Sven Heinemeyer GK Seminar, University of Freiburg,

Transcription

1 Sven Heinemeyer GK Seminar, University of Freiburg,

2 SUSY and its Higgs Bosons at the LHC Sven Heinemeyer, IFT/IFCA (CSIC, Madrid/Santander) Freiburg, 02/2017 Motivation SUSY after LHC Run I/II SUSY Higgs mass and rate measurements MSSM Higgs results (CMSSM, NUHM1/2, pmssm8) Conclusions Sven Heinemeyer GK Seminar, University of Freiburg,

3 1. Motivation Fact: The SM cannot be the ultimate theory! 1. gravity is not included 2. the hierarchy problem 3. Dark Matter is not included 4. neutrino masses are not included 5. anomalous magnetic moment of the muon shows a 4σ discrepancy Time to get ready for BSM physics Sven Heinemeyer GK Seminar, University of Freiburg,

4 Which model should we focus on? Some recent measurements: top quark mass Higgs boson mass Higgs boson couplings Dark Matter (properties) Sven Heinemeyer GK Seminar, University of Freiburg,

5 Which model should we focus on? Some recent measurements: top quark mass Higgs boson mass Higgs boson couplings Dark Matter (properties) Simple SUSY models predicted correctly: top quark mass Higgs boson mass Higgs boson couplings Dark Matter (properties) Sven Heinemeyer GK Seminar, University of Freiburg,

6 Which model should we focus on? Some recent measurements: top quark mass Higgs boson mass Higgs boson couplings Dark Matter (properties) Simple SUSY models predicted correctly: top quark mass Higgs boson mass Higgs boson couplings Dark Matter (properties) good motivation to look at SUSY! :-) Sven Heinemeyer GK Seminar, University of Freiburg,

7 The Minimal Supersymmetric Standard Model (MSSM) Superpartners for Standard Model particles Problem in the MSSM: more than 100 free parameters Nobody(?) believes that a model describing nature has so many free parameters! Sven Heinemeyer GK Seminar, University of Freiburg,

8 GUT based models: 1.) CMSSM (sometimes wrongly called msugra): Scenario characterized by m 0, m 1/2, A 0, tanβ, signµ m 0 : universal scalar mass parameter m 1/2 : universal gaugino mass parameter A 0 : universal trilinear coupling at the GUT scale tanβ : ratio of Higgs vacuum expectation values sign(µ) : sign of supersymmetric Higgs parameter particle spectra from renormalization group running to weak scale Lightest SUSY particle (LSP) is the lightest neutralino DM! Sven Heinemeyer GK Seminar, University of Freiburg,

9 GUT based models: 1.) CMSSM (sometimes wrongly called msugra): particle spectra from renormalization group running to weak scale ~ l q ~ ~ g H H W ~ B ~ one parameter turns negative Higgs mechanism for free Sven Heinemeyer GK Seminar, University of Freiburg,

10 Typical CMSSM scenario (SPS 1a benchmark scenario): 800 m [GeV] 700 Strong connection between all the sectors 600 g t ũ L, d R ũ R, d L b2 b1 400 H 0, A 0 H ± χ 0 χ χ ± 2 t ll ν l τ 2 χ 0 2 χ ± h 0 lr τ 1 χ Sven Heinemeyer GK Seminar, University of Freiburg,

11 GUT based models: 2.) NUHM1: (Non-universal Higgs mass model) Assumption: no unification of scalar fermion and scalar Higgs parameter at the GUT scale effectively M A as free parameters at the EW scale Scenario characterized by m 0, m 1/2, A 0, tanβ, signµ and M A GUT based models: 3.) NUHM2: (Non-universal Higgs mass model 2) Assumption: no unification of scalar Higgs parameter at the GUT scale effectively M A and µ as free parameters at the EW scale Scenario characterized by m 0, m 1/2, A 0, tanβ, µ and M A Sven Heinemeyer GK Seminar, University of Freiburg,

12 Problem: We cannot be sure about the SUSY-breaking mechanism it is possible that with the CMSSM, NUHM1, NUHM2,...we missed the correct mechanism hint: strong connection between colored and uncolored sector tension between low-energy EW effects and (colored) LHC searches Sven Heinemeyer GK Seminar, University of Freiburg,

