HiggsSignals. Testing BSM physics with LHC Higgs precision data. Tim Stefaniak. Deutsches Elektronen-Synchrotron DESY, Hamburg

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1 HiggsSignals Testing BSM physics with LHC Higgs precision data Tim Stefaniak Deutsches Elektronen-Synchrotron DESY, Hamburg in collaboration with P. Bechtle, D. Dercks, S. Heinemeyer, T. Klingl, G. Weiglein Higgs Couplings 207, Heidelberg November 8th, Tim Stefaniak (DESY) HiggsSignals Higgs Couplings 207 / 8

2 A common question... BSM theorist: Is my model consistent with the Higgs data? Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

3 A common question... BSM theorist: Is my model consistent with the Higgs data? To-Do List: Calculate masses, total decay widths, cross sections and decay rates for all neutral and charged Higgs bosons in the model; Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

4 A common question... BSM theorist: Is my model consistent with the Higgs data? To-Do List: Calculate masses, total decay widths, cross sections and decay rates for all neutral and charged Higgs bosons in the model; 2 Select and implement all relevant exclusion limits from LEP, Tevatron, LHC; 3 Select and implement all relevant Higgs signal measurements from the LHC; Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

5 A common question... BSM theorist: Is my model consistent with the Higgs data? To-Do List: Calculate masses, total decay widths, cross sections and decay rates for all neutral and charged Higgs bosons in the model; 2 Select and implement all relevant exclusion limits from LEP, Tevatron, LHC; 3 Select and implement all relevant Higgs signal measurements from the LHC; 4 Validate your implementation; Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

6 A common question... BSM theorist: Is my model consistent with the Higgs data? To-Do List: Calculate masses, total decay widths, cross sections and decay rates for all neutral and charged Higgs bosons in the model; 2 Select and implement all relevant exclusion limits from LEP, Tevatron, LHC; 3 Select and implement all relevant Higgs signal measurements from the LHC; 4 Validate your implementation; 5 Test your model against them in a statistically well-defined way; Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

7 A common question... BSM theorist: Is my model consistent with the Higgs data? To-Do List: Calculate masses, total decay widths, cross sections and decay rates for all neutral and charged Higgs bosons in the model; 2 Select and implement all relevant exclusion limits from LEP, Tevatron, LHC; 3 Select and implement all relevant Higgs signal measurements from the LHC; 4 Validate your implementation; 5 Test your model against them in a statistically well-defined way; 6 Interpret your result (95% C.L. allowed/excluded or χ 2 ). Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

8 A common question... BSM theorist: Is my model consistent with the Higgs data? To-Do List: Calculate masses, total decay widths, cross sections and decay rates for all neutral and charged Higgs bosons in the model; Run HiggsBounds and HiggsSignals. 6 Interpret your result (95% C.L. allowed/excluded or χ 2 ). Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

9 HiggsBounds and HiggsSignals: Code overview Team: P. Bechtle, D. Dercks, S. Heinemeyer, T. Klingl, TS, G. Weiglein HiggsBounds Confronts BSM Higgs sectors with exclusion limits from LEP, Tevatron and LHC Higgs searches excluded/allowed at 95% C.L. HiggsSignals Confronts BSM Higgs sectors with LHC (& Tevatron) Higgs signal rate and mass measurements χ 2 (sep. for rates and mass) Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

10 HiggsSignals: The basic idea Take model-predictions for physical quantities of given Higgs sector: m k, Γ tot k, σ i(pp H k ), BR(H k XX ), with k =,..., N, i {ggh, VBF, WH, ZH, t th,... } for N neutral Higgs bosons as the program s user input. Optional input: Theo. uncertainties for mass, cross sections and BR s. 2 Calculate the predicted signal strength µ for every observable, µ H XX = i ɛi model [σ i(pp H) BR(H XX )] model i ɛi SM [σ i(pp H) BR(H XX )] SM. (narrow width approximation assumed) 3 Perform a χ 2 test of model predictions against all available signal rate and mass measurements from Tevatron and LHC. Try to be as model-independent and precise as possible. Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

