Higgs Couplings. Tilman Plehn. Standard 4/2013. Higgs Couplings. Tilman Plehn. Results. Channels. Higgs couplings.

Transcription

1 Higgs Couplings Universität Heidelberg Standard 4/213

2 Higgs physics 213-2XX Fundamental questions 1 What is the Higgs Lagrangian? [Maggie s talk]

3 Higgs physics 213-2XX Fundamental questions 1 What is the Higgs Lagrangian? [Maggie s talk] psychologically: looked for Higgs, so found a Higgs CP-even spin- scalar expected spin-1 vector unlikely spin-2 graviton unexpected

4 Higgs physics 213-2XX Fundamental questions 1 What is the Higgs Lagrangian? [Maggie s talk] psychologically: looked for Higgs, so found a Higgs CP-even spin- scalar expected spin-1 vector unlikely spin-2 graviton unexpected 2 What are the coupling values?

5 Higgs physics 213-2XX Fundamental questions 1 What is the Higgs Lagrangian? [Maggie s talk] psychologically: looked for Higgs, so found a Higgs CP-even spin- scalar expected spin-1 vector unlikely spin-2 graviton unexpected 2 What are the coupling values? couplings require operator basis eventually renormalization anomalous couplings in addition [hard for spin-2] [mass dimension]

6 Higgs physics 213-2XX Fundamental questions 1 What is the Higgs Lagrangian? [Maggie s talk] psychologically: looked for Higgs, so found a Higgs CP-even spin- scalar expected spin-1 vector unlikely spin-2 graviton unexpected 2 What are the coupling values? couplings require operator basis eventually renormalization anomalous couplings in addition [hard for spin-2] [mass dimension] Elephant channel in the room inclusive searches = gluon fusion couplings discovered g Hgg, g Hγγ, g HZZ, g HWW eventually H Z γ [ATLAS-CONF-213-9, CMS-HIG-13-6] to amuse yourself: Who would build this LHC+ATLAS+CMS to (1) discover a particle which couples to mass?? (2) probe unitarity/renormalizability of the weak Lagrangian??

7 Additional production channels WBF production t W,Z + second-largest rate [small QCD corrections] + tagging jets to trigger and get S/B 1 [m jj very useful] sensitive to pile-up tricky jet veto accessible H WW, ττ, µµ, invisible b,t W,Z

8 Additional production channels WBF production t W,Z + second-largest rate [small QCD corrections] + tagging jets to trigger and get S/B 1 [m jj very useful] sensitive to pile-up tricky jet veto accessible H WW, ττ, µµ, invisible b,t W,Z WH/ZH production + purely leptonic associate production [trigger, small QCD corrections] low rate, tricky QCD backgrounds [Vbb] missing energy in WH, few leptonic Z decays accessible H b b

9 Additional production channels WBF production t W,Z + second-largest rate [small QCD corrections] + tagging jets to trigger and get S/B 1 [m jj very useful] sensitive to pile-up tricky jet veto accessible H WW, ττ, µµ, invisible b,t W,Z WH/ZH production + purely leptonic associate production [trigger, small QCD corrections] low rate, tricky QCD backgrounds [Vbb] missing energy in WH, few leptonic Z decays accessible H b b t th production [b bh only in 2HDM] low rate, complex final state decays γγ > WW > b b at high luminosities [trying to change this] accessible gg t th

10 t W,Z Coupling for SM operators [Zeppenfeld et al; Dührssen et al; SFitter 29] higher orders only in QCD [for weak corrections ask StefanD] couplings from production & decay rates [observables: S,B] setup by Michael Dührssen straightforward except for width and theory errors b,t W,Z gg H qq qqh gg t th qq VH g x = g SM x (1 + x ) H ZZ H WW H b b H τ + τ H γγ