13 Problem: We cannot be sure about the SUSY-breaking mechanism it is possible that with the CMSSM, NUHM1, NUHM2,...we missed the correct mechanism hint: strong connection between colored and uncolored sector tension between low-energy EW effects and (colored) LHC searches Solution: investigate also the general MSSM 8 parameters are manageable pmssm8 3rd gen. squark mass parameters: m q3 slepton mass parameter: m l 3, m l 1,2 gaugino masses: M 2 trilinear coupling: A t Higgs sector parameters: M A, tanβ Higgs mixing paramter: µ Note: other 8 parameter selections possible Sven Heinemeyer GK Seminar, University of Freiburg,

14 Problem: We cannot be sure about the SUSY-breaking mechanism it is possible that with the CMSSM, NUHM1, NUHM2,...we missed the correct mechanism hint: strong connection between colored and uncolored sector tension between low-energy EW effects and (colored) LHC searches Solution: investigate also the general MSSM 10 parameters are manageable pmssm10 squark mass parameters: m q12, m q3 slepton mass parameter: m l gaugino masses: M 1, M 2, M 3 trilinear coupling: A Higgs sector parameters: M A, tanβ Higgs mixing paramter: µ Note: other 10 parameter selections possible Sven Heinemeyer GK Seminar, University of Freiburg,

15 Data we have: Higgs boson mass (LHC) Sven Heinemeyer GK Seminar, University of Freiburg,

16 Data we have: Higgs boson mass (LHC) Higgs boson signal strengths (LHC) HiggsSignals Sven Heinemeyer GK Seminar, University of Freiburg,

17 Data we have: Higgs boson mass (LHC) Higgs boson signal strengths (LHC) HiggsSignals Higgs boson exclusion bounds (LHC, Tevatron, LEP) HiggsBounds Sven Heinemeyer GK Seminar, University of Freiburg,

18 Data we have: Higgs boson mass (LHC) Higgs boson signal strengths (LHC) HiggsSignals Higgs boson exclusion bounds (LHC, Tevatron, LEP) HiggsBounds SUSY searches (LHC) Sven Heinemeyer GK Seminar, University of Freiburg,

19 Data we have: Higgs boson mass (LHC) Higgs boson signal strengths (LHC) HiggsSignals Higgs boson exclusion bounds (LHC, Tevatron, LEP) HiggsBounds SUSY searches (LHC) electroweak precision data flavor data astrophysical data Sven Heinemeyer GK Seminar, University of Freiburg,

20 2. SUSY after LHC Run I/II: MasterCode collaborative effort of theorists and experimentalists [Bagnaschi, Borsato, Buchmüller, Cavanaugh, Chobanova, Citron, Costa, De Roeck, Dolan, Ellis, Flächer, SH, Isidori, Lucio, Mallik, Marouche, Martinez Santos, Olive, Richards, Sakurai, Weiglein] (so far) one model: (MFV) MSSM tools included: our own LHC SUSY search (Run I/II) implementation NEW (3 search categories: colored, electroweak, compressed stop) Higgs related observables, (g 2) µ [FeynHiggs] Higgs signal strengths [HiggsSignals] NEW Higgs exclusion bounds [HiggsBounds] NEW B-physics observables [SuFla] more B-physics observables [SuperIso] Electroweak precision observables [FeynWZ] Dark Matter observables [MicrOMEGAs, SSARD] for GUT scale models: RGE running [SoftSusy] all most-up-to-date codes on the market! crucial for precision! Sven Heinemeyer GK Seminar, University of Freiburg,

21 The χ 2 evaluation: Sven Heinemeyer GK Seminar, University of Freiburg,

22 Results in GUT based models m 0 -m 1/2 plane including 1/fb of LHC data: CMSSM NUHM1 [2011] ] ] [GeV/c m 1/ [GeV/c m 1/ m 0 2 [GeV/c ] m 0 2 [GeV/c ] dotted: pre-lhc/xenon, solid: post-lhc (1 fb 1 )/Xenon new best-fit point within old 95% CL area hardly any overlap between old and new 68% CL areas shift to higher masses Sven Heinemeyer GK Seminar, University of Freiburg,

23 m 0 -m 1/2 plane including Higgs measurement : CMSSM NUHM1 [2011] m 1/2 [GeV] m 1/2 [GeV] m 0 [GeV] m 0 [GeV] dotted: pre-higgs, solid: post-higgs shift to even higher masses even larger allowed ranges... Sven Heinemeyer GK Seminar, University of Freiburg,