11 Theoretical Input Model-predictions for physical quantities of given Higgs sector, m k, Γ tot k, σ i(pp H k ), BR(H k XX ), with k =,..., N, i {ggh, VBF, WH, ZH, t th,... }. σ, BR given via effective couplings or at hadronic level using the HiggsBounds framework: SLHA (requires two HiggsBounds specific Blocks), HiggsBounds specific input data-files, or Fortran 90 subroutines. Input for specific models can be provided by other tools, e.g., FeynHiggs, CPsuperH, 2HDMC, SARAH/SPheno, NMSSMTools,... Many example programs provided. Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

12 Experimental input Signal strength measurements: i µ H XX = ɛi model [σ i(pp H) BR(H XX )] model i ɛi SM [σ, i(pp H) BR(H XX )] SM with i {ggh, VBF, WH, ZH, t th} and efficiencies ɛ i. Examples: experimental categories pure signal channels [CMS-PAS-HIG-6-040] [ATLAS+CMS 7/8 TeV, ] correlation matrix Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

13 Signal efficiencies Valuable information! Is included in HiggsSignals if available. Event Categories SM 25 GeV Higgs boson expected signal Total ggh VBF tth bbh thq thw WH lep ZH lep Untagged %.75 %.83 % 0.40 % 0.47 % 0.22 % 0.4 % 0.9 % Untagged % 7.73 % 0.56 %.5 % 0.3 % 0.02 % 0.47 % 0.27 % Untagged % 5.48 % 0.44 %.8 % 0.08 % 0.0 % 0.5 % 0.34 % Untagged % 4.5 % 0.48 %.07 % 0.07 % 0.0 % 0.55 % 0.30 % VBF % % 0.34 % 0.35 % 0.29 % 0.03 % 0.03 % % VBF % % 0.39 % 0.52 % 0.36 % 0.04 % 0.3 % 0.03 % VBF % % 0.8 % 0.73 % 0.53 % 0.07 % 0.20 % 0.06 % tth Hadronic % 0.70 % % 2.02 % 4.3 % 2.02 % 0.09 % 0.05 % tth Leptonic % 0.05 % % 0.08 % 4.73 % 3.04 %.53 %.5 % ZH Leptonic 0.49 % % 2.56 % % 0.02 % 0.3 % % % WH Leptonic % 0.59 % 5.8 % 0.8 % 3.03 % 0.73 % % 4.33 % VH LeptonicLoose % 2.70 % 2.34 % 0.57 %.8 % 0.3 % % 8.87 % VH Hadronic % 3.68 % 3.6 % 0.35 %.39 % 0.27 % 0.7 % 0.42 % VH Met % 2.46 % 4.45 % 0.4 % 2.00 %.4 % 25.7 % % Total % 7.09 %.00 %.09 % 0.5 % 0.04 % 0.8 % 0.42 % It is possible to insert relative efficiency scale factors ζ i ɛ i model /ɛi SM per tested parameter point and measurement. Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

14 The χ 2 evaluation for the signal rates The global χ 2 for the signal rate measurements is given by χ 2 µ = (ˆµ µ) T (Cov) (ˆµ µ). Include correlations of major systematic uncertainties (if publicly known): σ theo i, BR(H k XX ) theo, L,... Cov (assume inclusive rate uncertainties given by the LHC Higgs XS WG) [LHC HXSWG, YR4, ] Ideally, correlation matrices are provided directly by the experiment, which can then be easily inserted in HiggsSignals. Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

15 Validation with LHC Run (7/8 TeV) data [ATLAS+CMS 7/8 TeV, ] Try to reproduce 7 or 8-dimensional κ-fit of ATLAS+CMS Run combination with HiggsSignals, using two different experimental inputs: Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

16 Validation with LHC Run (7/8 TeV) data [ATLAS+CMS 7/8 TeV, ] Try to reproduce 7 or 8-dimensional κ-fit of ATLAS+CMS Run combination with HiggsSignals, using two different experimental inputs: tth ZH WH VBF γγ ZZ bb γγ WW ττ bb 0.07 γγ WW γγ ττ ττ WW WW LHC Run ττ ττ bb γ γ ZZ WW ττ γ γ ZZ WW ττ γ γ WW ττ bb γ γ WW ττ bb γ γ WW ττ bb ggf Tim Stefaniak (DESY) HiggsSignals VBF WH ZH i σj Bk ggf ATLAS and CMS γγ ZZ WW ρ(σ Bf, σj Bk) ) Run- combination input tth σi Bf Higgs Couplings / 8

