Gauge-Higgs couplings at the LHC

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1 Gaue-His couplins at the LHC Juan González Fraile Universität Heidelber Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 1 / 5

2 Gaue-His couplins at the LHC Outline Precise study of the SM particle interactions as a door for hints of New Physics/answers. Triple aue boson couplins (W W V ) SM: fixed by aue invariance and renormalizability BSM: stron sectors (composite fermions/his ), new bosonic states ( ), extra dimensional Gaue-His unification ( ). LHC (Run I) combination His couplin measurements Run I: SM hypothesis works, couplin strenths %. BSM: extended His sectors, HDM, His Portals, vector triplets, stronly sectors etc Beyond the framework: EFT s Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 / 5

3 Gaue-His couplins at the LHC Outline Precise study of the SM particle interactions as a door for hints of New Physics/answers. Triple aue boson couplins (W W V ) SM: fixed by aue invariance and renormalizability BSM: stron sectors (composite fermions/his ), new bosonic states ( ), extra dimensional Gaue-His unification ( ). LHC (Run I) combination His couplin measurements Run I: SM hypothesis works, couplin strenths %. BSM: extended His sectors, HDM, His Portals, vector triplets, stronly sectors etc Beyond the framework: EFT s Why is a combined Gaue-His analysis interestin? Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 / 5

4 Gaue-His couplins at the LHC Outline -framework for His interactions. Simplest (yet powerful) framework: extended His sector, His portals, HDM. T. Corbett, O. J. P. Éboli, D. Gonçalves, J. G F, T. Plehn, M. Rauch, arxiv: Effective Laranian approach (linear). The role of kinematic distributions, Off-shell measurements, The role of correlations (His TGV) The His portal extension A. Butter, T. Corbett, O. J. P. Éboli, D. Gonçalves, J. G F, M. C. Gonzalez Garcia, T. Plehn, M. Rauch, arxiv: , , , , , Non-linear EFT. Decorrelatin His TGV I. Brivio, T. Corbett, O. J. P. Éboli, M. B. Gavela, J. G F, M. C. Gonzalez Garcia, L. Merlo, S. Riolin, J. Yepes, arxiv: , , , Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 3 / 5

5 Analysis Framework SFITTER His analyses based on Run I event rates (159 measurements): Modes ATLAS CMS H W W H ZZ H γγ H τ τ H b b H Zγ ATLAS-CONF H invisible , ATLAS-CONF , , CMS-PAS-HIG t th production , , kinematic distributions ,147.4 off-shell rate ATLAS-COM-CONF Correlated experimental uncertainties Default: Box shaped theoretical uncertainties Default: Uncorrelated production theoretical uncertainties Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 4 / 5

6 The framework The framework Study the His interactions usin as a parametrization the SM operators with free couplins: L = L SM + W m W H W µ W µ + Z c w m Z H Z µ Z µ τ,b,t f m f v H ( fr f L + h.c. ) + F G H v GµνGµν + γf A H v AµνAµν + invisible decays, Can be easily linked to extended His sectors (cos α >.93) 68 CL, HDM and Composite His ( V 6% and f 1%) 68 CL, His Portals (BR inv < 3.6%) 95 CL. framework is well alined with experimental measurements. Suitable for testin different analysis details Correlated theory uncertainties, Gaussian vrs flat, N 3 LO for luon fusion W L= (7 TeV) (8 TeV) fb -1, 68% CL: ATLAS + CMS SM exp. data Z t b τ SM+NP γ SM+NP BR inv γ x = x SM (1+ x ) Z/W b/τ b/w Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 5 / 5

7 The framework The framework Study the His interactions usin as a parametrization the SM operators with free couplins: L = L SM + W m W H W µ W µ + Z c w m Z H Z µ Z µ τ,b,t f m f v H ( fr f L + h.c. ) + F G H v GµνGµν + γf A H v AµνAµν + invisible decays, Can be easily linked to extended His sectors (cos α >.93) 68 CL, HDM and Composite His ( V 6% and f 1%) 68 CL, His Portals (BR inv < 3.6%) 95 CL. framework is well alined with experimental measurements. Suitable for testin different analysis details Correlated theory uncertainties, Gaussian vrs flat, N 3 LO for luon fusion W L= (7 TeV) (8 TeV) fb -1, 68% CL: ATLAS + CMS SM exp. data Z t b τ SM+NP γ SM+NP BR inv γ x = x SM (1+ x ) Z/W b/τ b/w Goin beyond: Effective Laranians! Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 5 / 5

8 Effective Laranian Approach Effective Laranian Approach O(3) years: SM success motivates model independent parametrization for NP L eff Key principle: To describe physics at some scale (for us, LHC), we do not need to know all the details of the dynamics at a much hiher scale. L eff = L SM + m=1 Based on symmetries and particle content at low enery. n f (4+m) n m O(4+m) n Model Independent: Captures (almost) any NP BSM without committin to a specific BSM extension. If no NP appears quantify the exclusion accuracy on NP. Provides an orderin principle in terms of. First flavor, then LEP/ and EWPD, TGV, also His at LEP and Tevatron Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 6 / 5