24 m 0 -m 1/2 plane including LHC 20/fb: CMSSM NUHM1 [2013] dotted: LHC 5/fb 7 TeV, solid: LHC 20/fb 8 TeV shift to even higher masses even larger allowed ranges... Sven Heinemeyer GK Seminar, University of Freiburg,

25 LSP mass incl. 20/fb of LHC data [2014] only very large values are favored Sven Heinemeyer GK Seminar, University of Freiburg,

26 LHC prospects for CMSSM: [2015] solid: current LHC limits, dashed: HL-LHC prospects best-fit point, but not much more can be covered! (in EW searches) Sven Heinemeyer GK Seminar, University of Freiburg,

27 LHC prospects for CMSSM: [2015] solid: current LHC limits, dashed: HL-LHC prospects best-fit regions can partially be covered! (in colored searches) Sven Heinemeyer GK Seminar, University of Freiburg,

28 What is happening to the χ 2? Low energy data (mostly (g 2) µ ) favors low SUSY mass scales LHC data favors higher SUSY scales M h measurement moves the fit to even higher scales tension, reflected in rising χ 2 : (note: HiggsSignals not included!) Model Min. χ 2 Prob. m 1/2 m 0 A 0 tanβ (GeV) (GeV) (GeV) CMSSM 21.5/20 37% LHC 1fb 1 M h 30.6/23 13% LHC 20fb 1 M h 32.8/24 11% NUHM1 20.8/18 29% LHC 1fb 1 M h 29.7/22 13% LHC 20fb 1 M h 31.1/23 12% Sven Heinemeyer GK Seminar, University of Freiburg,

29 Model Min. χ 2 Prob. m 1/2 m 0 A 0 tanβ (GeV) (GeV) (GeV) CMSSM 21.5/20 37% LHC 1fb 1 M h 30.6/23 13% LHC 20fb 1 M h 32.8/24 11% NUHM1 20.8/18 29% LHC 1fb 1 M h 29.7/22 13% LHC 20fb 1 M h 31.1/23 12% Sven Heinemeyer GK Seminar, University of Freiburg,

30 Model Min. χ 2 Prob. m 1/2 m 0 A 0 tanβ (GeV) (GeV) (GeV) CMSSM 21.5/20 37% LHC 1fb 1 M h 30.6/23 13% LHC 20fb 1 M h 32.8/24 11% NUHM1 20.8/18 29% LHC 1fb 1 M h 29.7/22 13% LHC 20fb 1 M h 31.1/23 12% Probabilities still so so, but this might change with LHC run II data. Not finding SUSY now does not make SUSY prospects look bad, makes some very constrained models look bad! Sven Heinemeyer GK Seminar, University of Freiburg,

31 Model Min. χ 2 Prob. m 1/2 m 0 A 0 tanβ (GeV) (GeV) (GeV) CMSSM 21.5/20 37% LHC 1fb 1 M h 30.6/23 13% LHC 20fb 1 M h 32.8/24 11% NUHM1 20.8/18 29% LHC 1fb 1 M h 29.7/22 13% LHC 20fb 1 M h 31.1/23 12% Probabilities still so so, but this might change with LHC run II data. Not finding SUSY now does not make SUSY prospects look bad, makes some very constrained models look bad! An MSSM Higgs at 125 GeV makes CMSSM/NUHM1 less likely Sven Heinemeyer GK Seminar, University of Freiburg,

32 Model Min. χ 2 Prob. m 1/2 m 0 A 0 tanβ (GeV) (GeV) (GeV) CMSSM 21.5/20 37% LHC 1fb 1 M h 30.6/23 13% LHC 20fb 1 M h 32.8/24 11% NUHM1 20.8/18 29% LHC 1fb 1 M h 29.7/22 13% LHC 20fb 1 M h 31.1/23 12% Probabilities still so so, but this might change with LHC run II data. Not finding SUSY now does not make SUSY prospects look bad, makes some very constrained models look bad! An MSSM Higgs at 125 GeV makes CMSSM/NUHM1 less likely And requires SUSY realizations that are in agreement with higher colored mass scales (LHC limits) lower uncolored mass scales (EWPO; (g 2) µ ) check pmssm10! Sven Heinemeyer GK Seminar, University of Freiburg,