17 Validation with LHC Run (7/8 TeV) data [ATLAS+CMS 7/8 TeV, ] Try to reproduce 7 or 8-dimensional κ-fit of ATLAS+CMS Run combination with HiggsSignals, using two different experimental inputs: ) Run- combination input σi BRf measurements tth ZH WH VBF ZZ γγ γγ bb WW bb ττ WW ττ ττ γγ WW WW LHC Run ττ γγ ττ bb γ γ ZZ WW ττ γ γ ZZ WW ττ γ γ WW ττ bb γ γ WW ττ bb γ γ WW ττ bb ggf Tim Stefaniak (DESY) VBF WH ZH i σj Bk ggf ATLAS and CMS γγ ZZ WW ρ(σ Bf, σj Bk) correlation matrix tth σi Bf HiggsSignals Higgs Couplings / 8

18 Validation with LHC Run (7/8 TeV) data [ATLAS+CMS 7/8 TeV, ] Try to reproduce 7 or 8-dimensional κ-fit of ATLAS+CMS Run combination with HiggsSignals, using two different experimental inputs: 2) All individual µ measurements (total: 76) ) Run- combination input σi BRf measurements tth ZH WH VBF ZZ γγ γγ bb WW bb ττ WW ττ ττ γγ WW WW LHC Run ττ γγ ττ bb γ γ ZZ WW ττ γ γ ZZ WW ττ γ γ WW ττ bb γ γ WW ττ bb γ γ WW ττ bb ggf Tim Stefaniak (DESY) VBF WH ZH i σj Bk ggf ATLAS and CMS γγ ZZ WW ρ(σ Bf, σj Bk) correlation matrix tth σi Bf HiggsSignals Higgs Couplings / 8

19 Validation with LHC Run (7/8 TeV) data assumption: no new Higgs decay modes, BR(H NP) = 0. Both HiggsSignals results are well consistent with official ATLAS+CMS results; Official σ and 2σ intervals are slightly tighter in all parameters. Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

20 Validation with LHC Run (7/8 TeV) data assumption: upper limit on Higgs-vector boson coupling scale factors: κ V (V = W, Z) Both HiggsSignals results are well consistent with official ATLAS+CMS results; Official σ and 2σ intervals are slightly tighter in all parameters. ATLAS+CMS find tighter constraints on BR(H NP). Possible explanation: HiggsSignals assumes Gaussian uncertainties. Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

21 Complications with multiple neutral Higgs bosons Any neutral Higgs boson could be responsible for the observed signal. Higgs boson i is assigned to the observable α, if its mass is close enough to observed signal position: m i ˆm α Λ ( m i ) 2 + ( ˆm α ) 2 Higgs i assigned with tuning parameter Λ (assignment range). If multiple Higgs bosons are assigned, their signal strengths are added incoherently: µ α = i µ α,i. In case of a mass measurement, a signal-strength weighted mass average is used in the χ 2 m evaluation. If no Higgs boson is assigned to an observable α, its χ 2 contribution is evaluated for zero predicted signal strength, µ α = 0. Tim Stefaniak (DESY) HiggsSignals Higgs Couplings 207 / 8

22 Mass dependence of total χ 2 for a SM-like Higgs boson HiggsSignals provides three different probability distribution functions (pdfs) for the Higgs mass: box-shaped, Gaussian, box-theo.+gaussian-exp. Example: SM Higgs boson with m = 2 GeV (and Λ = ) χ m H [GeV] box Gaussian box+gaussian Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / Number of assignments

23 Example: Real Higgs singlet extension of the SM consider SM extended by a real Higgs singlet with vev 0. doublet-singlet mixing to physical states (h, H) g hxx = cos θ g SM HXX, g HXX = sin θ g SM HXX 0.8 m = 25. GeV HiggsBounds HiggsSignals % C.L. 95.5% C.L. 99.7% C.L. LEP excl. (95% C.L.) LHC excl. (95% C.L.) χ sinα [T. Robens, TS, arxiv: ] m [GeV] Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