9 Effective Laranian Approach Effective Laranian Approach O(3) years: SM success motivates model independent parametrization for NP L eff Key principle: To describe physics at some scale (for us, LHC), we do not need to know all the details of the dynamics at a much hiher scale. L eff = L SM + m=1 Based on symmetries and particle content at low enery. n f (4+m) n m O(4+m) n Model Independent: Captures (almost) any NP BSM without committin to a specific BSM extension. If no NP appears quantify the exclusion accuracy on NP. Provides an orderin principle in terms of. First flavor, then LEP/ and EWPD, TGV, also His at LEP and Tevatron Apply it to the His sector! Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 6 / 5

10 Effective Laranian for His Interactions Effective Laranian: the linear realization Bottom-up model-independent effective Laranian approach: L eff = L SM + n f n On Particle content (SU() L doublet), Symmetries (SM, lepton, baryon, CP) 1 DµΦ = ( µ + i 1 B µ + i σa W a µ ) Φ, ˆBµν = i Bµν, Ŵ µν = i σa W a µν Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 7 / 5

11 Effective Laranian for His Interactions Effective Laranian: the linear realization Bottom-up model-independent effective Laranian approach: L eff = L SM + n f n On Particle content (SU() L doublet), Symmetries (SM, lepton, baryon, CP) Choice of basis: EOM, hue variety of data (DATA DRIVEN), focus measurable at LHC: 1 DµΦ = ( µ + i 1 B µ + i σa W a µ ) Φ, ˆBµν = i Bµν, Ŵ µν = i σa W a µν Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 7 / 5

12 Effective Laranian for His Interactions Effective Laranian: the linear realization Bottom-up model-independent effective Laranian approach: L eff = L SM + n f n On Particle content (SU() L doublet), Symmetries (SM, lepton, baryon, CP) Choice of basis: EOM, hue variety of data (DATA DRIVEN), focus measurable at LHC: 1 O GG = Φ Φ G a µνg aµν, O Φ, = 1 ( µ Φ Φ ) ( µ Φ Φ ), O W W = Φ ŴµνŴ µν Φ, O W = (D µφ) Ŵ µν (D νφ), O BB = Φ ˆB ˆBµν µν Φ, O B = (D µφ) ˆB µν (D νφ), O eφ,33 = (Φ Φ)( L 3 Φe R,3 ), O W W W = Tr (Ŵµν Ŵ νρŵ ) ρ µ O uφ,33 = (Φ Φ)( Q 3 ΦuR,3 ), O dφ,33 = (Φ Φ)( Q 3 Φd R,3 ), Thus, 1 parameters for Gaue-His sector: f GG, f W W, f BB, f φ,, f W, f B, fτ, f b, ft, f W W W 1 DµΦ = ( µ + i 1 B µ + i σa W a µ ) Φ, ˆBµν = i Bµν, Ŵ µν = i σa W a µν Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 7 / 5

13 Effective Laranian for His Interactions Effective Laranian: the linear realization Bottom-up model-independent effective Laranian approach: L eff = L SM + n f n On Particle content (SU() L doublet), Symmetries (SM, lepton, baryon, CP) Choice of basis: EOM, hue variety of data (DATA DRIVEN), focus measurable at LHC: 1 O GG = Φ Φ G a µνg aµν, O Φ, = 1 ( µ Φ Φ ) ( µ Φ Φ ), O W W = Φ ŴµνŴ µν Φ, O W = (D µφ) Ŵ µν (D νφ), O BB = Φ ˆB ˆBµν µν Φ, O B = (D µφ) ˆB µν (D νφ), O eφ,33 = (Φ Φ)( L 3 Φe R,3 ), O W W W = Tr (Ŵµν Ŵ νρŵ ) ρ µ O uφ,33 = (Φ Φ)( Q 3 ΦuR,3 ), O dφ,33 = (Φ Φ)( Q 3 Φd R,3 ), Thus, 1 parameters for Gaue-His sector: Let s see them in unitary aue f GG, f W W, f BB, f φ,, f W, f B, fτ, f b, ft, f W W W 1 DµΦ = ( µ + i 1 B µ + i σa W a µ ) Φ, ˆBµν = i Bµν, Ŵ µν = i σa W a µν Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 7 / 5