33 Results in the pmssm10 Parameter Range Number of segments M 1 (-1, 1 ) TeV 2 M 2 ( 0, 4 ) TeV 2 M 3 (-4, 4 ) TeV 4 m q ( 0, 4 ) TeV 2 m q3 ( 0, 4 ) TeV 2 m l ( 0, 2 ) TeV 1 M A ( 0, 4 ) TeV 2 A (-5, 5 ) TeV 1 µ (-5, 5 ) TeV 1 tanβ ( 1, 60) 1 Total number of boxes 128 Sven Heinemeyer GK Seminar, University of Freiburg,

34 pmssm10 prediction: DM mass vs. light stop mass: [2015] Sven Heinemeyer GK Seminar, University of Freiburg,

35 pmssm10 prediction: DM mass vs. light stop mass: [2015] Sven Heinemeyer GK Seminar, University of Freiburg,

36 pmssm10 prediction: DM mass vs. light stop mass: [2015] chargino co-annihilation M 1 M 2 Sven Heinemeyer GK Seminar, University of Freiburg,

37 pmssm10 prediction: best-fit masses [2015] Particle Masses [GeV] M h 0 M H 0 M A 0 M H ± m χ 0 1 m χ 0 2 m χ 0 3 m χ 0 4 m χ ± 1 m χ ± 2 m l L m l R m τ1 m τ2 m ql m qr m t1 m t2 m b 1 m b 2 m g high colored masses relatively low electroweak masses partially with not too large ranges clear prediction for m χ 0 1 (DM) and EW spectrum Sven Heinemeyer GK Seminar, University of Freiburg,

38 pmssm10 prediction: DM mass [2015] pmssm10 NUHM2 NUHM1 CMSSM χ [GeV] pmssm10 predicts much lower DM mass than GUT-based models m χ 0 1 Sven Heinemeyer GK Seminar, University of Freiburg,

39 LHC prospects for pmssm10: [2015] solid: current LHC limits, dashed: HL-LHC prospects best-fit regions not covered! (in EW searches) Sven Heinemeyer GK Seminar, University of Freiburg,

40 LHC prospects for pmssm10: [2015] solid: current LHC limits, dashed: HL-LHC prospects best-fit regions can partially be covered! (in colored searches) Sven Heinemeyer GK Seminar, University of Freiburg,

41 pmssm10 prediction: m χ 0 1 vs. σ SI p : [2015] LHC bounds try to rescue DD experiments! Sven Heinemeyer GK Seminar, University of Freiburg,

42 pmssm10 prediction: m χ 0 1 vs. σ SI p : future expectations [2015] 68% CL areas covered by next round of DD experiments Sven Heinemeyer GK Seminar, University of Freiburg,

43 3. SUSY Higgs mass and rate measurements Sven Heinemeyer GK Seminar, University of Freiburg,

44 The Higgs mass accuracy: experiment vs. theory: Experiment: ATLAS: CMS: combined: M exp h M exp h M exp h = ±0.37±0.18 GeV = ±0.27±0.15 GeV = ±0.21±0.11 GeV Sven Heinemeyer GK Seminar, University of Freiburg,

45 The Higgs mass accuracy: experiment vs. theory: Experiment: ATLAS: CMS: combined: M exp h M exp h M exp h = ±0.37±0.18 GeV = ±0.27±0.15 GeV = ±0.21±0.11 GeV MSSM theory: LHCHXSWG adopted FeynHiggs for the prediction of MSSM Higgs boson masses and mixings (considered to be the code containing the most complete implementation of higher-order corrections) FeynHiggs: δm theo h 3 GeV rough estimate, FeynHiggs contains algorithm to evaluate uncertainty, depending on parameter point Sven Heinemeyer GK Seminar, University of Freiburg,

46 Working group on M h predictions: sites.google.com/site/kutsmh next meeting: 07/2017 in Karlsruhe Sven Heinemeyer GK Seminar, University of Freiburg,

47 Enlarged Higgs sector: Two Higgs doublets H 1 = H 2 = H1 1 H1 2 H1 2 H 2 2 = = v 1 +(φ 1 +iχ 1 )/ 2 φ 1 φ + 2 v 2 +(φ 2 +iχ 2 )/ 2 V = m 2 1 H 1 H 1 +m 2 2 H 2 H 2 m 2 12 (ǫ abh a 1 Hb 2 +h.c.) physical states: h 0,H 0,A 0,H ± Goldstone bosons: G 0,G ± + g 2 +g 2 (H 1 H 1 H 2 H 2 ) 2 + g2 H 1 H 2 2 }{{ 8 }}{{} 2 gauge couplings, in contrast to SM Input parameters: (to be determined experimentally) tanβ = v 2, MA 2 v = m2 12 (tanβ +cotβ) 1 Sven Heinemeyer GK Seminar, University of Freiburg,