24 Example: pmssm [P. Bechtle, H. Haber, S. Heinemeyer, O. Stål, TS, G. Weiglein, L. Zeune, ] Combine HiggsSignals χ 2 with other constraints (b sγ, B s µµ, B u τν, (g 2) µ, M W ; Higgs & SUSY limits) Study pmssm with 8 parameters (relevant for Higgs sector) disfavored by H/A τ + τ searches All points HiggsBounds allowed χ 2 < 2.30 χ 2 < 5.99 Best fit point only Higgs data all observables SM: χ 2 /ndf = 70.2/ /9 MSSM: χ 2 /ndf = 67.9/ /9 Found allowed points in decoupling limit and in alignment without decoupling region. Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

25 Current status Current versions, HiggsBounds-5..beta and HiggsSignals-2..0beta, contain the 3 TeV LHC results, extended input quantities and several new features. New documentation for each code is in work (hence, the beta ). Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

26 Current status Current versions, HiggsBounds-5..beta and HiggsSignals-2..0beta, contain the 3 TeV LHC results, extended input quantities and several new features. New documentation for each code is in work (hence, the beta ). Some new developments und future directions: Possibility to insert signal rates directly [e.g. σ(gg φ f f )] without assumption of narrow width approximation (i.e. factorization of XS and BR). Possible to account for non-trivial rate modifications (e.g. interferences). Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

27 Current status Current versions, HiggsBounds-5..beta and HiggsSignals-2..0beta, contain the 3 TeV LHC results, extended input quantities and several new features. New documentation for each code is in work (hence, the beta ). Some new developments und future directions: Possibility to insert signal rates directly [e.g. σ(gg φ f f )] without assumption of narrow width approximation (i.e. factorization of XS and BR). Possible to account for non-trivial rate modifications (e.g. interferences). Enable & transition to new form of experimental input: Simplified Template Cross Sections (STXS): maximize model discrimination power while minimizing model-dependence; σ and BR ratio parameters: cancellation of theoretical uncertainties; σ(gg H ZZ), σ VBF /σ ggf,... BR WW /BR ZZ,... Note: This experimental input is useless unless it comes with a correlation matrix! Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

28 Simplified Template Cross Sections (STXS) 438 III.2.. Overview [LHC HXSWG, YR4, ] low p T t ratios of ZZ WW b b ( Z µµ ) H! high p T t VBF loose (MVA) VBF tight (MVA) VH leptonic t th leptonic H! ZZ H! WW H! b b = 0-jet = -jet 2-jet VBF cuts MVA low p T (V ) MVA high p T (V ) (ggf) (VBF) (VH) = 0-jet -jet 2-jet VBF cuts Rest 2-jet VBF cuts high-q 2 BSM low p V T high p V T very high p V T ' 2-jet & 3-jet = 0-jet -jet µ i, apple i g k EFT coeffs specific BSM H! (t th) (b bh) (th) Tim Stefaniak Figure (DESY) 27: Schematic overview of HiggsSignals the simplified template cross sectionhiggs framework. Couplings / 8

29 j H T H T j T H T H H H j STXS performance of ATLAS H γγ 3 TeV results [ATLAS-CONF ] ATLAS presented 9 STXS together with a correlation matrix. Use with HiggsSignals and compare with official fit results! ATLAS Preliminary ggh ( jet, 60 ggh ( jet, 20 qq H ggh ( jet, p T H p T H p T Hqq (p T ggh (0 jet) < 60 GeV) < 20 GeV) < 200 GeV) ggh ( 2 jet) < 200 GeV) ggh + qq Hqq (BSM-like) SM prediction VH (leptonic) top - s=3 TeV, 36. fb H γγ, m =25.09 GeV H Measured σ BR normalized to SM re 5: Summary plot of the measured simplified template cross sections times the Higgs to diphoton branching. For illustration purposes the central values have been divided by their SM expectations but no additional uncertainties have been folded into the measurement. The uncertainties on the SM predicted cross-sections Figure are 6: Observed correlations between the measured simplified template cross sections with respect to the total n in grey in the plot. The definition of the measured regions can be found in Table. The fitted value of (top) uncertainties. The colour indicates the size of the correlation. esponds to the sum of t th, thq b, and thw production cross sections under the assumption that their relative qq ggh ( jet, p ggh ( jet, 60 p ggh ( jet, 20 p Hqq (p ggh (0 jet) < 60 GeV) < 20 GeV) < 200 GeV) ggh ( 2 jet) < 200 GeV) ggh + qq Hqq (BSM-like) ggh - qq Hqq (BSM-like) VH (leptonic) top ggh (0 jet) < 60 GeV) T ggh ( jet, p < 20 GeV) ggh ( jet, 60 p ATLAS Preliminary < 200 GeV) ggh ( jet, 20 p - s=3 TeV, 36. fb H γγ, m =25.09 GeV H Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8 ggh ( 2 jet) < 200 GeV) T Hqq (p qq ggh + qq Hqq (BSM-like) ggh - qq Hqq (BSM-like) VH (leptonic) top ρ(x,y)