14 Effective Laranian for His Interactions Effective Laranian for His Interactions L HVV eff = H HG a µν Gaµν + Hγγ HA µν A µν + (1) HZγ Aµν Zµ ν H + () HAµν Zµν HZγ + (1) HZZ Zµν Zµ ν H + () HZZ HZµν Zµν + (3) HZZ HZµZµ + + (1) ( W + HW W µν W µ ν ) H + h.c. + () HW W HW + µν W µν + (3) HW W HW + µ W µ L Hff eff = f Hij f L f R H + h.c. H = αs f GG v 8π vs fw W + f BB, Hγγ =, (1) HZγ = v s(fw f B ) c, () HZγ = v s[s fbb c f W W c, (1) HZZ = (1) HW W = f Hij = mf i v v c fw + s f B v fw ( 1 v f f c, () HZZ = ), () HW W =, Φ, Hxx = SM Hxx v s 4 fbb + c 4 f W W c, v f W W, ( ) 1 v f Φ, Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 8 / 5

15 Effective Laranian for His Interactions Effective Laranian for His Interactions L HVV eff = H HG a µν Gaµν + Hγγ HA µν A µν + (1) HZγ Aµν Zµ ν H + () HAµν Zµν HZγ + (1) HZZ Zµν Zµ ν H + () HZZ HZµν Zµν + (3) HZZ HZµZµ + + (1) ( W + HW W µν W µ ν ) H + h.c. + () HW W HW + µν W µν + (3) HW W HW + µ W µ L Hff eff = f Hij f L f R H + h.c. H = αs f GG v 8π vs fw W + f BB, Hγγ =, (1) HZγ = v s(fw f B ) c, () HZγ = v s[s fbb c f W W c, (1) HZZ = (1) HW W = f Hij = mf i v v c fw + s f B v fw ( 1 v f f c, () HZZ = ), () HW W =, Φ, Hxx = SM Hxx v s 4 fbb + c 4 f W W c, v f W W, ( ) 1 v f Φ, Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 8 / 5

16 Effective Laranian for His Interactions Effective Laranian for His Interactions L HVV eff = H HG a µν Gaµν + Hγγ HA µν A µν + (1) HZγ Aµν Zµ ν H + () HAµν Zµν HZγ + (1) HZZ Zµν Zµ ν H + () HZZ HZµν Zµν + (3) HZZ HZµZµ + + (1) ( W + HW W µν W µ ν ) H + h.c. + () HW W HW + µν W µν + (3) HW W HW + µ W µ L Hff eff = f Hij f L f R H + h.c. H = αs f GG v 8π vs fw W + f BB, Hγγ =, (1) HZγ = v s(fw f B ) c, () HZγ = v s[s fbb c f W W c, (1) HZZ = (1) HW W = f Hij = mf i v v c fw + s f B v fw ( 1 v f f c, () HZZ = ), () HW W =, Φ, Hxx = SM Hxx v s 4 fbb + c 4 f W W c, v f W W, ( ) 1 v f Φ, Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 8 / 5

17 Effective Laranian for His Interactions Effective Laranian for His Interactions L HVV eff = H HG a µν Gaµν + Hγγ HA µν A µν + (1) HZγ Aµν Zµ ν H + () HAµν Zµν HZγ + (1) HZZ Zµν Zµ ν H + () HZZ HZµν Zµν + (3) HZZ HZµZµ + + (1) ( W + HW W µν W µ ν ) H + h.c. + () HW W HW + µν W µν + (3) HW W HW + µ W µ L Hff eff = f Hij f L f R H + h.c. H = αs f GG v 8π vs fw W + f BB, Hγγ =, (1) HZγ = v s(fw f B ) c, () HZγ = v s[s fbb c f W W c, (1) HZZ = (1) HW W = f Hij = mf i v v c fw + s f B v fw ( 1 v f f c, () HZZ = ), () HW W =, Φ, Hxx = SM Hxx v s 4 fbb + c 4 f W W c, v f W W, ( ) 1 v f Φ, Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 8 / 5

18 Effective Laranian for His Interactions Effective Laranian for His Interactions L HVV eff = H HG a µν Gaµν + Hγγ HA µν A µν + (1) HZγ Aµν Zµ ν H + () HAµν Zµν HZγ + (1) HZZ Zµν Zµ ν H + () HZZ HZµν Zµν + (3) HZZ HZµZµ + + (1) ( W + HW W µν W µ ν ) H + h.c. + () HW W HW + µν W µν + (3) HW W HW + µ W µ L Hff eff = f Hij f L f R H + h.c. H = αs f GG v 8π vs fw W + f BB, Hγγ =, (1) HZγ = v s(fw f B ) c, () HZγ = v s[s fbb c f W W c, (1) HZZ = (1) HW W = f Hij = mf i v v c fw + s f B v fw ( 1 v f f c, () HZZ = ), () HW W =, Φ, Hxx = SM Hxx v s 4 fbb + c 4 f W W c, v f W W, ( ) 1 v f Φ, Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 8 / 5

