A possible solution to the $B\to \pi \pi$ puzzle using the principle of maximum conformality

Journal Article · Tue Sep 01 00:00:00 EDT 2015 · Physics Letters B

DOI:https://doi.org/10.1016/j.physletb.2015.07.044· OSTI ID:1209162

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

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.

• Research Organization: SLAC National Accelerator Lab., Menlo Park, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: AC02-76SF00515; 2015CB856703; 11275280; 11175249; 11375200; CDJZR305513
• OSTI ID: 1209162
• Alternate ID(s): OSTI ID: 1236562
• Journal Information: Physics Letters B, Journal Name: Physics Letters B Vol. 748 Journal Issue: C; ISSN 0370-2693
• Publisher: Elsevier
• Country of Publication: Netherlands
• Language: English

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