-like HIGGS!! ALIGNMENT

27. 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

28. Heavy H to VV ? CMS 1505.03831 June 3, 2015Nausheen R. Shah -- FNAL LPC 28

29. 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 < 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

30. 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 2015 30

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

32. Aug 7, 2015Nausheen R. Shah -- DPF 2015 32

33. Aug 7, 2015Nausheen R. Shah -- DPF 2015 33

34. Aug 7, 2015Nausheen R. Shah -- DPF 2015 34 M. Carena, I. Low, N.R.S, C. Wagner, ‘13

35. CP-Odd Mass Matrix In the (“MSSM m A ”, Singlet) basis: Aug 7, 2015Nausheen R. Shah -- DPF 2015 35

36. Misalignment Aug 7, 2015Nausheen R. Shah -- DPF 2015 36. tan β =2. tan β =2.5. tan β =3 __

37. Fine-Tuning (No-mixing in stops) Larger tan β => Heavier Stops => Larger Fine Tuning Aug 7, 2015Nausheen R. Shah -- DPF 2015 37

38. Higgs Spectra CP-even vs. Odd Aug 7, 2015Nausheen R. Shah -- DPF 2015 38

39. H3 BR H1 H1 /H2 H2 Aug 7, 2015Nausheen R. Shah -- DPF 2015 39

40. BR H3 tt + a Z Aug 7, 2015Nausheen R. Shah -- DPF 2015 40

41. A2 BR A1 H1 / A1 H2 Aug 7, 2015Nausheen R. Shah -- DPF 2015 41

42. A2 BR tt + chargino/neutralinos Aug 7, 2015Nausheen R. Shah -- DPF 2015 42

43. RGE Aug 7, 2015Nausheen R. Shah -- DPF 2015 43

44. 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 2015 44