19 Effective Laranian for His Interactions Effective Laranian for His Interactions L HVV eff = H HG a µν Gaµν + Hγγ HA µν A µν + (1) HZγ Aµν Zµ ν H + () HAµν Zµν HZγ + (1) HZZ Zµν Zµ ν H + () HZZ HZµν Zµν + (3) HZZ HZµZµ + + (1) ( W + HW W µν W µ ν ) H + h.c. + () HW W HW + µν W µν + (3) HW W HW + µ W µ L Hff eff = f Hij f L f R H + h.c. H = αs f GG v 8π vs fw W + f BB, Hγγ =, (1) HZγ = v s(fw f B ) c, () HZγ = v s[s fbb c f W W c, (1) HZZ = (1) HW W = f Hij = mf i v v c fw + s f B v fw ( 1 v f f c, () HZZ = ), () HW W =, Φ, Hxx = SM Hxx v s 4 fbb + c 4 f W W c, v f W W, ( ) 1 v f Φ, Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 8 / 5

20 Effective Laranian for His Interactions Effective Laranian for His Interactions L HVV eff = H HG a µν Gaµν + Hγγ HA µν A µν + (1) HZγ Aµν Zµ ν H + () HAµν Zµν HZγ + (1) HZZ Zµν Zµ ν H + () HZZ HZµν Zµν + (3) HZZ HZµZµ + + (1) ( W + HW W µν W µ ν ) H + h.c. + () HW W HW + µν W µν + (3) HW W HW + µ W µ L Hff eff = f Hij f L f R H + h.c. H = αs f GG v 8π vs fw W + f BB, Hγγ =, (1) HZγ = v s(fw f B ) c, () HZγ = v s[s fbb c f W W c, (1) HZZ = (1) HW W = f Hij = mf i v v c fw + s f B v fw ( 1 v f f c, () HZZ = ), () HW W =, Φ, Hxx = SM Hxx v s 4 fbb + c 4 f W W c, v f W W, ( ) 1 v f Φ, Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 8 / 5

21 Effective Laranian for His Interactions Global analysis of the His interactions I Event rates (159) from ATLAS and CMS: H W W H ZZ H γγ H τ τ H b b H Zγ H invisible t th production Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 9 / 5

22 Effective Laranian for His Interactions Global analysis of the His interactions I Event rates (159) from ATLAS and CMS: H W W H ZZ H γγ H τ τ H b b H Zγ H invisible t th production Distributions from ATLAS H b b (149.61): Events/bin SM (SM His) x 7 (f W / =TeV - ) x 7 leptons p T V(GeV) Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 9 / 5

23 Effective Laranian for His Interactions Global analysis of the His interactions I Event rates (159) from ATLAS and CMS: H W W H ZZ H γγ H τ τ H b b H Zγ H invisible t th production From ATLAS differential H γγ (147.4): Distributions from ATLAS H b b (149.61): Events/bin SM (SM His) x 7 (f W / =TeV - ) x 7 leptons p T V(GeV) Events/bin 1 SM His f WW / =-f BB / =TeV - f WW / =-f BB / =-TeV - γγ jj 1 π/3 π/3 π Φ jj Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 9 / 5

24 Effective Laranian for His Interactions Global analysis of the His interactions I Event rates (159) from ATLAS and CMS: H W W H ZZ H γγ H τ τ H b b H Zγ H invisible t th production Distributions from ATLAS H b b (149.61): Events/bin SM (SM His) x 7 (f W / =TeV - ) x 7 leptons p T V(GeV) From ATLAS differential H γγ (147.4): m 4l from off shell measurements: Events/bin 1 SM His f WW / =-f BB / =TeV - f WW / =-f BB / =-TeV - γγ jj 1-1 L=5.1 (7 TeV) (8 TeV) fb CMS qq ZZ ZZ (, t )=(1,-1) (, t )=(,-) data pp ZZ Events/bin 1 π/3 π/3 π Φ jj m 4l [GeV Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 9 / 5

25 Effective Laranian for His Interactions Full dimension-6 analysis f BB / 1 [TeV f WW / [TeV - f B / 4 [TeV f W / [TeV - f BB / 1 [TeV f B / [TeV - Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 1 / 5

26 Effective Laranian for His Interactions Full dimension-6 analysis f BB / 1 [TeV f B / 4 [TeV f BB / 1 [TeV f WW / [TeV - f W / [TeV - f B / [TeV - f BB / 1 f [TeV - B / 4 f 5 [TeV - BB / 1 [TeV f WW / [TeV f W / [TeV f B / [TeV - Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 1 / 5

27 Combination of LHC Run I TGV data Effective Laranian for TGV interactions The usual Laranian to study TGV interactions since LEP: L W W V eff = W W V ( i V 1 ) i λ V MW W ρµ W ν µ V νρ (W µνw µ V ν W µw µν V ν ) iκ V W µw νv µν 1 Z = 1 Z 1 = v 8c f W, κ γ = κ γ 1 = v 8 f W + f B, κ Z = κ Z 1 = λ γ = λ Z = v ( ) 8c c f W s f B 3 MW f W W W., Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