30 STXS performance of ATLAS H γγ 3 TeV results [ATLAS-CONF ] ATLAS presented 9 STXS together with a correlation matrix. Use with HiggsSignals and compare with official fit results! 4.5 σv H, σtth profiled σvbf/σsm κγ.2.0 κf σggf/σsm κg κv Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

31 STXS performance of ATLAS H γγ 3 TeV results [ATLAS-CONF ] ATLAS presented 9 STXS together with a correlation matrix. Use with HiggsSignals and compare with official fit results! 4.5 σv H, σtth profiled σvbf/σsm κγ.2.0 κf σggf/σsm κg κv Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

32 STXS performance of ATLAS H γγ 3 TeV results [ATLAS-CONF ] ATLAS presented 9 STXS together with a correlation matrix. Use with HiggsSignals and compare with official fit results! 4.5 σv H, σtth profiled σvbf/σsm κγ.2.0 κf σggf/σsm without correlation matrix κg σv H, σtth profiled κv σvbf/σsm κγ κf σggf/σsm κg κv Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

33 STXS performance of ATLAS H γγ 3 TeV results [ATLAS-CONF ] ATLAS presented 9 STXS together with a correlation matrix. Use with HiggsSignals and compare with official fit results! 4.5 σv H, σtth profiled σvbf/σsm κγ.2.0 κf First tests with STXS in HiggsSignals very successful! σggf/σsm κg κv without correlation matrix But: σv H, σtth profiled Correlations need to be included! σvbf/σsm κγ κf σggf/σsm κg κv Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

34 Summary HiggsBounds and HiggsSignals provide an interface between experiment and theory. They test the compatibility of BSM theories with latest Higgs data: accurate and validated tool for testing your model, works well also for extended Higgs sectors, requires physical quantities as input (almost) model-independent, interfaces to many model building tools exist, complete information on rate measurements is crucial for implementation: signal efficiencies, correlation matrices,... new experimental input (STXS, σ and BR-ratios) is being implemented and first results look promising. Available at (Sign up on mailing list!) Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

35 Summary HiggsBounds and HiggsSignals provide an interface between experiment and theory. They test the compatibility of BSM theories with latest Higgs data: accurate and validated tool for testing your model, works well also for extended Higgs sectors, requires physical quantities as input (almost) model-independent, interfaces to many model building tools exist, complete information on rate measurements is crucial for implementation: signal efficiencies, correlation matrices,... new experimental input (STXS, σ and BR-ratios) is being implemented and first results look promising. Available at (Sign up on mailing list!) Thanks for your attention! Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 8

