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EDM constraint on NP associated with BEH boson

EDM constraint on NP associated with BEH boson. Fanrong Xu ( 徐繁荣 ). National Taiwan University. Nov. 8, 2013 @ AS. 0. Introduction. Introduction. “ Discovery” of Higgs Boson rated year’s top scientific achievement of 2012. The life of Higgs. Decay . Production .

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EDM constraint on NP associated with BEH boson

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  1. EDM constraint on NP associated with BEH boson Fanrong Xu (徐繁荣) National Taiwan University Nov. 8, 2013 @ AS

  2. 0 Introduction GHO @ AS,2013/11/08

  3. Introduction • “Discovery” of Higgs Boson rated year’s top scientific achievement of 2012. GHO @ AS,2013/11/08

  4. The life of Higgs Decay Production GHO @ AS,2013/11/08

  5. The discovery @ LHC • Signal Strength • ICHEP2012, summer 2012 • HCP2012, winter 2012 Higgs XSWG Once upon a time, there was a hot word called “h-gamma-gamma”… GHO @ AS,2013/11/08

  6. The discovery @ LHC • Moriond 2013 EW excess or fluctuation? • What could be hidden in current data: NP or SM? QCD GHO @ AS,2013/11/08

  7. The discovery @ LHC • EPS-HEP 2013 • LS1 GHO @ AS,2013/11/08

  8. Further Identification • Spin and CP J. Bendavid, EPS-HEP 2013 excludes hypothesis at no significant discrimination yet D. Schaefer, EPS-HEP 2013 • More data is required for accurate analysis of spin and CP! • What information of spin and CP can be digged out from current data? GHO @ AS,2013/11/08

  9. NP GHO @ AS,2013/11/08

  10. Byproduct: Cutoff Scale • Mass scale of exotic degrees of freedom: (0.4~8) TeV(cutoff) CMS@ICHEP2012 ATLAS@HCP2012 • Can we get a hint for the NP scale? GHO @ AS,2013/11/08

  11. Strategy EDM+(g-2) SM+NP EFT Based on We-Fu Chang, Wei-Ping Pan and FX, PRD 88,033004 (2013). GHO @ AS,2013/11/08

  12. 1 Gauge-Higgs Operators GHO @ AS,2013/11/08

  13. Effective Theory • Bottom-up approach: SM is the low energy effective theory; The full Lagrangian can be expanded by (1/cutoff) • There are limited (59) gauge invariant independent dimension-6 operators GIMR, JHEP10 (2010)085; BW, NPB268 (1986) 621. GHO @ AS,2013/11/08

  14. Effective Theory GHO @ AS,2013/11/08

  15. Effective Operators • Motivated by diphoton excess and DOF(s) beyond SM, we assume New Physics can be captured by the effective gauge-Higgs operators • These operators form a subset, the other 3 gauge-Higgs operators are strictly constrained by EW precision tests. • The RG running effect will not be involved in this work. Oblique correction: S • Manohar, Wise; • X. Zhang, B.-L. Young; McKenn,Pospelov,Ritz …… QCD theta term GJMT, 1301.2588; MEMP,1302.5661 GHO @ AS,2013/11/08

  16. Effective interactions • CP even/odd tree level h-V-V’ interaction is brought in • Also anomalous gauge coupling is introduced CP-even CP-odd Form factors Effective coupling : the combination of WCs Anomalous coupling SM-like GHO @ AS,2013/11/08

  17. 2 Higgs Physics GHO @ AS,2013/11/08

  18. Production and decay • Signal strength: co-determined by both production and decay Error source: PDF + Higgs XSWG GHO @ AS,2013/11/08

  19. Modification @ loop level • diphoton decay: • production: gluon fusion dominates • unmeasured decay channel: CP-even CP-odd GHO @ AS,2013/11/08

  20. Modification @ tree level • The tree level decay SM contribution is contained in CP-even part, phase space integral of 3-body decay needs to be treated. • Assumptions • All the final state fermions are summed up • All the fermions are massless CP-odd CP-even GHO @ AS,2013/11/08

  21. Numerical Analysis • Numerical expressions at cutoff 1TeV The story of 6 parameters • Rescaling: GHO @ AS,2013/11/08

  22. Pseudo global fit • Input experimental data (up to Moriond 2013) • 68 % C.L. correlation among alpha’s: • Current LHC data agrees with SM; • Larger GF production  smaller Higgs decay width GHO @ AS,2013/11/08

  23. Constraint on Wilson coefficients • 95 % C.L. correlation among Wilson coefficients: SM: LHC: • Both CP-even and CP-odd Wilson coefficients have a boundary • CP-even Wilson coefficients are well constrained, a few • Constraints on CP-odd sector are poor, • There is still allowance for NP, from SM theoretical errors. GHO @ AS,2013/11/08

  24. Constraint on Effective couplings • The constraints on Wilson coefficients can be translated to constraints on effective coupling SM LHC • The effective coupling can be obtained after a coordinate rotation from WCs. • This coupling strength is checkable by different groups. GHO @ AS,2013/11/08