28 Combination of LHC Run I TGV data Effective Laranian for TGV interactions The usual Laranian to study TGV interactions since LEP: L W W V eff = W W V ( i V 1 ) i λ V MW W ρµ W ν µ V νρ (W µνw µ V ν W µw µν V ν ) iκ V W µw νv µν These can be directly measured at Colliders in diboson production (W W, W Z, W γ): Events/bin SM WW Backround f W / =5TeV - f B / =5TeV - f WWW / =5TeV - Data p T lead(gev) 1 Z = 1 Z 1 = v 8c f W, κ γ = κ γ 1 = v 8 f W + f B, κ Z = κ Z 1 = λ γ = λ Z = v ( ) 8c c f W s f B 3 MW f W W W., Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

29 Combination of LHC Run I TGV data Effective Laranian for TGV interactions The usual Laranian to study TGV interactions since LEP: L W W V eff = W W V ( i V 1 ) i λ V MW W ρµ W ν µ V νρ (W µνw µ V ν W µw µν V ν ) iκ V W µw νv µν These can be directly measured at Colliders in diboson production (W W, W Z, W γ): 1 Z = 1 Z 1 = v 8c f W, κ γ = κ γ 1 = v 8 f W + f B, κ Z = κ Z 1 = λ γ = λ Z = v ( ) 8c c f W s f B 3 MW f W W W., Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

30 Combination of LHC Run I TGV data Analysis Framework arxiv: Channel Distribution # bins Data set W W lep. p lead T 4 ATLAS 8 TeV,.3 fb 1, W W lep. m ll ( ) 8 CMS 8 TeV, 19.4 fb 1, W Z lep. m W T Z 6 ATLAS 8 TeV,.3 fb 1, W Z lep. Z p ll T 1 CMS 8 TeV, 19.6 fb 1, PAS-SMP-1-6 W V semilep. V p jj T 1 ATLAS 7 TeV, 4.6 fb 1, W V semilep. V p jj T 1 CMS 7 TeV, 5. fb 1, W Z lep. Z p ll T 7 ATLAS 7 TeV, 4.6 fb 1, W Z lep. Z p ll T 8 CMS 7 TeV, 4.9 fb 1, PAS-SMP-1-6 Re-interpret searches: FR, MG5, Pythia, Delphes Statistical analysis: SFITTER Lo-likelihood analysis: statistical, backround, systematic, and theory uncertainties. Includin correlations Validation: example ATLAS WW at 8TeV Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 1 / 5

31 Combination of LHC Run I TGV data Analysis Framework arxiv: Channel Distribution # bins Data set W W lep. p lead T 4 ATLAS 8 TeV,.3 fb 1, W W lep. m ll ( ) 8 CMS 8 TeV, 19.4 fb 1, W Z lep. m W T Z 6 ATLAS 8 TeV,.3 fb 1, W Z lep. Z p ll T 1 CMS 8 TeV, 19.6 fb 1, PAS-SMP-1-6 W V semilep. V p jj T 1 ATLAS 7 TeV, 4.6 fb 1, W V semilep. V p jj T 1 CMS 7 TeV, 5. fb 1, W Z lep. Z p ll T 7 ATLAS 7 TeV, 4.6 fb 1, W Z lep. Z p ll T 8 CMS 7 TeV, 4.9 fb 1, PAS-SMP-1-6 Re-interpret searches: FR, MG5, Pythia, Delphes Statistical analysis: SFITTER Lo-likelihood analysis: statistical, backround, systematic, and theory uncertainties. Includin correlations 1 Validation: example ATLAS WW at 8TeV f W - [TeV Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 1 / 5 - [TeV f B best fit Δ (- lo L)

32 f Combination of LHC Run I TGV data Analysis Framework arxiv: Channel Distribution # bins Data set W W lep. p lead T 4 ATLAS 8 TeV,.3 fb 1, W W lep. m ll ( ) 8 CMS 8 TeV, 19.4 fb 1, W Z lep. m W T Z 6 ATLAS 8 TeV,.3 fb 1, W Z lep. Z p ll T 1 CMS 8 TeV, 19.6 fb 1, PAS-SMP-1-6 W V semilep. V p jj T 1 ATLAS 7 TeV, 4.6 fb 1, W V semilep. V p jj T 1 CMS 7 TeV, 5. fb 1, W Z lep. Z p ll T 7 ATLAS 7 TeV, 4.6 fb 1, W Z lep. Z p ll T 8 CMS 7 TeV, 4.9 fb 1, PAS-SMP-1-6 Re-interpret searches: FR, MG5, Pythia, Delphes Statistical analysis: SFITTER Lo-likelihood analysis: statistical, backround, systematic, and theory uncertainties. Includin correlations 1 Validation: example ATLAS WW at 8TeV f W - [TeV Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 1 / 5 - [TeV WWW best fit Δ (- lo L)

