A possible solution to the B → π π puzzle using the principle of maximum conformality

Qiao, Cong-Feng; Zhu, Rui-Lin; Wu, Xing-Gang; Brodsky, Stanley J.

doi:10.1016/j.physletb.2015.07.044

Title: A possible solution to the $B \to π π$ puzzle using the principle of maximum conformality

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Abstract

We measured the B_d→π⁰π⁰B_d→π⁰π⁰ branching fraction and found that it deviates significantly from conventional QCD predictions, a puzzle which has persisted for more than 10 years. This may be a hint of new physics beyond the Standard Model; however, as we shall show in this paper, the pQCD prediction is highly sensitive to the choice of the renormalization scales which enter the decay amplitude. In the present paper, we show that the renormalization scale uncertainties for B→ππB→ππ can be greatly reduced by applying the Principle of Maximum Conformality (PMC), and more precise predictions for CP-averaged branching ratios B(B→ππ)B(B→ππ) can be achieved. Combining the errors in quadrature, we obtain View the MathML sourceB(Bd→π⁰π⁰)|PMC=(0.98_-0.31^+0.44)×10^-6 by using the light-front holographic low-energy model for the running coupling. All of the CP-averaged B→ππB→ππ branching fractions predicted by the PMC are consistent with the Particle Data Group average values and the recent Belle data. Moreover, the PMC provides a possible solution for the B_d→π⁰π⁰B_d→π⁰π⁰ puzzle.

Authors:

Qiao, Cong-Feng; Zhu, Rui-Lin;

; Brodsky, Stanley J.

Publication Date:: Tue Sep 01 00:00:00 EDT 2015

Research Org.:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1209162

Alternate Identifier(s):: OSTI ID: 1236562

Grant/Contract Number:: AC02-76SF00515; 2015CB856703; 11275280; 11175249; 11375200; CDJZR305513

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 748 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

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                    Qiao, Cong-Feng, Zhu, Rui-Lin, Wu, Xing-Gang, and Brodsky, Stanley J. A possible solution to the B → π π puzzle using the principle of maximum conformality.  Netherlands: N. p., 2015. 
Web.  doi:10.1016/j.physletb.2015.07.044.

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                    Qiao, Cong-Feng, Zhu, Rui-Lin, Wu, Xing-Gang, & Brodsky, Stanley J. A possible solution to the B → π π puzzle using the principle of maximum conformality.  Netherlands.  https://doi.org/10.1016/j.physletb.2015.07.044

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                    Qiao, Cong-Feng, Zhu, Rui-Lin, Wu, Xing-Gang, and Brodsky, Stanley J. Tue .  
"A possible solution to the B → π π puzzle using the principle of maximum conformality".  Netherlands.  https://doi.org/10.1016/j.physletb.2015.07.044.

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@article{osti_1209162,

  title        = {A possible solution to the B → π π puzzle using the principle of maximum conformality},

  author       = {Qiao, Cong-Feng and Zhu, Rui-Lin and Wu, Xing-Gang and Brodsky, Stanley J.},

  abstractNote = {We measured the Bd→π0π0Bd→π0π0 branching fraction and found that it deviates significantly from conventional QCD predictions, a puzzle which has persisted for more than 10 years. This may be a hint of new physics beyond the Standard Model; however, as we shall show in this paper, the pQCD prediction is highly sensitive to the choice of the renormalization scales which enter the decay amplitude. In the present paper, we show that the renormalization scale uncertainties for B→ππB→ππ can be greatly reduced by applying the Principle of Maximum Conformality (PMC), and more precise predictions for CP-averaged branching ratios B(B→ππ)B(B→ππ) can be achieved. Combining the errors in quadrature, we obtain View the MathML sourceB(Bd→π0π0)|PMC=(0.98-0.31+0.44)×10-6 by using the light-front holographic low-energy model for the running coupling. All of the CP-averaged B→ππB→ππ branching fractions predicted by the PMC are consistent with the Particle Data Group average values and the recent Belle data. Moreover, the PMC provides a possible solution for the Bd→π0π0Bd→π0π0 puzzle.},

  doi          = {10.1016/j.physletb.2015.07.044},

  journal      = {Physics Letters B},

  number       = C,

  volume       = 748,

  place        = {Netherlands},

  year         = {Tue Sep 01 00:00:00 EDT 2015},

  month        = {Tue Sep 01 00:00:00 EDT 2015}

}

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Title: A possible solution to the B → π π puzzle using the principle of maximum conformality

Abstract

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Title: A possible solution to the $B \to π π$ puzzle using the principle of maximum conformality