11 Coupling for SM operators [Zeppenfeld et al; Dührssen et al; SFitter 29] higher orders only in QCD [for weak corrections ask StefanD] couplings from production & decay rates [observables: S,B] setup by Michael Dührssen straightforward except for width and theory errors gg H qq qqh gg t th qq VH g x = g SM x (1 + x ) H ZZ H WW H b b H τ + τ H γγ Including Moriond/Aspen data [SFitter: Klute, Lafaye, TP, Rauch, Zerwas] six couplings from data g b from width g t and g g not yet possible [similar: Ellis etal, Djouadi etal, Pich etal, Strumia etal, Maggie etal] Moriond L= (7 TeV)+12-21(8 TeV) fb -1, 68% CL: ATLAS + CMS SM exp. SM g x = g x (1+ x ) data data (+ γ ) poor man s analyses great: H, V, f moving towards Standard Model? -.5 H V f W Z t b τ γ Z/W τ/b b/w

12 Coupling for SM operators [Zeppenfeld et al; Dührssen et al; SFitter 29] higher orders only in QCD [for weak corrections ask StefanD] couplings from production & decay rates [observables: S,B] setup by Michael Dührssen straightforward except for width and theory errors gg H qq qqh gg t th qq VH g x = g SM x (1 + x ) H ZZ H WW H b b H τ + τ H γγ Including Moriond/Aspen data [SFitter: Klute, Lafaye, TP, Rauch, Zerwas] six couplings from data g b from width g t and g g not yet possible [similar: Ellis etal, Djouadi etal, Pich etal, Strumia etal, Maggie etal] Moriond L= (7 TeV)+12-2(8 TeV) fb -1, 68% CL: CMS SM exp. SM g x = g x (1+ x ) data data (+ γ ) poor man s analyses great: H, V, f moving towards Standard Model? -.5 H V f W Z t b τ γ Z/W τ/b b/w

13 Coupling for SM operators [Zeppenfeld et al; Dührssen et al; SFitter 29] higher orders only in QCD [for weak corrections ask StefanD] couplings from production & decay rates [observables: S,B] setup by Michael Dührssen straightforward except for width and theory errors gg H qq qqh gg t th qq VH g x = g SM x (1 + x ) H ZZ H WW H b b H τ + τ H γγ Including Moriond/Aspen data [SFitter: Klute, Lafaye, TP, Rauch, Zerwas] six couplings from data hvv h tt h bb g b from width mixed-in singlet 6% 6% 6% g t and g g not yet possible composite Higgs 8% tens of % tens of % MSSM < 1% 3% depends... [similar: Ellis etal, Djouadi etal, Pich etal, Strumia etal, Maggie etal] poor man s analyses great: H, V, f moving towards Standard Model? expected in BSM models [Gupta, Rzehak, Wells]

14 Coupling for SM operators [Zeppenfeld et al; Dührssen et al; SFitter 29] higher orders only in QCD [for weak corrections ask StefanD] couplings from production & decay rates [observables: S,B] setup by Michael Dührssen straightforward except for width and theory errors gg H qq qqh gg t th qq VH g x = g SM x (1 + x ) H ZZ H WW H b b H τ + τ H γγ Dinosaur extrapolation LHC extrapolations unclear [here: SFitter version] theory extrapolations tricky [here: SFitter version]

15 Coupling for SM operators [Zeppenfeld et al; Dührssen et al; SFitter 29] higher orders only in QCD [for weak corrections ask StefanD] couplings from production & decay rates [observables: S,B] setup by Michael Dührssen straightforward except for width and theory errors gg H qq qqh gg t th qq VH g x = g SM x (1 + x ) H ZZ H WW H b b H τ + τ H γγ Dinosaur extrapolation LHC extrapolations unclear [here: SFitter version] theory extrapolations tricky [here: SFitter version] ILC case obvious [to me] interplay in loop-induced couplings % CL: 3 fb -1, 14 TeV LHC and 5 fb -1, 5 GeV LC 3 fb -1, 14 TeV LHC SM g x = g x (1+ x ) 5 fb -1, 5 GeV LC HL-LHC + LC5 HL-LHC + LC5 ( t c ) H W Z t c b τ γ g