33 f Combination of LHC Run I TGV data Combined LHC Run I results arxiv: [TeV WWW CMS ATLAS 7 WZ 7 semi 8 WW 8 WZ combined f W [TeV Variety of channels leads to stron constraints: - - [TeV f B CMS ATLAS 7 WZ 7 semi 8 WW 8 WZ 3 1 combined 1 3 f W [TeV - Stronest: f W W W / (from W W and W Z), close: f W / (also from both). f B weaker: only W W (in W W Z s w c suppression). w Semileptonic 8 TeV would improve the results. Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

34 f Combination of LHC Run I TGV data Comparison and combination with LEP arxiv: [TeV WWW LHC LHC+LEP LEP - [TeV f B LHC LHC+LEP LEP f W [TeV f W [TeV - Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

35 f Combination of LHC Run I TGV data Comparison and combination with LEP arxiv: [TeV WWW LHC LHC+LEP LEP - [TeV f B LHC LHC+LEP LEP f W [TeV LHC+LEP 95%CL (1-dim profiled) f W [TeV - f W [ 1.3, 6.3 TeV, f B [ 18, 5, 1.9 TeV, LHC 95% CL (1-dim profiled) f W W W [.7,.8 TeV. Z 1 [.6,.6, κ γ [.41,.7, λ γ,z [.98,.13. Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

36 f Combination of LHC Run I TGV data Comparison and combination with LEP arxiv: [TeV WWW LHC LHC+LEP LEP - [TeV f B LHC LHC+LEP LEP f W [TeV f W [TeV - LHC Run I 68 % CL Correlations 1 Z.1 ± κ γ.17 ± λ.9 ± Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

37 Combination of LHC Run I TGV data Combined Gaue-His results arxiv: Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

38 f Combination of LHC Run I TGV data Combined Gaue-His results arxiv: [TeV f BB [TeV f B - [TeV BB Δ (- lo L) f WW - [TeV f W - [TeV f B - [TeV 3 1 Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

39 f f f f Combination of LHC Run I TGV data Combined Gaue-His results arxiv: [TeV BB [TeV f B - [TeV BB Δ (- lo L) f WW - [TeV f W - [TeV f B - [TeV [TeV BB [TeV f B - [TeV BB Δ (- lo L) f WW - [TeV f W - [TeV f B - [TeV 3 1 Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

40 Combination of LHC Run I TGV data Combined Gaue-His results II arxiv: f/ [TeV LHC-His, 95% CL LHC-His + LHC-TGV + LEP-TGV, 95% CL / f [TeV f/ [TeV / f [TeV O GG O WW O BB O W O B O φ O WWW O t O b O τ Combination based on O W and O B common contribution to both His and TGV interaction correlation from His SU() L doublet nature. Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

41 Combination of LHC Run I TGV data Combined Gaue-His results II arxiv: f/ [TeV LHC-His, 95% CL LHC-His + LHC-TGV + LEP-TGV, 95% CL / f [TeV f/ [TeV / f [TeV O GG O WW O BB O W O B O φ O WWW O t O b O τ Combination based on O W and O B common contribution to both His and TGV interaction correlation from His SU() L doublet nature. Relaxin this assumption Non-linear effective laranian expansion His-TGV (de)correlation testable I. Brivio, J. G F, Gonzalez Garcia, L. Merlo arxiv: Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

42 EFT expansion? Combination of LHC Run I TGV data f/ [TeV LHC-His, 95% CL LHC-His + LHC-TGV + LEP-TGV, 95% CL / f [TeV f/ [TeV / f [TeV O GG O WW O BB O W O B O φ O WWW O t O b O τ With the current sensitivity, this is model dependent dimension 6 Laranian. EFT vrs. full model: Biekoetter et al , Gorbhan et al , Dawson et al , Crai et al , Drozd et al , Brehmer et al and , Contino et al etc Several weakly interactin extensions: extra sinlet, extra doublet, vector triplet, colored scalar partner Several His channels: Associated production, WBF, decays to photons, 4l, hh Several variables: m 4l, m V H, p T,j, Φ jj etc Interestin questions arise about how to perform the matchin. Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

43 Disentanlin a dynamical His Disentanlin a dynamical His Motivated by composite models His as a PGB of a lobal symmetry. Non-linear or chiral effective Laranian expansion includin the liht His. SM Gaue bosons and fermions Liht His without a iven model treated as eneric sinlet h F i (h) = 1 + a i h v + b i h v +... h is not part of Φ More possible operators Dimensionless unitary matrix: U(x) = e iσaπa (x)/v (V µ ( D µu ) U and T Uσ 3 U ) Relative reshufflin of the order at which operators appear The Laranian is now: L chiral = L + L Comparison with the linear basis! Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

