Kinematics in Higgs Fits

Transcription

1 Kinematics in Higgs Fits Universität Heidelberg LHCHXS Meeting, November 2015

2 Higgs Couplings Standard Model operators [SFitter: Gonzalez-Fraile, Klute, TP, Rauch, Zerwas] Lagrangian [in terms of non-linear sigma model: Buchalla etal, ] L = L SM + W gm W H W µ g W µ + Z m Z H Z µ Z µ m f f 2c w v H ( fr f L + h.c. ) τ,b,t H H + gf G v GµνGµν + γf A v AµνAµν + invisible decays gg H qq qqh gg t th qq VH g HXX = g SM HXX (1 + X ) g SM HXX κ X H ZZ H WW H b b H τ + τ H γγ H / p T

3 Higgs Couplings Standard Model operators [SFitter: Gonzalez-Fraile, Klute, TP, Rauch, Zerwas] Lagrangian [in terms of non-linear sigma model: Buchalla etal, ] L = L SM + W gm W H W µ g W µ + Z m Z H Z µ Z µ m f f 2c w v H ( fr f L + h.c. ) τ,b,t H H + gf G v GµνGµν + γf A v AµνAµν + invisible decays gg H qq qqh gg t th qq VH g HXX = g SM HXX (1 + X ) g SM HXX κ X H ZZ H WW H b b H τ + τ H γγ H / p T Executive summary couplings fit works great offers perfect th-ex interface [Cranmer, Kreiss, Lopez-Val, TP] (1) has issues with electroweak renormalization (2) does not describe kinematic distributions (3) is hard to relate to other sectors

4 SFitter Higgs sector effective field theory [following Corbett, Eboli, Gonzalez-Fraile, Goncales-Garcia] set of Higgs-gauge operators [adjust with Rosetta] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O BW = Φ ˆBµν Ŵ µν Φ O W = (D µφ) Ŵ µν (D νφ) O B = O Φ,1 = (D µφ) Φ Φ ( D µ Φ ) O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O Φ,3 = 1 3 ( Φ Φ) 3 O Φ,4 = (D µφ) ( D µ Φ ) ( ) Φ Φ relevant part after equation of motion, etc L HVV = αsv 8π f g Λ 2 O GG + f BB Λ O 2 BB + f WW Λ 2 O WW + f B Λ 2 O B + f W Λ 2 O W + f Φ,2 Λ 2 O Φ,2

5 SFitter Higgs sector effective field theory [following Corbett, Eboli, Gonzalez-Fraile, Goncales-Garcia] set of Higgs-gauge operators [adjust with Rosetta] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O W = (D µφ) Ŵ µν (D νφ) O B = relevant part after equation of motion, etc L HVV = αsv 8π f g Λ 2 O GG + f BB Higgs couplings to SM particles Λ O 2 BB + f WW Λ 2 L HVV = g g HG a µν Gaµν + g γ HA µνa µν O WW + f B Λ 2 O B + f W Λ 2 O W + f Φ,2 Λ 2 O Φ,2 + g (1) Z Z µνz µ ν H + g (2) HZ Z µνz µν + g (3) HZ Z µz µ ( ) + g (1) W + W µν W µ ν H + h.c. + g (2) W HW + µν W µν + g (3) W HW + µ W µ +

6 SFitter Higgs sector effective field theory [following Corbett, Eboli, Gonzalez-Fraile, Goncales-Garcia] set of Higgs-gauge operators [adjust with Rosetta] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O W = (D µφ) Ŵ µν (D νφ) O B = relevant part after equation of motion, etc L HVV = αsv 8π f g Λ 2 O GG + f BB Higgs couplings to SM particles Λ O 2 BB + f WW Λ 2 L HVV = g g HG a µν Gaµν + g γ HA µνa µν O WW + f B Λ 2 O B + f W Λ 2 O W + f Φ,2 Λ 2 O Φ,2 + g (1) Z Z µνz µ ν H + g (2) HZ Z µνz µν + g (3) HZ Z µz µ ( ) + g (1) W + W µν W µ ν H + h.c. + g (2) W HW + µν W µν + g (3) W HW + µ W µ + plus Yukawa structure f τ,b,t