16 Coupling for SM operators [Zeppenfeld et al; Dührssen et al; SFitter 29] higher orders only in QCD [for weak corrections ask StefanD] couplings from production & decay rates [observables: S,B] setup by Michael Dührssen straightforward except for width and theory errors gg H qq qqh gg t th qq VH g x = g SM x (1 + x ) H ZZ H WW H b b H τ + τ H γγ Dinosaur extrapolation LHC extrapolations unclear [here: SFitter version] theory extrapolations tricky [here: SFitter version] ILC case obvious [to me] interplay in loop-induced couplings t th important at LHC and ILC % CL: 3 fb -1, 14 TeV LHC and 5 fb -1, 5 GeV LC 3 fb -1, 14 TeV LHC SM g x = g x (1+ x ) 5 fb -1, 5 GeV LC HL-LHC + LC5 HL-LHC + LC5 ( t c ) H W Z t c b τ γ g

17 Challenges in additional channels WBF production and jet veto tough VH limited by S/B t th problems all over [Jochen Cammin s ATLAS thesis] lots of space for new ideas by young people

18 Challenges in additional channels WBF production and jet veto tough VH limited by S/B t th problems all over [Jochen Cammin s ATLAS thesis] lots of space for new ideas by young people Example: q q VH, H b b and S/B backgrounds continuum Vb b: p T,bb > m H top pairs: jet veto qg Zg Z (b b) effectively 2 2 gg Zb b really 2 3 qg Zqb b really 2 4

19 Challenges in additional channels WBF production and jet veto tough VH limited by S/B t th problems all over [Jochen Cammin s ATLAS thesis] lots of space for new ideas by young people Example: q q VH, H b b and S/B backgrounds continuum Vb b: p T,bb > m H top pairs: jet veto qg Zg Z (b b) effectively 2 2 gg Zb b really 2 3 qg Zqb b really 2 4 ATLAS: σ/σ SM > 1.9 [ATLAS-CONF ]

20 Challenges in additional channels WBF production and jet veto tough VH limited by S/B t th problems all over [Jochen Cammin s ATLAS thesis] lots of space for new ideas by young people Example: q q VH, H b b and S/B backgrounds continuum Vb b: p T,bb > m H top pairs: jet veto qg Zg Z (b b) effectively 2 2 gg Zb b really 2 3 qg Zqb b really 2 4 ATLAS: σ/σ SM > 1.9 [ATLAS-CONF ]

21 Challenges in additional channels WBF production and jet veto tough VH limited by S/B t th problems all over [Jochen Cammin s ATLAS thesis] lots of space for new ideas by young people Example: q q VH, H b b and S/B backgrounds continuum Vb b: p T,bb > m H top pairs: jet veto qg Zg Z (b b) effectively 2 2 gg Zb b really 2 3 qg Zqb b really 2 4 ATLAS: σ/σ SM > 1.9 [ATLAS-CONF ]

22 Challenges in additional channels WBF production and jet veto tough VH limited by S/B t th problems all over [Jochen Cammin s ATLAS thesis] lots of space for new ideas by young people Example: q q VH, H b b and S/B backgrounds continuum Vb b: p T,bb > m H top pairs: jet veto qg Zg Z (b b) effectively 2 2 gg Zb b really 2 3 qg Zqb b really 2 4 ATLAS: σ/σ SM > 1.9 [ATLAS-CONF ] CMS: σ/σ SM > 2.5 [CMS-HIG-12-44]

23 Challenges in additional channels WBF production and jet veto tough VH limited by S/B t th problems all over [Jochen Cammin s ATLAS thesis] lots of space for new ideas by young people Example: q q VH, H b b and S/B backgrounds continuum Vb b: p T,bb > m H top pairs: jet veto qg Zg Z (b b) effectively 2 2 gg Zb b really 2 3 qg Zqb b really 2 4 ATLAS: σ/σ SM > 1.9 [ATLAS-CONF ] CMS: σ/σ SM > 2.5 [CMS-HIG-12-44] need to target boosted MC studies and tools [BDRS, Piquadio]

24 Anomalous assume Higgs is largely Standard Model additional higher-dimensional couplings L eff = αsv 8π [Hagiwara etal; Corbett, Eboli, Gonzales-Fraile, Gonzales-Garcia] f g Λ 2 (Φ Φ)G µνg µν + f WW Λ 2 Φ W µνw µν Φ + f W Λ 2 (DµΦ) W µν (D νφ) + f B Λ 2 (DµΦ) B µν (D νφ) + f WWW Λ 2 Tr(W µνw νρ W µ ρ ) + f b Λ 2 (Φ Φ)(Q 3 Φd R,3 ) + fτ Λ 2 (Φ Φ)(L 3 Φe R,3 ) plus e-w precision data and triple gauge couplings

