and ρkdecays : CP Violation and Implication for New Physics

Transcription

1 B πk, πk and ρkdecays : CP Violation and Implication for New Physics Based on: JHEP 0809 (2008) 038. 报告人 : 常钦 河南师范大学 & 华中师范大学 高能物理学会第八届全国代表大会 南昌大学

2 Outline Introduction Recalculation with dynamical gluon propagator The effects of new (pseudo-)scalar couplings Summary

3 Introduction 88 modes > 4σ

4 Puzzles in charmless B decays Polarization Puzzles ππ π K, Puzzles New phase in B s B s mixing JHEP 0706: 038, 2007 JHEP 0809: 038, 2008 JHEP 0905: 056, 2009 arxiv: [hep-ph] JHEP 1002: 082, 2010 FB Asymmetry in... B K µµ arxiv: [hep-ph] (accepted by JHEP) B πk, πk ρk and Decays : CP Violation and Implication for New Physics JHEP 0809 (2008) 038 Qin Chang, Xin-Qiang Li, Ya-Dong Yang These decays are correlated: increasing tension between Th. & Exp.

5 The measurements: Belle The difference: at 4.4 σ The average of BABAR, Belle, CDF & CLEO at 5.3 σ

6 The SM expectations: } Should be very close Theoretical predictions so far Nucl. Phys. B 675 (2003) 333 No difference! Phys. Rev. D 72 (2005) Phys. Rev. D 74 (2006)

7 Possible Implications The mismatch may be due to: Our current limited understanding of strong dynamics involved in hadronic B decays, say, strong phase Equally, new physics

8 Recalculation with dynamical gluon propagator Scheme I: Scheme II: We modify QCDf with dynamical gluon propagator supported by recent studies with Lattice QCD simulations, Schwinger-Dyson eq. J. M. Cornwall prescription: Phys. Rev. D 26 (1982) 1453; Phys. Rev. D 44 (1991) 1285;

9 Hard spectator scattering contributions Space-like Real

10 Annihilation contributions Time-like Imaginary

11 Typically, cancellations For space-like, it furnishes a cut-off For time-like, it crosses real states, therefore, strong phases

12 Results for Branching ratios 10 (-6)

13 The known ratios Our results Measurements So far, so good. However, CPA

14 Results for CPAs 10 (-2) Fine In sharp contrast to the Exp., i.e., we can not resolve the difference of CPA

15 So far, what we get: nice match for 12 branching ratios with ONE parameter bad match for one CPV πk puzzle still exists Suspect: New Physics?

16 The effects of (pseudo-)scalar couplings We explore new physics effects in a model independent way The general four-quark tensor operators (pseudo-)scalar operators i.e., scalar FCNCs In the scanning, all theoretical inputs and Exp. uncertainties are included

17 Constraints & Resolutions We subdivided this NP in five cases:

18 The fitted branching ratios: To leading order, and decays do not receive these NP contributions

19 The direct CP asymmetries: Only Br as inputs Case IV Theo. Exp.

20 NP parameters space

21 Numerical results Exotic! Color singlet dominated! Down type dominated! Nontrivial NP weak phase!

22 Prediction The mixing induced CPA in and insensitive to strong phase, more accurate in QCDF sensitive to New Physics (new weak phase) should be sin(2β)ψks in the SM

23 ( 10-2 ) ICHEP 08 Old data at that time } Now, HFAG 0.57± Compared with the new data, unexpected match!

24 Correlations: The correlations could be important to sign out new physics Need more accurate mixing-induced CP to confirm NP suspects

25 Summary The knowns of QCD from Lattice and SD should be incorporated into the approaches for B decays Dynamical gluon mass could, at least, furnish the natural regulator of end-point div. Correlated decays point to NP in the EW penguin sector (pseudo-)scalar couplings are helpful for resolving πk puzzle More accurate measurements,especially mixing-induced CPV, are also needed to confirm or refute the NP hints

26 Thank you for your attention!