7 SFitter Higgs sector effective field theory [following Corbett, Eboli, Gonzalez-Fraile, Goncales-Garcia] set of Higgs-gauge operators [adjust with Rosetta] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O W = (D µφ) Ŵ µν (D νφ) O B = relevant part after equation of motion, etc L HVV = αsv 8π f g Λ 2 O GG + f BB Higgs couplings to SM particles Λ O 2 BB + f WW Λ 2 L HVV = g g HG a µν Gaµν + g γ HA µνa µν O WW + f B Λ 2 O B + f W Λ 2 O W + f Φ,2 Λ 2 O Φ,2 + g (1) Z Z µνz µ ν H + g (2) HZ Z µνz µν + g (3) HZ Z µz µ ( ) + g (1) W + W µν W µ ν H + h.c. + g (2) W HW + µν W µν + g (3) W HW + µ W µ + plus Yukawa structure f τ,b,t 7 couplings identical to x, suppressed by v 2 /Λ 2 [with W = Z ] 4 couplings g (1,2) in addition, suppressed by /Λ W,Z [kinematics]

8 SFitter Higgs sector effective field theory [following Corbett, Eboli, Gonzalez-Fraile, Goncales-Garcia] set of Higgs-gauge operators [adjust with Rosetta] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O W = (D µφ) Ŵ µν (D νφ) O B = relevant part after equation of motion, etc L HVV = αsv 8π f g Λ 2 O GG + f BB Λ O 2 BB + f WW Λ 2 O WW + f B Λ 2 O B + f W Λ 2 O W + f Φ,2 Λ 2 O Φ,2 SFitter analysis [Corbett, Eboli, Goncalves, Gonzalez-Fraile, TP, Rauch] setup and data identical to SFitter x fit ew-renormalizable: #1 including p T,V, Φ jj : #2 TGVs for O B,W : #3

9 SFitter Higgs sector effective field theory set of Higgs-gauge operators [adjust with Rosetta] [following Corbett, Eboli, Gonzalez-Fraile, Goncales-Garcia] O GG = Φ ΦG a µν Gaµν O WW = Φ Ŵ µν Ŵ µν Φ O BB = O Φ,2 = 1 ( ) ( ) 2 µ Φ Φ µ Φ Φ O W = (D µφ) Ŵ µν (D νφ) O B = relevant part after equation of motion, etc L HVV = αsv 8π f g Λ 2 O GG + f BB Λ O 2 BB + f WW Λ 2 O WW + f B Λ 2 O B + f W Λ 2 O W + f Φ,2 Λ 2 O Φ,2 SFitter analysis [Corbett, Eboli, Goncalves, Gonzalez-Fraile, TP, Rauch] setup and data identical to SFitter x fit ew-renormalizable: #1 including p T,V, Φ jj : #2 TGVs for O B,W : #3 (1) works (2) D6 is not (3) distributions vs fiducial? L= (7 TeV) (8 TeV) fb -1, 68% CL: ATLAS + CMS f/λ 2 [TeV -2 ] Λ/ f [TeV] f/λ 2 [TeV -2 ] O GG rate only rate+distributions O WW O BB O W O B O φ O t O b O τ Λ/ f [TeV]

10 D6-Lagrangian breakdown [Brehmer, Freitas, Lopez-Val, TP] phenomenology: does D6 capture all model features at LHC? theory: how do D6 vs vs full model differences appear?