25 Anomalous assume Higgs is largely Standard Model additional higher-dimensional couplings L eff = αsv 8π [Hagiwara etal; Corbett, Eboli, Gonzales-Fraile, Gonzales-Garcia] f g Λ 2 (Φ Φ)G µνg µν + f WW Λ 2 Φ W µνw µν Φ + f W Λ 2 (DµΦ) W µν (D νφ) + f B Λ 2 (DµΦ) B µν (D νφ) + f WWW Λ 2 Tr(W µνw νρ W µ ρ ) + f b Λ 2 (Φ Φ)(Q 3 Φd R,3 ) + fτ Λ 2 (Φ Φ)(L 3 Φe R,3 ) plus e-w precision data and triple gauge couplings

26 Anomalous assume Higgs is largely Standard Model additional higher-dimensional couplings L eff = αsv 8π [Hagiwara etal; Corbett, Eboli, Gonzales-Fraile, Gonzales-Garcia] f g Λ 2 (Φ Φ)G µνg µν + f WW Λ 2 Φ W µνw µν Φ + f W Λ 2 (DµΦ) W µν (D νφ) + f B Λ 2 (DµΦ) B µν (D νφ) + f WWW Λ 2 Tr(W µνw νρ W µ ρ ) + f b Λ 2 (Φ Φ)(Q 3 Φd R,3 ) + fτ Λ 2 (Φ Φ)(L 3 Φe R,3 ) plus e-w precision data and triple gauge couplings remember what your operators are!

27 Consistent models beyond spin- WBF χ + χ + vs W + W + production problem with UV behavior for spin-1 [e.g. Alwall, TP, Rainwater] ) 2, jet 1 1/σ dσ/dδφ(jet SM W+W+ W +W + (quark partners) W +W + (only W Z ) ) 1 1/σ dσ/dp T (jet SM W+W+ W +W + (quark partners) W +W + (only W Z ) Δφ(jet, jet ) P T (jet ), GeV/c 1

28 Consistent models beyond spin- WBF χ + χ + vs W + W + production problem with UV behavior for spin-1 Energy dependent spin-2 couplings [e.g. Alwall, TP, Rainwater] unitarization affecting energy variables [Alboteanu, Kilian, Reuter] WBF cutoff p T,j < 1 GeV [Englert, Mawatari, Netto, TP] η jj η jj

29 Consistent models beyond spin- WBF χ + χ + vs W + W + production problem with UV behavior for spin-1 Energy dependent spin-2 couplings [e.g. Alwall, TP, Rainwater] unitarization affecting energy variables [Alboteanu, Kilian, Reuter] WBF cutoff p T,j < 1 GeV [Englert, Mawatari, Netto, TP] Gottfried-Jackson or similar angles [ˆp X,lab vs ˆp d,x ; Frank, Rauch, Zeppenfeld; Schumacher] cosθ GJ cosθ GJ

30 Consistent models beyond spin- WBF χ + χ + vs W + W + production problem with UV behavior for spin-1 Energy dependent spin-2 couplings [e.g. Alwall, TP, Rainwater] unitarization affecting energy variables [Alboteanu, Kilian, Reuter] WBF cutoff p T,j < 1 GeV [Englert, Mawatari, Netto, TP] Gottfried-Jackson or similar angles [ˆp X,lab vs ˆp d,x ; Frank, Rauch, Zeppenfeld; Schumacher] solvable issues beyond spin-

31 Outlook discovery an amazing experimental success weakly interacting field theory established coupling measurements established do not listen too much to theorists, for now straightforward additional channels will make the difference [where are the great papers by youngsters??] Higgs moved on from discovery to precision studies Part of this work was funded by the BMBF Theorie-Verbund which is ideal for hard and relevant LHC work

32 Theory games Light Higgs as a Goldstone boson [Giudice, Grojean, Pomarol, Rattazzi] strongly interacting models predicting heavy broad resonance(s) light state if protected by Goldstone s theorem [Georgi & Kaplan] interesting if v f < 4πf [little Higgs v g 2 f /(2π)]