36 Backup Slides Tim Stefaniak (DESY) HiggsSignals Higgs Couplings 207 / 5

37 Observables included in HiggsSignals-.4.0 in total: 85 signal rate + 4 mass measurements (July 205) h W W lνlν (ggf) [8 TeV] ATLAS h W W lνlν (VBF) [8 TeV] h ZZ 4l (ggh like) [8 TeV] h ZZ 4l (VBF/VH like) [8 TeV] h γγ (central, high pt ) [8 TeV] h γγ (central, low pt ) [8 TeV] h γγ (forward, high pt ) [8 TeV] h γγ (forward, low pt ) [8 TeV] h γγ (tth, had.) [8 TeV] h γγ (VBF, loose) [8 TeV] h γγ (VBF, tight) [8 TeV] h γγ (VH, ET miss ) [8 TeV] h γγ (VH, dijet) [8 TeV] h γγ (VH, l) [8 TeV] h γγ (tth, lep.) [8 TeV] h τhτh (VBF) [8 TeV] h τhτh (boosted) [8 TeV] h τlτh (VBF) [8 TeV] h τlτh (boosted) [8 TeV] h τlτl (VBF) [8 TeV] h τlτl (boosted) [8 TeV] V h V bb (0l) [8 TeV] V h V bb (l) [8 TeV] V h V bb (2l) [8 TeV] V h V W W (2l) [8 TeV] V h V W W (3l) [8 TeV] V h V W W (4l) [8 TeV] 9.6 tth multilepton (l2τh) [8 TeV] tth multilepton (2l0τh) [8 TeV] tth multilepton (2lτh) [8 TeV] tth multilepton (3l) [8 TeV] tth multilepton (4l) [8 TeV] tth tt(bb) [8 TeV] h W W DØ h γγ h ττ h bb h W W h γγ h ττ V h V (bb) tth tt(bb) CDF CMS [8 TeV] h W W 2l2ν (0/ jet) [8 TeV] h W W 2l2ν (VBF) [8 TeV] h W W 2l2ν (VH) [8 TeV] h ZZ 4l (0/ jet) [8 TeV] h ZZ 4l (2 jet) [8 TeV] h γγ (untagged 0) [8 TeV] h γγ (untagged ) [8 TeV] h γγ (untagged 2) [8 TeV] h γγ (untagged 3) [8 TeV] h γγ (untagged 4) [8 TeV] h γγ (VBF, dijet 0) [8 TeV] h γγ (VBF, dijet ) [8 TeV] h γγ (VBF, dijet 2) [8 TeV] h γγ (VH, ET miss ) [8 TeV] h γγ (VH, dijet) [8 TeV] h γγ (VH, loose) [8 TeV] h γγ (VH, tight) [8 TeV] h γγ (tth, multijet) [8 TeV] h γγ (tth, lepton) [7 TeV] h γγ (untagged 0) [7 TeV] h γγ (untagged ) [7 TeV] h γγ (untagged 2) [7 TeV] h γγ (untagged 3) 4.85 [7 TeV] h γγ (VBF, dijet 0) [7 TeV] h γγ (VBF, dijet ) 4.32 [7 TeV] h γγ (VH, ET miss ) 7.86 [7 TeV] h γγ (VH, dijet) [7 TeV] h γγ (VH, loose) [7 TeV] h γγ (tth tags) [8 TeV] h ττ (0jet) [8 TeV] h ττ (jet) [8 TeV] h ττ (VBF) [8 TeV] h µµ [8 TeV] V h V W W (had.) [8 TeV] W h W W W 3l3ν [8 TeV] V h V bb [8 TeV] V h ττ 5.3 [8 TeV] tth 2l (same sign) [8 TeV] tth 3l [8 TeV] tth 4l [8 TeV] tth tt(bb) [8 TeV] tth tt(γγ) [8 TeV] tth tt(ττ) ˆµ Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 5

38 Global fit of the pmssm: The setup Perform a random scan over 8 MSSM parameters ( 0 7 points): M A, tan β, µ, M q3, M l3, M l,2, A t = A b = A τ, M 2 = 2M, (+ m top ) using FeynHiggs and SuperIso for MSSM predictions. (fix other parameters, e.g. m q,2 = m g =.5 TeV) Observables and limits: χ 2 total = (M h/h ˆM) 2 σ 2 M + χ 2 HS + (O i Ô i ) 2 σ 2 i 2 ln L limits Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 5

39 Global fit of the pmssm: The setup Perform a random scan over 8 MSSM parameters ( 0 7 points): M A, tan β, µ, M q3, M l3, M l,2, A t = A b = A τ, M 2 = 2M, (+ m top ) using FeynHiggs and SuperIso for MSSM predictions. (fix other parameters, e.g. m q,2 = m g =.5 TeV) Observables and limits: χ 2 total = (M h/h ˆM) 2 σ 2 M Higgs mass (σm theo = 3 GeV) + χ 2 HS + (O i Ô i ) 2 σ 2 i 2 ln L limits Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 5