44 Disentanlin a dynamical His The Non-linear Laranian Alonso et al Brivio et al L chiral = L + L Buchalla et al Leadin order Laranian L = 1 ( µh)( µ h) 1 4 W a µνw aµν 1 4 BµνBµν 1 4 Ga µνg aµν V (h) v 4 Tr[VµVµ F C (h) + i Q/DQ + i L/DL v ( QL UY Q (h)q R + h.c. ) v ( LL UY L L R + h.c. ), Next order: L = L bos + L fer. For instance, bosonic CP-even part: L CP bos = c B P B (h) + c W P W (h) + c G P G (h) + c T P T (h) + c DH P DH (h) + c i P i (h) + c i P i (h) 1 6, c i P i (h) + c i P i (h) + c i P i (h) 17,18, 4,6 W W W,GGG DµU(x) µu(x) + iw µ(x)u(x) i Bµ(x)U(x)σ 3, Y Q,L dia ( Y U,ν, Y D,L ) Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February / 5

45 Disentanlin a dynamical His The Non-linear Laranian Alonso et al Brivio et al v 4 Tr[VµVµ F C (h) P T (h) = v 4 Tr(TVµ)Tr(TVµ )F T (h) P B (h) = 1 4 Bµν Bµν F B P W (h) = 1 4 W a µν W aµν F W P G (h) = 1 4 Ga µν Gaµν F G P DH (h) = ( µf DH (h) µ F ) DH (h) P 1 (h) = B µν Tr(TW µν )F 1 P (h) = i 4π Bµν Tr(T[Vµ, V ν )F P 3 (h) = i 4π Tr(Wµν [Vµ, V ν )F 3 P 4 (h) = i 4π Bµν Tr(TVµ ) ν F 4 P 5 (h) = i 4π Tr(Wµν Vµ ) ν F 5 P 6 (h) = 1 (4π) (Tr(VµVµ )) F 6 P 8 (h) = 1 (4π) Tr(VµVν ) µ F 8 ν F 8 P 11 (h) = 1 P 1 (h) = (Tr(TW µν )) F 1 P 13 (h) = i P 14 (h) = εµνρλ 4π Tr(TVµ)Tr(Vν W ρλ)f 14 P 17 (h) = i P 18 (h) = 1 (4π) Tr(T[Vµ, Vν )Tr(TVµ ) ν F 18 P (h) = 1 P 1 (h) = 1 (4π) (Tr(TVµ)) ν F 1 ν F 1 (4π) (Tr(VµVν )) F 11 4π Tr(TWµν )Tr(T[Vµ, V ν )F 13 4π Tr(TWµν )Tr(TVµ ) ν F 17 (4π) Tr(VµVµ ) ν F ν F And P (h), P 3 (h), P 4 (h), P 6 (h). Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 / 5

46 Disentanlin a dynamical His Analysis usin only His data Brivio et al Focusin on His trilinear interactions not many chanes: 1 a G 1 a W 1 a B a 4 a 5 a C a 17 Y t (1)/Y t () Y b (1)/Y b () Y τ (1)/Y τ () c c 3 1 c WWW Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 1 / 5

47 Disentanlin a dynamical His Decorrelatin His and TGV Interestin aspects show up when comparin different measurements 3 Parallel reasonin applies to OW and P 3 P 5 Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 / 5

48 Disentanlin a dynamical His Decorrelatin His and TGV Interestin aspects show up when comparin different measurements: In the linear case 3 O B = ie 8 AµνW µ W +ν (v + h) ie Z µνw µ W +ν (v + h) 8 cos θ W e A µνz µ ν e h(v + h) + 4 cos θ W 4 cos Z µνz µ ν h(v + h) θ W whereas in the non-linear case P (h) = ie A µνw µ W +ν F (h) ie Z µνw µ W +ν F (h) cos θ W P 4 (h) = e A µνz µ ν e F 4 (h) + cos θ W cos Z µνz µ ν F 4 (h) θ W His-TGV Correlated! His-TGV may be decorrelated! 3 Parallel reasonin applies to OW and P 3 P 5 Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 / 5

49 Disentanlin a dynamical His Decorrelatin His and TGV Interestin aspects show up when comparin different measurements: In the linear case 3 O B = ie 8 AµνW µ W +ν (v + h) ie Z µνw µ W +ν (v + h) 8 cos θ W e A µνz µ ν e h(v + h) + 4 cos θ W 4 cos Z µνz µ ν h(v + h) θ W whereas in the non-linear case P (h) = ie A µνw µ W +ν F (h) ie Z µνw µ W +ν F (h) cos θ W P 4 (h) = e A µνz µ ν e F 4 (h) + cos θ W cos Z µνz µ ν F 4 (h) θ W Perform lobal His-TGV analysis, with non-linear coefficients, definin: Σ B 4(c + a 4 ), Σ W (c 3 a 5 ), B 4(c a 4 ), W (c 3 + a 5 ), order d = 6 of the linear reime Σ B = f B, Σ W = f W, while B = W =. His-TGV Correlated! His-TGV may be decorrelated! 3 Parallel reasonin applies to OW and P 3 P 5 Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 / 5