  25. Prediction • The relation between ZZ and WW: SM LHC • The boundary of decay width ratio and signal is obvious • A linear relation of signal strength between WW and ZZ is found GHO @ AS,2013/11/08

  26. 3 EDM, MDM GHO @ AS,2013/11/08

  27. EDM • EDM and MDM have different CP property • nEDM in SM GHO @ AS,2013/11/08

  28. EDM • Current nEDM • Current eEDM UK US ACME collaboration, 1310.7534 GHO @ AS,2013/11/08

  29. AMDM • AMDM: the SM deviation from experimental measurement provides a room for NP • SM calculation: • Measurement: • muon: muon(g-2) col., 2006 • electron: Hannekeet. al., PRA2011 Aoyama-Hayakawa-Kinoshita., 2007 2-loop Less known HVP LBL 3 1.3 but error could be reduced GHO @ Nankai U.,2013/09/22

  30. EDM and AMDM in EFT • One loop EDM and g-2 can be generated due to the effective operators McKeen-Pospelov-Ritz, PRD86, 113004 (2012) CP-odd (EDM); CP-even (g-2) GHO @ AS,2013/11/08

  31. Constraint on CP-odd sector • Neutron and electron EDM upper bound provides a constraint on 3D space. • Project to 2D plane by setting the third parameter in a certain region, • But the combination of EDM and Higgs can largely reduce allowed region EDM constrain parameter on a long and narrow band Higgs best fit GHO @ AS,2013/11/08

  32. Constraint on CP-even sector • With a best fit of muon and electron g-2, a linear relation is obtained • g-2, giving another band with different slope from Higgs constraint, helps to further determine parameter space of CP-even sector. g-2 Higgs best fit GHO @ AS,2013/11/08

  33. A global constraint on WCs • Take into account all the above experiments, we can get a limited region in Wilson coefficient space. • CP-odd sector are severely constrained, reduced to order of 1, which also gives an indication for NP models. GHO @ AS,2013/11/08

  34. Constraints on effective coupling • The constraints on Wilson coefficients can be translated to constraints on effective coupling SM LHC • The stringent constraint on the CP-odd sector, O(100)O(1), is because of EDM. • g-2 does not improve the constraint on CP-even sector too much. GHO @ AS,2013/11/08

  35. Prediction • The relation between ZZ and WW: • The interesting relation between WW/ZZ and AZ SM LHC • But hard to detect GHO @ AS,2013/11/08

  36. 4 Discussion GHO @ AS,2013/11/08

  37. 1. Discriminate c3 • In the presence of effective operators, we have • One way to discriminate the degenerate solutions is by Higgs pair production in future LHC experiments. • The solution will bring a large deviation from SM, and would be easily checked (ruled out) by future experiments. GHO @ AS,2013/11/08

  38. 2. Wise-Manohar Model • Wise-Manohar model: color-octet scalar • Custodial symmetry leads to and • The physical CPV phase appears in potential, could it be the source of CP-odd operators? WM, PRD’06; HVY,JHEP’11 …… GHO @ AS,2013/11/08

  39. 2. Wise-Manohar Model • The mechanism to generate effective operators • From a naïve dimensional analysis, constraints on model parameters can be obtained from current LHC data • CP-even operators can be generated at 1-loop level; • CP-odd operators cannot be generated purely from potential. CP-even CP-odd a complement to WM model GHO @ AS,2013/11/08

  40. 2’. Another UV-complete model • The mechanism to generate effective operators • Such a toy model • CP-even operators can be generated at 1-loop level; • CP-odd operators can be produced by adding CP-violating Yukawa interaction. CP-even CP-odd GHO @ AS,2013/11/08 Chang, Pan and Xu, work in progress

  41. 3. Prediction for CPV decays • CP violation fraction • A not very predictive prediction (hard to analyze CP for photon) • The CPV fraction in WW/ZZ mode is small • There could be large CPV component in gamma-gamma/gamma-Z mode GHO @ AS,2013/11/08

  42. 5 Summary GHO @ AS,2013/11/08

  43. Summary • We have provided an EFT approach to 125 GeV Higgs boson, and find even all Higgs decay channels agree with SM predictions, SM theoretical uncertainty still provides a room for NP. • From current LHC data we have got a global constraint of Wilson coefficients, which indicates NP models, a toy model is constructed as a typical example. • From current LHC data, we find a linear relation between WW and ZZ, and get the limits of signal strength for different di-boson decay modes. • When EDM and AMDM are taken into account, CP-odd operators are constrained severely. An interesting relation between ZZ(WW) and gammaZ is predicted. • The potentially interesting CPV fraction in diphoton and gammaZ mode is pointed out. • We also provide a way to discriminate a degenerated solution of c3. GHO @ AS,2013/11/08

  44. 谢谢

  45. Backup: Another toy model • Color 27-plet scalar + two vector-like fermion • Scalar potential is same as color octet model • The typical diagrams for generating CP-odd gauge-Higgs operators GHO @ AS,2013/11/08

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