11 D6-Lagrangian breakdown [Brehmer, Freitas, Lopez-Val, TP] phenomenology: does D6 capture all model features at LHC? theory: how do D6 vs vs full model differences appear? push models to visible deviations at 13 TeV Higgs portal, 2HDM, stops, vector triplet [weakly interacting, Knochel etal] σ BR 1 (σ BR) SM = g2 m 2 h 0.1 Λ 2 Λ 280 GeV no scale hierarchy for testable models?!

12 D6-Lagrangian breakdown [Brehmer, Freitas, Lopez-Val, TP] phenomenology: does D6 capture all model features at LHC? theory: how do D6 vs vs full model differences appear? push models to visible deviations at 13 TeV Higgs portal, 2HDM, stops, vector triplet [weakly interacting, Knochel etal] σ BR 1 (σ BR) SM = g2 m 2 h 0.1 Λ 280 GeV Λ 2 no scale hierarchy for testable models?! construct and match D6-Lagrangian to full model coupling modifications v 2 /Λ 2 vs new kinematics /Λ? matching conditions with v Λ, v-improved matching?

13 D6-Lagrangian breakdown [Brehmer, Freitas, Lopez-Val, TP] phenomenology: does D6 capture all model features at LHC? theory: how do D6 vs vs full model differences appear? push models to visible deviations at 13 TeV Higgs portal, 2HDM, stops, vector triplet [weakly interacting, Knochel etal] σ BR 1 (σ BR) SM = g2 m 2 h 0.1 Λ 280 GeV Λ 2 no scale hierarchy for testable models?! construct and match D6-Lagrangian to full model coupling modifications v 2 /Λ 2 vs new kinematics /Λ? matching conditions with v Λ, v-improved matching? run LHC simulations: D6-Lagrangian vs full model production: WBF, VH, HH decays: H γγ, 4l check where differences appear at 13 TeV kinematic distributions like p T,j or m VH? resonance peaks of new states?

14 Higgs portal Singlet (v-improved) m H sin α v s/v singlet x Λ c H x c H x p p V h (S1) + - miss u d u d l l E T (S5) σ [fb/bin] 150 SM σ [fb/bin] 1 SM full full 2 3 σ - σ full σ full error v-improved error m Vh [GeV] σ - σ full σ full 0.5 v-improved error 0 error m T [GeV]

15 Higgs portal 2HDM 2HDM Type tan β α/π m 12 m H 0 m A 0 m H ± Λ [GeV] c u c d,l I II II I

16 Higgs portal 2HDM 2HDM Type tan β α/π m 12 m H 0 m A 0 m H ± Λ [GeV] c u c d,l I II II I effects in H γγ σ [fb/bin] p p h γ γ (D1) SM full σ - σ full σ full 1 0 error m γγ [GeV]

17 Higgs portal 2HDM effects in H γγ Top partners Scalar top-partner model M κ LL κ RR κ LR m t 1 m t 2 c H c W c HW

18 Higgs portal 2HDM effects in H γγ Top partners Scalar top-partner model u d u d h (P2) M κ LL κ RR κ LR m t 1 m t c H c W c HW SM full effects in WBF σ [fb/bin] σ - σ full σ full error p [GeV] T,j1

19 Higgs portal 2HDM effects in H γγ Top partners effects in WBF Vector triplet [Brehmer, Biekötter, Krämer, TP] Triplet model M V g V c H c F c VVHH m ξ c W c H c 6 c f

20 Higgs portal 2HDM effects in H γγ Top partners effects in WBF p p V h (T2) Vector triplet [Brehmer, Biekötter, Krämer, TP] Triplet model σ [fb/bin] 2 SM full (no ξ) full M V g V c H c F c VVHH m ξ c W c H c 6 c f T T1 T m Vh [GeV] σ - σ full σ full

21 Higgs portal 2HDM effects in H γγ Top partners effects in WBF p p V h (T2) Vector triplet [Brehmer, Biekötter, Krämer, TP] Triplet model σ [fb/bin] 2 SM full (no ξ) full M V g V c H c F c VVHH m ξ c W 1 c H c 6 c f T T2 1 T p [GeV] T,V σ - σ full σ full

