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arXiv 1107.1601hep-ph
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B衰变到轻介子的α_s^2级磁企鹅修正

Order alpha_s^2 magnetic penguin correction for B decay to light mesons

C. S. Kim, Yeo Woong Yoon

摘要:

在QCD分解框架下,计算了B介子衰变为轻介子时磁企鹅算符矩阵元的α_s^2阶修正。我们明确地证明了软发散和共线发散被抵消,从而证实了QCD因子分解的有效性。我们以完整的解析形式给出计算结果。结果也适用于B -> K π衰变,我们发现磁企鹅算符的α_s^2阶修正能显著降低企鹅振幅系数α ^ c_{4,I} .虚部的减少更强。

英文摘要:

We compute the order alpha_s^2 correction to the matrix element of magnetic penguin operator for B meson decaying to light mesons within the QCD factorization framework. We explicitly show that the soft and collinear divergences are canceled out, so that the validity of QCD factorization is confirmed. We present the result of the calculation in complete analytic forms. The result is also applied to B -> K pi decays, and we find that the order alpha_s^2 correction of magnetic penguin operator can considerably reduce the coefficient of penguin amplitude a^c_{4,I}. The reduction is stronger for the imaginary part.

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