X IN L IU ( 劉新 ) Collaborated with Wei Wang and Yuehong Xie Department of Physics, Jiangsu Normal University 17 th Sep., decays and penguin pollution on the extraction of mixing phase

2 Outline  Motivation  Summary  Numerical results and discussions  decays in pQCD approach

3 1. Motivation In SM, the source of CP violation arises from the non-vanishing complex phase in CKM matrix which governs the quark mixing. Wolfenstein parameterization

4 Phys. Rev. D 87, (2013) Phys. Rev. D 84, (2011) In SM, the non-vanishing phase in (bs) triangle is related to the Bs-\bar Bs mixing phase. For for example,

5 Theoretically, though intuitively penguin contribution is expected to be small in the SM, a complete and reliable estimate of its effects by some QCD-inspired approach is not yet available. Phys. Rev. D 71, (2005), Chen and Li J. High Energy Phys. 0703, 009 (2007) ， Li and Mishima Phys. Rev. D 86, (2012) ， Liu, Li, and Xiao Chin. Phys. C 34, 937 (2010), Liu, Zhang, and Xiao The pQCD approach has been adopted to investigate some modes and estimate the penguin contribution to in

6 Typical Feynman diagrams contributing to the considered decays at leading order in the pQCD approach 2. decays in pQCD approach

7 Typical Feynman diagrams contributing to the considered decays known at next-to-leading order level: Vertex corrections Phys. Rev. D 65, (2002), Cheng, Keum, and Yang

8 The decay amplitude for B \to J/psi V mode is given as Phys. Rev. D 65, (2002), Cheng, Keum, and Yang

9 Input quantities Phys. Rev. D 86, (2012), J. Beringer et al. [PDG] masses and B meson lifetimes CKM matrix elements -Wolfenstein parameterization with updated parameters

10 3. Numerical results and discussions theoretical predictions A. CP-averaged branching ratios  for transitions

11 experimental measurements Phys. Rev. D 86, (2012), J. Beringer et al. [PDG] Phys. Rev. D 71, (2005), Chen and Li

12 theoretical predictions  for transitions

13 experimental measurements Phys. Rev. D 86, (2012), J. Beringer et al. [PDG] Phys. Rev. D 86, (2012), R. Aaij et al. [LHCb] Nucl.Phys. B 867, 547 (2013), R. Aaij et al. [LHCb]

14  Most of pQCD predictions up to NLO precision agree well with the existing experimental measurements within uncertainties  BR(b \to s transition) are generally much larger than BR(b \to d transition) — CKM hierarchy  Some interesting ratios: Nucl.Phys. B 867, 547 (2013), R. Aaij et al. [LHCb] Data from LHCb Collaboration

15 Data from LHCb Collaboration Data from CDF Collaboration Phys. Rev. D 86, (2012), R. Aaij et al. [LHCb] Phys. Rev. D 83, (2011), T. Aaltenon et al. [CDF]

16 Derived from the available data Phys. Rev. D 86, (2012), R. Aaij et al. [LHCb] Phys. Rev. D 86, (2012), J. Beringer et al. [PDG] Derived from the available data

17 B. CP-averaged polarization fractions  decay amplitudes in transversity basis  definitions of polarization fractions

18  for decays, Data from latest measurement Phys. Rev. D 88, (2013), R. Aaij et al. [LHCb]

19  for mode, Data from very recent measurement Phys. Rev. Lett. 108, (2012), R. Aaij et al. [LHCb]

20  for mode, Data from very recent measurement Phys. Rev. D 86, (2012), R. Aaij et al. [LHCb]

21  for decays,

22  for mode,

23 C. Direct CP-violating asymmetries  definitions:  direct CP violations:

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26 D. Impact of penguin contamination  Based on the encouraging agreements between theoretical calculations and available data, the penguin impacts on the mixing phase in decay are investigated. Phys. Rev. D 79, (2009), Faller, Fleischer, and Mannel

27  With factorizable contributions and vertex corrections, the results are  The addition of hard-scattering diagrams gives  Without them, the results should be

28  the deviation of from the is found to be of in the standard model with the pQCD approach + the known NLO contributions, specifically, vertex corrections.  This finding can be stringently examined in LHCb and SuperB experiments and may provide an important reference for verifying the existing new physics from the data.  the quantity is extracted in three polarizations from our pQCD numerical evaluations,

29 4. Summary  Today, we are in the era with precision measurements in the heavy flavor sector. The successful CKM mechanism has continued to motivate more precise tests on flavor physics and CP violation.  We systematically studied the physical observables such as BRs, PFs, CPV etc. in the decays by employing the pQCD approach with inclusion of the known NLO corrections.  Based on the global agreement, we discussed the penguin contributions to in mode and found the results shifted by 10 -3, which can be examined by the future experiments.

30 Thank you very much!

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