48 t sector of the MSSM: Stop mass matrices M 2 t = M 2 t L +m 2 t +DT t 1 m t X t θ t m 2 t 1 0 m t X t M 2 t R +m 2 t +DT t 2 0 m 2 t 2 with X t = A t µ/tanβ mixing important in stop sector! Simplifying abbreviation: M SUSY := M t L = M t R Sven Heinemeyer GK Seminar, University of Freiburg,

49 Higgs boson mass scales from rate measuements? We have a 125 GeV SM-like Higgs boson What are the options? 1. Decoupling limit: M A M Z the light Higgs becomes SM-like 2. Alignment without decoupling: a CP-even Higgs becomes SM-like due to an accidental cancellation 3. Heavy Higgs SM-like: (see above!) is the case with the heavy CP-even Higgs being SM-like still a viable solution? Sven Heinemeyer GK Seminar, University of Freiburg,

50 Obtaining a light Higgs with SM-like couplings [J. Gunion, H. Haber, hep-ph/ ] CP conserving 2HDM in the Higgs basis ( H 1 = v/ 2, H 2 = 0) V = Z 1(H 1 H 1) [ 1 2 Z 5 (H 1 H 2) 2 +Z 6 (H 1 H 1)(H 1 H 2)+h.c. ] +... CP-even mass matrix: M 2 = Z 1v 2 Z 6 v 2 Z 6 v 2 M 2 A +Z 5v 2 with mixing angle cos(β α) c β α Decoupling limit: M 2 A Z iv 2 m 2 h Z 1v 2, c β α 1, h is SM-like Alignment limit: Z 6 = 0 and Z 1 < Z 5 +M 2 A /v2 h is identical to the SM Higgs, c β α = 0 Z 6 = 0 and Z 1 > Z 5 +M 2 A /v2 H is identical to the SM Higgs, c β α = 1 Sven Heinemeyer GK Seminar, University of Freiburg,

51 Alignment limit: see e.g. [M. Carena, I. Low, N. Shah, C. Wagner 13][M. Carena, H. Haber, I. Low, N. Shah, C. Wagner 14] In the MSSM Z 6 = 0 can be obtained through an accidental cancellation between tree-level and loop contribution, roughly at: tanβ [ M 2 h +M2 Z + 3m2 t µ2 4π 2 v 2 M 2 S ( A 2 t 2M 2 S 1)] / [ 3m 2 t 4π 2 v 2 µa t M 2 S ( A 2 t 6M 2 S 1 )] Compare: m mod+ h and m alt h : A t /M S = 2.45, A t = A f, M S = m f 1 TeV, m g = 1.5 TeV, M 2 = 2M 1 = 200 GeV, µ adjustable (low M A and tanβ: tune M S 1 TeV to obtain M h 122 GeV) Β Σ Μ SM-like Higgs for all M A Sven Heinemeyer GK Seminar, University of Freiburg,

52 Preferred m alt h parameter space from HiggsSignals: [P. Bechtle, S.H., O. Stål, T. Stefaniak, G. Weiglein 15] no Higgs mass scale restrictions from rates (in general) Sven Heinemeyer GK Seminar, University of Freiburg,

53 4. MSSM Higgs results (CMSSM, NUHM1/2, pmssm8) Sven Heinemeyer GK Seminar, University of Freiburg,

54 M A -tanβ plane in CMSSM, NUHM1, NUHM2: [2015] high mass scales, only in NUHM2 lighter Higgs bosons... Sven Heinemeyer GK Seminar, University of Freiburg,

55 M A - χ 2 in CMSSM, NUHM1, NUHM2: [2015] high mass scales, only in NUHM2 lighter Higgs bosons... Sven Heinemeyer GK Seminar, University of Freiburg,

