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arXiv 1908.07011hep-ph
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功率增强的超前对数QED对$B_q \to μ^+μ^-$的修正

Power-enhanced leading-logarithmic QED corrections to $B_q \to μ^+μ^-$

Martin Beneke, Christoph Bobeth, Robert Szafron

摘要:

本文在软共线有效理论框架下系统地研究了先前发现的对轻子衰变$B_q\to μ^+μ^-$($q = d, s$)的功率增强QED修正。利用SCET $_\text{I}$和SCET $_\text{II}$的两步匹配,以及相应的重整化群方程,我们对半轻子弱有效算符$\sim Q_9$的矩阵元的耦合中的所有阶的前导对数QED修正和混合QED-QCD修正求和.我们提出了一个处理的$B$介子衰变常数和光锥分布振幅的存在下,特定过程的QED修正。最后,我们包括超软光子辐射,并提供更新的值的非辐射和辐射分支分数的$B_q \to μ^+μ^-$衰变,包括双对数QED和QCD校正。

英文摘要:

We provide a systematic treatment of the previously discovered power-enhanced QED corrections to the leptonic decay $B_q\to μ^+μ^-$ ($q = d, s$) in the framework of soft-collinear effective theory (SCET). Employing two-step matching on SCET$_\text{I}$ and SCET$_\text{II}$, and the respective renormalization group equations, we sum the leading-logarithmic QED corrections and the mixed QED-QCD corrections to all orders in the couplings for the matrix element of the semileptonic weak effective operator $\sim Q_9$. We propose a treatment of the $B$-meson decay constant and light-cone distribution amplitude in the presence of process-specific QED corrections. Finally we include ultrasoft photon radiation and provide updated values of the non-radiative and radiative branching fractions of $B_q \to μ^+μ^-$ decay that include the double-logarithmic QED and QCD corrections.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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