50 Disentanlin a dynamical His Decorrelatin His and TGV Left:A BSM sensor irrespective of the type of expansion: constraints from TGV and His data on the combinations Σ B = 4(c + a 4 ) and Σ W = (c 3 a 5 ), which convere to c B and c W in the linear d = 6 limit. Riht:A non-linear versus linear discriminator: constraints on the combinations B = 4(c a 4 ) and W = (c 3 + a 5 ), which would take zero values in the linear (order d = 6) limit (as well as in the SM), indicated by the dot at (, ). Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 3 / 5

51 Disentanlin a dynamical His Hiher order differences arxiv: Reshufflin interactions that are stronly suppressed in one case may be leadin corrections in the other. More on TGV! At first order in non-linear expansion (but at dim 8 in the linear one) P 14 contributes to anomalous TGV: 5 Z (C- and P-odd but CP even). L W W V = i V 5 ɛµνρσ ( W + µ ρw ν W ν ρw + µ ξ 3 cos θ W ε µνρλ [p +λ + p λ ) V σ Chiral expansion: several operators contribute to QGVs without inducin TGVs coefficients less constrained at present (larer deviations may be expected). Linear expansion: modifications of QGVs that do not induce chanes to TGVs appear only when d = 8. Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 4 / 5

52 Outlook Summary His: framework: well alined with experimental measurements. EFT: Kinematic distributions included, key feature. Gaue-His: Combination of LHC Run I EW pair production: improves LEP TGV bounds. (De)correlations His TGV dinsentanlin His nature. Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 5 / 5

53 Outlook Summary His: framework: well alined with experimental measurements. EFT: Kinematic distributions included, key feature. Gaue-His: Combination of LHC Run I EW pair production: improves LEP TGV bounds. (De)correlations His TGV dinsentanlin His nature. Thank you! Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 5 / 5

54 Outlook m 4l from off shell measurements t 1 + t/ ft 1 + Z/ f φ, / f GG 1 + Z/ f φ, Continuum backround q q () ZZ (left) and His sinal H ZZ (riht). M ZZ = (1 + Z ) [(1 + t)m t + M + M c [ dσ = (1 + Z ) (1 + t) dσtc dσ c + dm 4l dm 4l dm 4l [ + (1 + Z ) (1 + t) dσtt dσ t + (1 + t) + dm 4l dm 4l dσ dm 4l + dσc dm 4l. Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 6 / 5

55 Outlook m 4l from off shell measurements -1 L=5.1 (7 TeV) (8 TeV) fb CMS 1 qq ZZ ZZ (, t )=(1,-1) (, t )=(,-) data pp ZZ Events/bin m 4l [GeV Here we can use ATLAS and CMS Bins directly into the analysis Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 7 / 5

56 Outlook m 4l from off shell measurements 1 1 pp ZZ Events/bin -1 L=5.1 (7 TeV) (8 TeV) fb CMS qq ZZ ZZ (, t )=(1,-1) (, t )=(,-) data m 4l [GeV t Here we can use ATLAS and CMS Bins directly into the analysis Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 7 / 5

57 Outlook m 4l from off shell measurements 1 1 pp ZZ Events/bin -1 L=5.1 (7 TeV) (8 TeV) fb CMS qq ZZ ZZ (, t )=(1,-1) (, t )=(,-) data m 4l [GeV Here we can use ATLAS and CMS Bins directly into the analysis t t Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 7 /

58 Outlook Γ H from off shell measurements σ on-shell i H f i (m H ) f (m H ) Γ H vrs. σ off-shell i H f i (m 4l) f (m 4l). May allow to bound the His total decay width under certain assumptions. Here includin effective operators (and not only the luon fusion top-loop induced production). L = L SM + W m W H W µ W µ + Z m Z H Z µ Z µ f c w τ,b,t + F G H v Gµν Gµν + γ F A H m f v H ( fr f L + h.c. ) v Aµν Aµν + invisible decays + unobservable decays. Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 8 / 5

59 Outlook Γ H from off shell measurements σ on-shell i H f i (m H ) f (m H ) Γ H vrs. σ off-shell i H f i (m 4l) f (m 4l). Γ H < 9.3Γ SM H 68% CL May allow to bound the His total decay width under certain assumptions (- ln L) Run I LHC - ATLAS+CMS SM+dim6 95% CL Here includin effective operators (and not only the luon fusion top-loop induced production). L = L SM + W m W H W µ W µ + Z m Z H Z µ Z µ f c w τ,b,t + F G H v Gµν Gµν + γ F A H 68% CL 1 3 m f v H ( fr f L + h.c. ) v Aµν Aµν + invisible decays + unobservable decays. SM Γ H /Γ H Juan González Fraile (Heidelber) 637.WEH-Seminar: Understandin the LHC Bad Honnef, February 17 8 / 5

Kinematics in Higgs Fits

Kinematics in Higgs Fits Universität Heidelberg LHCHXS Meeting, November 2015 Higgs Couplings Standard Model operators [SFitter: Gonzalez-Fraile, Klute, TP, Rauch, Zerwas] Lagrangian [in terms of non-linear