56 Results in the pmssm8 [P. Bechtle, H. Haber, S.H., O. Stål, T. Stefaniak, G. Weiglein, L. Zeune 16] decoupling, M h = 125 GeV alignment without decoupling, M h = 125 GeV heavy Higgs case, M H = 125 GeV, h lighter Min Max M Q1,2 = M U1,2 = M D1,2 = 1.5 TeV M A 90 GeV 1000 GeV tan β 1 60 M Q3 200 GeV 5000 GeV A t 3M Q3 +3M Q3 µ 3M Q3 +3M Q3 M L3 M L1,2 M GeV 1000 GeV 200 GeV 1000 GeV 200 GeV 500 GeV M D3 = M U3 = M Q3 M L1,2 = M E1,2 A b = A τ = A t M 3 = 1.5 TeV M 1 fixed by GUT relation 10 7 random points R φ XX := Σ i[σ i (φ) BR(φ XX)] MSSM Σ i [σ i (φ) BR(φ XX)] SM Sven Heinemeyer GK Seminar, University of Freiburg,

57 Our tools: taken from [T. Stefaniak] Newly included: CheckMate to check SUSY exclusion limits naive χ 2 calculation (heavily relying on HiggsSignals) Sven Heinemeyer GK Seminar, University of Freiburg,

58 The best-fit points: Best-fit points parameters: SM and both MSSM cases provide similar fit to the Higgs data Including LEOs, SM fit becomes worse Sven Heinemeyer GK Seminar, University of Freiburg,

59 Best-fit point rates in the two Higgs cases: Sven Heinemeyer GK Seminar, University of Freiburg,

60 Light-Higgs case: preferred rates RVV h = , Rh γγ = , RVh bb = , Rh ττ = all very SM-like (no surprise...) but some (BSM) spread is allowed! Sven Heinemeyer GK Seminar, University of Freiburg,

61 Light-Higgs case: preferred parameters Favored points with M A > 500 GeV decoupling limit M A > 200 GeV alignment limit Alignment: tanβ 1/[ µat M 2 S ( A 2 t 6M 2 S 1 )] small(er) tanβ needed to avoid ττ limits µa t /MS 2 larger positive A t preferred (for µ > 0) Sven Heinemeyer GK Seminar, University of Freiburg,

62 Light-Higgs case: preferred parameters in the t sector all points M A 350 GeV light stops down to m t GeV possible (even lighter stops possible with M t L M t R ) Sven Heinemeyer GK Seminar, University of Freiburg,

63 The exotic solution: the discovery is interpreted as the heavy CP-even Higgs In principle also possilbe: M h < 125 GeV M H 125 GeV Consequences: all Higgs bosons very light easy(?) discovery of additional Higgs bosons at the LHC Constraints: direct searches for the lightest CP-even Higgs direct searches for the heavy neutral Higgses direct searches for the charged Higgses flavor constraints (BR(B s µ + µ ) etc.) original scenario: low-m H [M. Carena, S.H., O. Stål, C. Wagner, G. Weiglein 13] Sven Heinemeyer GK Seminar, University of Freiburg,

64 ATLAS results for charged Higgs searches: [ATLAS 15] tan β Median expected exclusion Observed exclusion 95% CL Observed +1σ theory ATLAS Observed -1σ theory Ldt = 19.5 fb s=8 TeV Data 2012 max MSSM m h scenario m H + [GeV] exclusion of light M H ± in the m max h scenario!...low-m H? Sven Heinemeyer GK Seminar, University of Freiburg,

65 Application of charged Higgs limits on low-m H scenario: [HiggsBounds 4.1] that (particular incarnation of the) low-m H scenario is excluded! Sven Heinemeyer GK Seminar, University of Freiburg,

66 How to avoid BR(t H ± b) bounds: higher M H ±! tricky region below and beyond the top threshold! Sven Heinemeyer GK Seminar, University of Freiburg,

67 Heavy-Higgs case: preferred parameters M A GeV m t GeV R h VV = [0.95,1.13], Rh γγ = [0.81,0.94], R Vh bb = [0.94,1.03], R h ττ = [0.78,0.90] not fully SM-like... Sven Heinemeyer GK Seminar, University of Freiburg,

68 Where is the light Higgs? strongly reduced couplings to gauge bosons beyond LEP reach! M h > M H /2 (mostly) to avoid H hh (or BR(H hh) < 10%) visible in gg h γγ? Sven Heinemeyer GK Seminar, University of Freiburg,

69 New low-m H benchmark scenarios Based on our best-fit region: low-m alt H : fixed M H ± < m t low-mh alt+ : fixed M H ± > m t low-m altv H : varied M H ± (µ fixed) Sven Heinemeyer GK Seminar, University of Freiburg,

