Single Higgs production at LHC as a probe for an anomalous Higgs self coupling

Transcription

1 Sinle is producion a LC as a probe for an anomalous is self couplin Pier Paolo Giardino Brookhaven Naional Laboraory ICEP 2016, Chicao Based on arxiv: [hep-ph]; Giuseppe Derassi, P.P.G, Fabio Maloni, Davide Paani.

2 Framework V ( )= µ 2 + ( ) 2 quanumdiaries.com V () = 1 2 M M 2 2v 3 + M 2 8v 2 4 2

3 Framework V ( )= µ 2 + ( ) 2 quanumdiaries.com V () = 1 2 M M 2 2v 3 + M 2 8v 2 4 The self couplins are fixed once he is mass and he vev are known. 2

4 Framework V ( )= µ 2 + ( ) 2 quanumdiaries.com V () = 1 2 M M 2 2v 3 + M 2 8v 2 4 The self couplins are fixed once he is mass and he vev are known. Trilinear couplin can be invesiaed a LC from is Pair Producion. 2

5 Framework V ( )= µ 2 + ( ) 2 quanumdiaries.com V () = 1 2 M M 2 2v 3 + M 2 8v 2 4 The self couplins are fixed once he is mass and he vev are known. Trilinear couplin can be invesiaed a LC from is Pair Producion. The quaric couplin will no be measured a LC nor a ILC/CLIC. 2

6 Framework V ( )= µ 2 + ( ) 2 quanumdiaries.com V () = 1 2 M M 2 2v 3 + M 2 8v 2 4 The self couplins are fixed once he is mass and he vev are known. Trilinear couplin can be invesiaed a LC from is Pair Producion. The quaric couplin will no be measured a LC nor a ILC/CLIC. ow can we exclude an anomalous rilinear? (maybe wih he wron sin) 2

7 is Pair Producion Very small Cross Secion. eavier final sae. Addiional weak couplin. A leas one is ino booms.! 50 pb (13 TeV)! 35 fb (13 TeV) Assumin no chane in he oher is couplins, ATLAS and CMS a 8 TeV exclude he reions arxiv: ; arxiv: ; arxiv: ( 1, 12] [ [17, 1) ( 1, 17.5] [ [22.5, 1) A 3000 fb -1 he exclusion reion should be ( 1, 1.3] [ [8.7, 1) ATL-PYS-PUB ; ATL-PYS-PUB

8 Sinle is The rilinear appears a NLO in Sinle is processes. V V V V 4

9 Sinle is The rilinear appears a NLO in Sinle is processes. The modificaion of he rilinear could be described in a κ-framework V 3 = 3 v 3 apple SM 3 v 3 V V V V For similar ideas: M. McCullouh Phys. Rev. D90 (2014), no M. Gorbahn and U. aisch, arxiv: [hep-ph]; 4

10 Sinle is The rilinear appears a NLO in Sinle is processes. The modificaion of he rilinear could be described in a κ-framework V 3 = 3 v 3 apple SM 3 v 3 V V V V Due o he presence of differen Loop srucures hese conribuions canno be capured by a local rescalin. For similar ideas: M. McCullouh Phys. Rev. D90 (2014), no M. Gorbahn and U. aisch, arxiv: [hep-ph]; 4

11 C1 coefficiens NLO = Z LO (1 + apple C 1 ) 5

12 C1 coefficiens Conains QCD correcions NLO = Z LO (1 + apple C 1 ) 5

13 C1 coefficiens Conains QCD correcions Depends on he process NLO = Z LO (1 + apple C 1 ) 5

14 C1 coefficiens Conains QCD correcions Depends on he process NLO = Z LO (1 + apple C 1 ) is wave funcion renormalizaion 5

15 C1 coefficiens Conains QCD correcions Depends on he process NLO = Z LO (1 + apple C 1 ) is wave funcion renormalizaion Z = 1 1 apple 2 Z 5

16 C1 coefficiens Conains QCD correcions Depends on he process NLO = Z LO (1 + apple C 1 ) is wave funcion renormalizaion Z = 1 1 apple 2 Z The rane of validiy of our calculaion is apple. 20 5

17 C1 coefficiens Conains QCD correcions Depends on he process NLO = Z LO (1 + apple C 1 ) is wave funcion renormalizaion Z = 1 1 apple 2 Z The rane of validiy of our calculaion is apple. 20 C 1 = R 2<(M 0 M 1 SM) 3 R M0 2 5