40 Global fit of the pmssm: The setup Perform a random scan over 8 MSSM parameters ( 0 7 points): M A, tan β, µ, M q3, M l3, M l,2, A t = A b = A τ, M 2 = 2M, (+ m top ) using FeynHiggs and SuperIso for MSSM predictions. (fix other parameters, e.g. m q,2 = m g =.5 TeV) Observables and limits: χ 2 total = (M h/h ˆM) 2 σ 2 M Higgs signal rates (HiggsSignals) + χ 2 HS + (O i Ô i ) 2 σ 2 i 2 ln L limits Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 5

41 Global fit of the pmssm: The setup Perform a random scan over 8 MSSM parameters ( 0 7 points): M A, tan β, µ, M q3, M l3, M l,2, A t = A b = A τ, M 2 = 2M, (+ m top ) using FeynHiggs and SuperIso for MSSM predictions. (fix other parameters, e.g. m q,2 = m g =.5 TeV) Observables and limits: χ 2 total = (M h/h ˆM) 2 σ 2 M + χ 2 HS + (O i Ô i ) 2 σ 2 i 2 ln L limits Low energy observables (LEO) O i {b sγ, B s µµ, B u τν τ, (g 2) µ, M W } Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 5

42 Global fit of the pmssm: The setup Perform a random scan over 8 MSSM parameters ( 0 7 points): M A, tan β, µ, M q3, M l3, M l,2, A t = A b = A τ, M 2 = 2M, (+ m top ) using FeynHiggs and SuperIso for MSSM predictions. (fix other parameters, e.g. m q,2 = m g =.5 TeV) Observables and limits: χ 2 total = (M h/h ˆM) 2 σ 2 M + χ 2 HS + (O i Ô i ) 2 σ 2 i Higgs exclusion likelihoods (LEP, h/h/a τ + τ ) 2 ln L limits Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 5

43 Global fit of the pmssm: The setup Perform a random scan over 8 MSSM parameters ( 0 7 points): M A, tan β, µ, M q3, M l3, M l,2, A t = A b = A τ, M 2 = 2M, (+ m top ) using FeynHiggs and SuperIso for MSSM predictions. (fix other parameters, e.g. m q,2 = m g =.5 TeV) Observables and limits: χ 2 total = (M h/h ˆM) 2 σ 2 M Hard cuts: + χ 2 HS + (O i Ô i ) 2 σ 2 i + 95% CL limits from Higgs searches (HiggsBounds) 2 ln L limits + Limits from LHC SUSY searches (Herwig++/CheckMATE) + require neutral lightest supersymmetric particle (LSP) Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 5

44 Best-fit points Higgs data Higgs data + LEO χ 2 /ν χ 2 ν P χ 2 /ν χ 2 ν P SM (m h = 25. GeV) 70.2/ / MSSM light Higgs h 67.9/ / MSSM heavy Higgs H 70.0/ / number degrees of freedom: ν = n obs n param SM and both MSSM cases provide similar fit to the Higgs data. Including LEOs, SM fit becomes worse, mainly due to (g 2) µ. M A tan β µ A 0 M q3 M l 3 M l,2 M 2 (GeV) (GeV) (GeV) (GeV) (GeV) (GeV) (GeV) MSSM h MSSM H Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 5

45 Favored parameter regions disfavored by H/A τ + τ searches Bulk of favored points have M A 350 GeV decoupling limit. points with M A 200 GeV possible alignment w/o decoupling. Recall: alignment condition tan β [ ( µat A 2 t MS 2 MS 2 6 )] Alignment occurs at small tan β values if µa t /MS 2 is large. Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 5

46 The κ-framework What is the compatibility of the present data with the SM? Are there tendencies for deviations from the SM prediction? What is the allowed range for possible deviations? Strategy: Profile likelihood fits of simplified models with scale factors (κ) parametrizing the relevant Higgs couplings. [LHC Higgs XS WG, ] κ u, κ d, κ l, κ W, κ Z, κ g, κ γ,... Partial widths and cross sections are scaled with relevant scale factor. E.g.: κ 2 V = σ VBF σ SM VBF = σ VH σ SM VH = Γ H VV Γ SM, H VV κ 2 g = σ ggf σ SM ggf = Γ H gg Γ SM H gg Loop-induced coupling scale factors (κ g, κ γ ) either derived or free parameters. We can allow additional decay modes to new physics : BR(H NP) Tim Stefaniak (DESY) HiggsSignals Higgs Couplings / 5