33 Theory games Light Higgs as a Goldstone boson [Giudice, Grojean, Pomarol, Rattazzi] strongly interacting models predicting heavy broad resonance(s) light state if protected by Goldstone s theorem [Georgi & Kaplan] interesting if v f < 4πf [little Higgs v g 2 f /(2π)] postulate new f v and m ρ 4πf [c j 1] [assume custodial symmetry] L SILH = c ( ) ( ) H 2f 2 µ H H µ H H + c ( T H ) ( D µ H H ) D µh 2f 2 c ( ) ( ) 6λ H 3 cy y f H + f 2 f 2 H H f L Hf R + h.c. + ic W g ( H σ i ) D µ H (D ν W µν) i + ic Bg ( H ) D µ H ( ν B µν) 2mρ 2 2mρ 2 + ic HW g 16π 2 f 2 (Dµ H) σ i (D ν H)W i µν + ic HBg 16π 2 f 2 (Dµ H) (D ν H)B µν + cγg 2 g 2 H HB µνb µν + cgg2 S y 2 t H HG a 16π 2 f 2 gρ 2 16π 2 f 2 gρ 2 µν Gaµν.

34 Theory games Light Higgs as a Goldstone boson [Giudice, Grojean, Pomarol, Rattazzi] strongly interacting models predicting heavy broad resonance(s) light state if protected by Goldstone s theorem [Georgi & Kaplan] interesting if v f < 4πf [little Higgs v g 2 f /(2π)] postulate new f v and m ρ 4πf [c j 1] [assume custodial symmetry] adding D6 weak operators with relative strength L SILH c ( ) ( ) H f 2 µ H H µ H H + c ( T f 2 ) ( 3 cy y f + c 6 (3f ) 2 ( H H + ic W (16f ) 2 ( H σ i D µ H H ) ( D µ H ) H ) D µh f 2 H H f L Hf R + h.c. ) (D ν W µν) i + ic ( B H D µ H (16f ) 2 ) ( ν B µν) + ic HW (16f ) 2 (Dµ H) σ i (D ν H)W i µν + ic HB (16f 2 ) (Dµ H) (D ν H)B µν + cγ (256f ) 2 H HB µνb µν + cg (256f ) 2 H HG a µν Gaµν.

35 Theory games Light Higgs as a Goldstone boson [Giudice, Grojean, Pomarol, Rattazzi] strongly interacting models predicting heavy broad resonance(s) light state if protected by Goldstone s theorem [Georgi & Kaplan] interesting if v f < 4πf [little Higgs v g 2 f /(2π)] postulate new f v and m ρ 4πf [c j 1] [assume custodial symmetry] adding D6 weak operators with relative strength L SILH c ( ) ( ) H f 2 µ H H µ H H + c ( T f 2 ) ( 3 cy y f + c 6 (3f ) 2 ( H H + ic W (16f ) 2 ( H σ i D µ H H ) ( D µ H ) H ) D µh f 2 H H f L Hf R + h.c. ) (D ν W µν) i + ic ( B H D µ H (16f ) 2 ) ( ν B µν) + ic HW (16f ) 2 (Dµ H) σ i (D ν H)W i µν + ic HB (16f 2 ) (Dµ H) (D ν H)B µν + cγ (256f ) 2 H HB µνb µν + cg (256f ) 2 H HG a µν Gaµν. leading terms in wave function renormalization and H n collider phenomenology of mostly (H H) terms [Mühlleitner etal]

36 Uncertainties SFitter details [Dührssen, Klute, Lafaye, TP, Rauch, Zerwas] production decay S + B B S S (exp) S (theo) gg H ZZ ( 5) qqh ZZ 1..2 ( 5) gg H WW ( 1) qqh WW ( 1) t th WW (3l) ( 1) t th WW (2l) ( 1) inclusive γγ ( 1) qqh γγ ( 1) t th γγ ( 1) WH γγ ( 1) ZH γγ ( 1) qqh ττ(2l) ( 2) qqh ττ(1l) ( 2) t th b b ( 1) WH/ZH b b ( 1) luminosity measurement 5 % detector efficiency 2 % lepton reconstruction efficiency 2 % photon reconstruction efficiency 2 % WBF tag-jets / jet-veto efficiency 5 % b-tagging efficiency 3 % τ-tagging efficiency (hadronic decay) 3 % lepton isolation efficiency (H 4l) 3 % B (syst) corr. H ZZ 1% yes H WW 5% no H γγ.1% yes H ττ 5% yes H b b 1% no plus: t th with S S/2 and ZH subjet analysis a la Piquadio