18 C1 coefficiens Conains QCD correcions Depends on he process NLO = Z LO (1 + apple C 1 ) is wave funcion renormalizaion Z = 1 1 apple 2 Z The rane of validiy of our calculaion is apple. 20 Ineraion over Phase space, convoluion wih PDF, sum over iniial saes. C 1 = R 2<(M 0 M 1 SM) 3 R M0 2 5

19 C1 coefficiens Conains QCD correcions Depends on he process NLO = Z LO (1 + apple C 1 ) is wave funcion renormalizaion Z = 1 1 apple 2 Z The rane of validiy of our calculaion is apple. 20 Ineraion over Phase space, convoluion wih PDF, sum over iniial saes. C 1 = R 2<(M 0 M 1 SM) 3 R M0 2 5 Ampliudes eneraed by FeynArs, compued by FormCalc inerfaced o Loop-Tools, checked wih FeynCalc.

20 C1 coefficiens: 2 Loops 6

21 6 σ( ) and Γ( ) are more challenin. C1 coefficiens: 2 Loops

22 C1 coefficiens: 2 Loops σ( ) and Γ( ) are more challenin. e compued he correcion wih an asympoic expansion in lare op mass. 6

23 6 σ( ) and Γ( ) are more challenin. The idenificaion of he conribuion o C 1 is less sraihforward since λ appears also in diarams involvin Goldsone bosons. C1 coefficiens: 2 Loops

24 6 σ( ) and Γ( ) are more challenin. The idenificaion of he conribuion o C 1 is less sraihforward since λ appears also in diarams involvin Goldsone bosons. e used he uniary aue. e checked he complee resul wih he lieraure C1 coefficiens: 2 Loops

25 C1 coefficiens: 2 Loops σ( ) and Γ( ) are more challenin. The idenificaion of he conribuion o C 1 is less sraihforward since λ appears also in diarams involvin Goldsone bosons. e used he uniary aue. e checked he complee resul wih he lieraure The correcions were compued wih a Taylor expansion for small momenum. 6

26 6 σ( ) and Γ( ) are more challenin. Plus Top conribuions (obained from ) The idenificaion of he conribuion o C 1 is less sraihforward since λ appears also in diarams involvin Goldsone bosons. e used he uniary aue. e checked he complee resul wih he lieraure The correcions were compued wih a Taylor expansion for small momenum. C1 coefficiens: 2 Loops

27 Resuls: σ C 1 [%] F VBF Z 8 TeV TeV ds k l ds F VBF Z k l -2-4 F VBF Z 7

28 Resuls: σ C 1 [%] F VBF Z 8 TeV TeV ds k l ds F VBF Z F VBF Z -4 k l receives sizeable posiive correcions. All he oher receive very small posiive correcions 7

29 Resuls: σ C 1 [%] F VBF Z 8 TeV TeV ds k l ds F VBF Z F VBF Z -4 k l receives sizeable posiive correcions. All he oher receive very small posiive correcions ere δσ λ is he same of he SM (κ λ =1) 7

30 Resuls: BR dg k l C 1 [%] ZZ f f on-shell ff ZZ k l ff ZZ 8

31 Resuls: BR dg k l C 1 [%] ZZ f f on-shell ff ZZ ff -5 k l The correcions o BR are smaller han he ones o he Γ. -10 ZZ 8

32 Resuls: BR dg k l C 1 [%] ZZ f f on-shell ff ZZ ff -5 ZZ -10 k l The correcions o BR are smaller han he ones o he Γ. owever he (posiive) δbr are usually larer han he δσ. 1 ) BR 3 (i) = (apple 1)(C 1 (i) C o 1+(apple 1)C1 o 8 In oher words, in he rane close o he SM, he decays are more sensiive o κ λ han he producion processes.