70 low-m alt H (155 GeV = M H ± < m t ): green area in agreement with all data! Sven Heinemeyer GK Seminar, University of Freiburg,

71 low-m alt+ H (180 GeV = M H ± > m t ): green area in agreement with all data! M H M h 125 GeV possible! Sven Heinemeyer GK Seminar, University of Freiburg,

72 low-m altv H (140 GeV M H ± 220 GeV): green area in agreement with all data! Sven Heinemeyer GK Seminar, University of Freiburg,

73 low-m altv H (140 GeV M H ± 220 GeV): green area in agreement with all data! Go and exclude it! Sven Heinemeyer GK Seminar, University of Freiburg,

74 5. Conclusinos SUSY is (still) the best motivated BSM theory LHC SUSY searches put pressure on CMSSM, NUHM1, NUHM2,... tension between low-energy and LHC data! pmssm10 provides excellent fit to all data Higgs rate measurements can be fulfilled by the light CP-even Higgs in the decoupling regime the light CP-even Higgs in the alignment w/o decoupling regime the heavy CP-even Higgs with M h < 125 GeV MSSM results: CMSSM, NUHM1: relatively high Higgs mass scales favored NUHM2: somewhat lower values possible, but still high... pmssm8: light CP-even Higgs for all M A heavy CP-even Higgs new benchmark scenarios Sven Heinemeyer GK Seminar, University of Freiburg,

75 Sven Heinemeyer GK Seminar, University of Freiburg,

76 Sven Heinemeyer GK Seminar, University of Freiburg,

77 pmssm10 analysis: DD experiments: p- vs. n-scattering [2015] is evaluated for p-scattering σ SI p Can n-scattering come to rescue? Some points with low σ SI p have even lower σ SI n no no-lose theorem for DD experiments! Sven Heinemeyer GK Seminar, University of Freiburg,

78 e + e prospects for pmssm10: [2015] Particle Masses [GeV] M h 0 M H 0 M A 0 M H ± m χ 0 1 m χ 0 2 m χ 0 3 m χ 0 4 m χ ± 1 m χ ± 2 m l L m l R m τ1 m τ2 m ql m qr m t1 m t2 m b 1 m b 2 m g ILC: s = 1000 GeV precision analysis of EW particle and DM easy! CLIC: s = 3000 GeV precision analysis of EW particles and DM easy! Sven Heinemeyer GK Seminar, University of Freiburg,

79 DM production cross sections: e + e χ 0 1 χ0 1 (+γ) [2014] GUT based models: ILC :-(, pmssm10: easy at the ILC CLIC possible Sven Heinemeyer GK Seminar, University of Freiburg,

80 DM production cross sections: e + e χ 0 1 χ0 2 [2014] GUT based models: ILC :-(, CLIC possible pmssm10: easy at the ILC - but no real upper limit Sven Heinemeyer GK Seminar, University of Freiburg,

81 B-physics constraints? flavor constraints fulfilled! Sven Heinemeyer GK Seminar, University of Freiburg,

82 (Only?) possible search channel: h 1 γγ no sensitivity yet! Sven Heinemeyer GK Seminar, University of Freiburg,

83 Results in the NMSSM Sven Heinemeyer GK Seminar, University of Freiburg,

84 Some NMSSM Higgs theory (Z 3 invariant NMSSM) MSSM Higgs sector: Two Higgs doublets H 1 = H 2 = H1 1 H1 2 H1 2 H 2 2 = = v 1 +(φ 1 +iχ 1 )/ 2 φ 1 φ + 2 v 2 +(φ 2 +iχ 2 )/ 2 V = ( m µ 2 )H 1 H 1 +( m µ 2 )H 2 H 2 m 2 12 (ǫ abh a 1 Hb 2 +h.c.) + g 2 +g 2 8 (H 1 H 1 H 2 H 2 ) 2 + g2 2 H 1 H 2 2 Sven Heinemeyer GK Seminar, University of Freiburg,