22 Higgs portal 2HDM effects in H γγ Top partners effects in WBF Vector triplet [Brehmer, Biekötter, Krämer, TP] Triplet model 0.2 M V g V c H c F c VVHH m ξ c W full (no ξ) c H SM c 6 c f full T T T Normalised distribution σ - σ full σ full 0.3 u d u d h (T1), p T,j1 > 300 GeV φ jj

23 Higgs portal 2HDM effects in H γγ Top partners effects in WBF Vector triplet [Brehmer, Biekötter, Krämer, TP] Triplet model M V g V c H c F c VVHH m ξ c W c H c 6 c f full (no ξ) SM T T m Vh [GeV] σ [fb/bin] σ - σ full σ full 3 2 p p V h (T4) full

24 Higgs portal 2HDM effects in H γγ Top partners effects in WBF Vector triplet [Brehmer, Biekötter, Krämer, TP] Triplet model M V g V c H c F c VVHH m ξ c W c H c 6 c 1 f SM full (no ξ) T4 1 T p [GeV] T,V σ [fb/bin] σ - σ full σ full 2 p p V h (T4) full

25 Reasons for D6-breakdown Model Process failure resonance kinematics matching v-improvement singlet on-shell h 4l, WBF, Vh,... off-shell WBF,... ( ) hh 2HDM on-shell h 4l, WBF, Vh,... off-shell H γγ,... ( ) hh top partner WBF, Vh vector triplet WBF ( ) Vh ( )

26 Reasons for D6-breakdown Model Process failure resonance kinematics matching v-improvement singlet on-shell h 4l, WBF, Vh,... off-shell WBF,... ( ) hh 2HDM on-shell h 4l, WBF, Vh,... off-shell H γγ,... ( ) hh top partner WBF, Vh vector triplet WBF ( ) Vh ( ) D6-squared terms [Brehmer, Biekötter, Krämer, TP] : same order as D4 D8, neglect D6-Lagrangian: keep or neglect negative rates in phase space? σ [fb/bin] 4 2 p p v H, T1, v-improved matching dotted: full vector triplet 2 O W SM 0 interference m VH [GeV]

27 Reasons for D6-breakdown Model Process failure resonance kinematics matching v-improvement singlet on-shell h 4l, WBF, Vh,... off-shell WBF,... ( ) hh 2HDM on-shell h 4l, WBF, Vh,... off-shell H γγ,... ( ) hh top partner WBF, Vh vector triplet WBF ( ) Vh ( ) D6-squared terms [Brehmer, Biekötter, Krämer, TP] : same order as D4 D8, neglect D6-Lagrangian: keep or neglect negative rates in phase space? σ [fb/bin] 6 4 p p v H, T1, v-improved matching dotted: full vector triplet 2 SM 0 2 O W interference p [GeV] T,V

28 Reasons for D6-breakdown Model Process failure resonance kinematics matching v-improvement singlet on-shell h 4l, WBF, Vh,... off-shell WBF,... ( ) hh 2HDM on-shell h 4l, WBF, Vh,... off-shell H γγ,... ( ) hh top partner WBF, Vh vector triplet WBF ( ) Vh ( ) In practice ex: D6-Lagrangian at weak scale as hypothesis for rates and distributions th: calculations including loop effects ex: correlated Wilson coefficients th: matching to favorite model th: RG running to where you want to live th: error from convergence

29 Higgs couplings at Run II D6 Higgs operator fit works very well [we did the fit] includes x as v 2 /Λ 2 describes distributions though /Λ is easy to simulate through MC [we did it] Rosetta to avoid basis choice only breaks down in theory land [we tested it] can be matched to models [we did it] Laundry list combine with triple gauge boson vertices check what we miss without D8 [custodial symmetry] anything else?