33 Resuls: σ BR apple = apple = VBF Z ZZ ff VBF Z ZZ ff apple = VBF Z 0.96 ZZ ff All he available Sinle is processes depend on he sinle Parameer κ λ. So in principle a lobal fi can be very powerful in consrainin he is rilinear couplin. 9

34 Consrains on λ: presen 2 (apple ) X µ f i (µ f i (apple ) µf i )2 ( (apple )) 2 10

35 Consrains on λ: presen 2 (apple ) X µ f i (µ f i (apple ) µf i )2 ( (apple )) 2 In his fi we consider differen scenarios. Daa from arxiv: ATLAS-CMS 8 TeV daa combinaion 10

36 Consrains on λ: presen Dc 2 2 (apple ) X µ f i (µ f i (apple ) µf i )2 ( (apple )) 2 In his fi we consider differen scenarios F F+VBF F+VBF+V F+VBF+V+ Daa from arxiv: ATLAS-CMS 8 TeV daa combinaion k l For F+VBF: apple 1 =[ 5.65, 11.21] apple bes = 0.24 apple 2 =[ 9.43, 16.97] 10

37 Consrains on λ: presen Dc 2 2 (apple ) X µ f i (µ f i (apple ) µf i )2 ( (apple )) 2 In his fi we consider differen scenarios F F+VBF F+VBF+V F+VBF+V+ Daa from arxiv: ATLAS-CMS 8 TeV daa combinaion k l p-value 1.0 F F+VBF 0.8 F+VBF+V F+VBF+V k l apple 1 =[ 5.65, 11.21] 10 For F+VBF: apple bes = 0.24 apple 2 =[ 9.43, 16.97] Requirin p>0.05 we are able o exclude, a more han 2 σ, ha a model wih an anomalous couplin can explain he daa if apple < 14.26

38 Consrains on λ: fuure Usin he uncerainies presened in arxiv: , and assumin ha LC will measure SM, we can esimae he fuure capabiliies of LC. 11

39 Consrains on λ: fuure Dc 2 14 Usin he uncerainies presened in arxiv: , and assumin ha LC will measure SM, we can esimae he fuure capabiliies of LC. CMS-II 300 fb -1 CMS-L-II 3000 fb Dc k l CMS-II 300 fb -1 CMS-L-II 3000 fb For CMS-L-II 3000 fb -1 apple 1 =[ 0.75, 4.23] apple 2 =[ 1.99, 6.77] apple p>0.05 =[ 4.10, 9.77] k l 11

40 Consrains on λ: fuure A more reliable approach is o consider cenral values compaible wih SM. e produce a collecion of pseudo-measuremens randomly eneraed wih a aussian disribuion around he SM. 1L Mean=1.51, Med.=1.11 2L Mean=-0.27, Med.= L Mean=3.86, Med.=3.89 4L Mean=-1.72, Med.= L Mean=6.13, Med.= k l k l k l k l k l 6L Mean=-2.71, Med.= L Mean=7.73, Med.=8.13 8L Mean=4.13, Med.=3.68 9L Mean=7.85, Med.= L Mean=10.45, Med.= k l k l Dk l Dk l Dk l 1) bes values, 2) 1σ reion lower limi, 3) 1σ reion upper limi, 4) 2σ reion lower limi, 5) 2σ reion upper limi, 6) p > 0.05 reion lower limi, 7) p > 0.05 reion upper limi, 8) 1σ reion widh, 9) 2σ reion widh, 10) p > 0.05 reion widh. 12

41 Consrains on λ: fuure(?!?) Dc 2 An ineresin scenario is he one where he uncerainies are 1% for all he channels F F+VBF F+VBF+V F+VBF+V p-value F F+VBF F+VBF+V k l 0.6 F+VBF+V As expeced a precise measuremen of he would lead o a sizeable improvemen in he fi k l 13

42 Conclusions 14

43 Conclusions The is rilinear couplin can be invesiaed from sinle is processes. 14

44 Conclusions The is rilinear couplin can be invesiaed from sinle is processes. Compared o is pair producion, he bounds obained are compeiive and complemenary. 14

45 Conclusions The is rilinear couplin can be invesiaed from sinle is processes. Compared o is pair producion, he bounds obained are compeiive and complemenary. This approach is model dependen, 14

46 Conclusions The is rilinear couplin can be invesiaed from sinle is processes. Compared o is pair producion, he bounds obained are compeiive and complemenary. This approach is model dependen, however he condiion for he oher couplins o be SM can be lifed. 14

47 Conclusions The is rilinear couplin can be invesiaed from sinle is processes. Compared o is pair producion, he bounds obained are compeiive and complemenary. This approach is model dependen, however he condiion for he oher couplins o be SM can be lifed. The bies role is played by he op-op-is associaed producion. 14