85 Some NMSSM Higgs theory (Z 3 invariant NMSSM) NMSSM Higgs sector: Two Higgs doublets + one Higgs singlet H 1 = H 2 = H1 1 H1 2 H1 2 H 2 2 = = v 1 +(φ 1 +iχ 1 )/ 2 S = v s +S R +IS I φ 1 φ + 2 v 2 +(φ 2 +iχ 2 )/ 2 V = ( m µ/λs 2 )H 1 H 1 +( m µ/λs 2 )H 2 H 2 m 2 12 (ǫ abh a 1 Hb 2 +h.c.) + g 2 +g 2 (H 1 H 1 H 2 H 2 ) 2 + g2 8 2 H 1 H λ(ǫ ab H1 a Hb 2 )+κs2 2 +m 2 S S 2 +(λa λ (ǫ ab H1 a Hb 2 )S + κ 3 A κs 3 +h.c.) Free parameters: λ, κ, A κ, M H ±, tanβ, µ eff = λv s Sven Heinemeyer GK Seminar, University of Freiburg,

86 Higgs spectrum: CP even : h 1,h 2,h 3 CP odd : a 1,a 2 charged : H +,H Goldstones : G 0,G +,G Neutralinos: µ µ eff compared to the MSSM: one singlino more χ 0 1, χ0 2, χ0 3, χ0 4, χ0 5 Sven Heinemeyer GK Seminar, University of Freiburg,

87 Mass of the lightest CP-even Higgs: (no singlet mixing) Mass of the CP-odd Higgs: m 2 h,tree,nmssm = m2 h,tree,mssm +M2 Z g 2 sin2 2β MSSM : MA 2 = m2 12 (tanβ +cotβ) = µb(tanβ +cotβ) NMSSM : M 2 A = µ effb eff (tanβ +cotβ) with B eff = A λ +κv s, µ eff = λv s one very light a 1 λ 2 Mass of the charged Higgs: MSSM : MH 2 ± = MA 2 +M2 W = M2 A v2 g 2 NMSSM : M 2 H ± = M 2 A +v2 ( g 2 2 λ2 ) Sven Heinemeyer GK Seminar, University of Freiburg,

88 Mass of the lightest CP-even Higgs: (no singlet mixing) Mass of the CP-odd Higgs: m 2 h,tree,nmssm = m2 h,tree,mssm +M2 Z g 2 sin2 2β MSSM : MA 2 = m2 12 (tanβ +cotβ) = µb(tanβ +cotβ) NMSSM : M 2 A = µ effb eff (tanβ +cotβ) with B eff = A λ +κv s, µ eff = λv s one very light a 1 λ 2 Mass of the charged Higgs: MSSM : MH 2 ± = MA 2 +M2 W = M2 A v2 g 2 NMSSM : M 2 H ± = M 2 A +v2 ( g 2 2 λ2 ) M MSSM,tree h 1 M NMSSM,tree h, one light a 1 1, M MSSM,tree H ± M NMSSM,tree H ± Sven Heinemeyer GK Seminar, University of Freiburg,

89 Interesting case: light singlet Singlet does not couple to SM particles! Sven Heinemeyer GK Seminar, University of Freiburg,

90 Interesting case: light singlet Singlet does not couple to SM particles! Non-interacting particles are hard to detect. [F. Klinkhamer] Sven Heinemeyer GK Seminar, University of Freiburg,

91 Interesting case: light singlet Singlet does not couple to SM particles! Non-interacting particles are hard to detect. [F. Klinkhamer] Easily possible in the NMSSM: Light, singlet-like Higgs below 125 GeV Can the LHC find them? Sven Heinemeyer GK Seminar, University of Freiburg,

92 NMSSM parameter scan: [F. Domingo, G. Weiglein 15] Parameters: tanβ = 8, M A = 1 TeV, A κ = TeV, µ = GeV, 2M 1 = M 2 = 500 GeV, M 3 = 1.5 TeV, m Q 3 = 1 TeV, m Q 1,2 = 1.5 TeV, A t = 2 TeV, A b,τ = 1.5 TeV light Higgs below 125 GeV strongly reduced couplings to gauge bosons! Sven Heinemeyer GK Seminar, University of Freiburg,

93 NMSSM parameter scan: [F. Domingo, G. Weiglein 15] Parameters: tanβ = 8, M A = 1 TeV, A κ = TeV, µ = GeV, 2M 1 = M 2 = 500 GeV, M 3 = 1.5 TeV, m Q 3 = 1 TeV, m Q 1,2 = 1.5 TeV, A t = 2 TeV, A b,τ = 1.5 TeV light Higgs below 125 GeV has large singlet component second Higgs is SM-like Sven Heinemeyer GK Seminar, University of Freiburg,