XIN LIU ( 劉新 )

Collaborated with Wei Wang and Yuehong Xie

Department of Physics, Jiangsu Normal University

liuxin@jsnu.edu.cn

17th Sep., 2014@IoP(AS)

decays and penguin pollution on the extraction of mixing phase

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Outline

Motivation

Summary

Numerical results and discussions

decays in pQCD approach

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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

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Phys. Rev. D 87, 112010 (2013)

Phys. Rev. D 84, 033005 (2011)

In SM, the non-vanishing phase in (bs) triangle is related to the Bs-\bar Bs mixing phase. For for example,

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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

J. High Energy Phys. 0703, 009 (2007) ， Li and Mishima

Phys. Rev. D 86, 011501 (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

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

2. decays in pQCD approach

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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

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The decay amplitude for B \to J/psi V mode is given as

Phys. Rev. D 65, 094023 (2002), Cheng, Keum, and Yang

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Input quantities Phys. Rev. D 86, 010001 (2012), J. Beringer et al. [PDG]

masses and B meson lifetimes

CKM matrix elements -Wolfenstein parameterization with updated parameters

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3. Numerical results and discussions

theoretical predictions

A. CP-averaged branching ratios for transitions

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experimental measurements

Phys. Rev. D 86, 010001 (2012), J. Beringer et al. [PDG]

Phys. Rev. D 71, 114008 (2005), Chen and Li

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theoretical predictions

for transitions

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experimental measurements

Phys. Rev. D 86, 010001 (2012), J. Beringer et al. [PDG]

Phys. Rev. D 86, 071102 (2012), R. Aaij et al. [LHCb]

Nucl.Phys. B 867, 547 (2013), R. Aaij et al. [LHCb]

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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

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Data from LHCb Collaboration

Data from CDF Collaboration

Phys. Rev. D 86, 071102 (2012), R. Aaij et al. [LHCb]

Phys. Rev. D 83, 052012 (2011), T. Aaltenon et al. [CDF]

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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

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B. CP-averaged polarization fractions

decay amplitudes in transversity basis

definitions of polarization fractions

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for decays,

Data from latest measurement

Phys. Rev. D 88, 052002 (2013), R. Aaij et al. [LHCb]

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for mode,

Data from very recent measurement

Phys. Rev. Lett. 108, 101803 (2012), R. Aaij et al. [LHCb]

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for mode,

Data from very recent measurement

Phys. Rev. D 86, 071102 (2012), R. Aaij et al. [LHCb]

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for decays,

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for mode,

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C. Direct CP-violating asymmetries definitions:

direct CP violations:

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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, 014005 (2009), Faller, Fleischer, and Mannel

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With factorizable contributions and vertex corrections, the results are

The addition of hard-scattering diagrams gives

Without them, the results should be

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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,

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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.

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Thank you very much!Thank you very much!

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BACKUP SLIDESBACKUP SLIDES

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