X IN L IU ( 劉新 )

# X IN L IU ( 劉新 )

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## X IN L IU ( 劉新 )

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1. decays and penguin pollution on the extraction of mixing phase XIN LIU(劉新) liuxin@jsnu.edu.cn Department of Physics, Jiangsu Normal University Collaborated with Wei Wang and Yuehong Xie 17th Sep., 2014@IoP(AS)

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

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. In SM, the non-vanishing phase in (bs) triangle is related to the Bs-\bar Bs mixing phase. For for example, Phys. Rev. D 84, 033005 (2011) Phys. Rev. D 87, 112010 (2013)

5. The pQCD approach has been adopted to investigate some modes and estimate the penguin contribution to in • 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, 114008 (2005), Chen and Li Chin. Phys. C 34, 937 (2010), Liu, Zhang, and Xiao Phys. Rev. D 86, 011501 (2012)， Liu, Li, and Xiao J. High Energy Phys. 0703, 009 (2007)，Li and Mishima

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

7. Typical Feynman diagrams contributing to the considered decays known at next-to-leading order level:Vertex corrections Phys. Rev. D 65, 094023 (2002), Cheng, Keum, and Yang

8. The decay amplitude for B \to J/psi V mode is given as Phys. Rev. D 65, 094023 (2002), Cheng, Keum, and Yang

9. CKM matrix elements -Wolfenstein parameterization with updated parameters • Input quantities Phys. Rev. D 86, 010001 (2012), J. Beringer et al. [PDG] • masses and B meson lifetimes

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

11. Phys. Rev. D 71, 114008 (2005), Chen and Li • experimental measurements Phys. Rev. D 86, 010001 (2012), J. Beringer et al. [PDG]

12. for transitions • theoretical predictions

13. experimental measurements Phys. Rev. D 86, 010001 (2012), J. Beringer et al. [PDG] Nucl.Phys. B 867, 547 (2013), R. Aaij et al. [LHCb] Phys. Rev. D 86, 071102 (2012), 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: Data from LHCb Collaboration Nucl.Phys. B 867, 547 (2013), R. Aaij et al. [LHCb]

15. Data from LHCb Collaboration Phys. Rev. D 86, 071102 (2012), R. Aaij et al. [LHCb] Data from CDF Collaboration Phys. Rev. D 83, 052012 (2011), T. Aaltenon et al. [CDF]

16. Derived from the available data Phys. Rev. D 86, 071102 (2012), R. Aaij et al. [LHCb] Phys. Rev. D 86, 010001 (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, 052002 (2013), R. Aaij et al. [LHCb]

19. for mode, Data from very recent measurement Phys. Rev. Lett. 108, 101803 (2012), R. Aaij et al. [LHCb]

20. for mode, Data from very recent measurement Phys. Rev. D 86, 071102 (2012), R. Aaij et al. [LHCb]

21. for decays,

22. for mode,

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

24. Based on the encouraging agreements between theoretical calculations and available data, the penguin impacts on the mixing phase in decay are investigated. D. Impact of penguin contamination Phys. Rev. D 79, 014005 (2009), Faller, Fleischer, and Mannel

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

26. the quantity is extracted in three polarizations from our pQCD numerical evaluations, • 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.

27. 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. 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.

28. Thank you very much!

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