37 Fox-Wolfram moments Series in spherical harmonics [Field, Kanev, Tayebnejad; Bernaciak, Buschmann, Butter, TP] originally alternative to event shapes H T l = 4π l N Y m l 2l + 1 (Ω i ) p 2 T,i N p T,i p T,j = p m= l i=1 T,tot p 2 P l (cos Ω ij ), i,j=1 T,tot defined on separated jets for a start H 1 H Ω[π] r Ω[π] r H 5 H Ω[π] r Ω[π] r H l <.3.3 < H l <.7.7 < H l < 1 even l forbidden democratic ordered, collinear, back-to-back odd l back-to-back democratic collinear, ordered

38 Fox-Wolfram moments Series in spherical harmonics [Field, Kanev, Tayebnejad; Bernaciak, Buschmann, Butter, TP] originally alternative to event shapes H T l = 4π l N Y m l 2l + 1 (Ω i ) p 2 T,i N p T,i p T,j = p m= l i=1 T,tot p 2 P l (cos Ω ij ), i,j=1 T,tot defined on separated jets for a start applied to tagging jets in WBF [m jj > 6 GeV] N 1 dn T dh N 1 dn T dh N 1 dn T dh T 1 H T H T 1 H 8

39 Fox-Wolfram moments Series in spherical harmonics [Field, Kanev, Tayebnejad; Bernaciak, Buschmann, Butter, TP] originally alternative to event shapes H T l = 4π l N Y m l 2l + 1 (Ω i ) p 2 T,i N p T,i p T,j = p m= l i=1 T,tot p 2 P l (cos Ω ij ), i,j=1 T,tot defined on separated jets for a start applied to tagging jets in WBF [m jj > 6 GeV] applied to all jets in WBF N 1 dn T dh N 1 dn T dh N 1 dn T dh T H T H T H 1 8

40 Fox-Wolfram moments Series in spherical harmonics [Field, Kanev, Tayebnejad; Bernaciak, Buschmann, Butter, TP] originally alternative to event shapes H T l = 4π l N Y m l 2l + 1 (Ω i ) p 2 T,i N p T,i p T,j = p m= l i=1 T,tot p 2 P l (cos Ω ij ), i,j=1 T,tot defined on separated jets for a start applied to tagging jets in WBF [m jj > 6 GeV] applied to all jets in WBF applied to all jets after WBF cuts.2.1 N 1 dn T dh N 1 dn T dh N 1 dn T dh T 1 H T 1 H T H 1 8

41 Fox-Wolfram moments Series in spherical harmonics [Field, Kanev, Tayebnejad; Bernaciak, Buschmann, Butter, TP] originally alternative to event shapes H T l = 4π l N Y m l 2l + 1 (Ω i ) p 2 T,i N p T,i p T,j = p m= l i=1 T,tot p 2 P l (cos Ω ij ), i,j=1 T,tot defined on separated jets for a start applied to tagging jets in WBF [m jj > 6 GeV] applied to all jets in WBF applied to all jets after WBF cuts useful information left tuned resolution via variable l adjust weight factor? adjust objects entering FWMs? [not too correlated]

42 Fox-Wolfram moments Series in spherical harmonics [Field, Kanev, Tayebnejad; Bernaciak, Buschmann, Butter, TP] originally alternative to event shapes H T l = 4π l N Y m l 2l + 1 (Ω i ) p 2 T,i N p T,i p T,j = p m= l i=1 T,tot p 2 P l (cos Ω ij ), i,j=1 T,tot defined on separated jets for a start applied to tagging jets in WBF [m jj > 6 GeV] applied to all jets in WBF applied to all jets after WBF cuts useful information left tuned resolution via variable l adjust weight factor? adjust objects entering FWMs? might be useful eventually [not too correlated]

43