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arXiv 0901.2636hep-ph
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光锥求和规则下手征电流对$B\to P$形状因子的辐射修正

Radiative Corrections on the $B\to P$ Form Factors with Chiral Current in the Light-Cone Sum Rules

Xing-Gang Wu, Tao Huang

摘要:

本文在前人工作的基础上,将辐射修正的计算方法推广到光锥求和规则下的具有手征流的$B\to P$($P$代表$π$,$K$和所有轻赝标介子)标量和张量形状因子$F^{0,T}_{B\to P}(q^2)$.对$B\to P$形状因子的最不确定的twist-3贡献可以通过适当设计的相关器自然地消除。我们给出了具有普适的$b$ -夸克极质量的$F^{+,0,T}_{B\to P}(q^2)$的次首阶公式。结果表明,在相同的参数范围内,我们的结果更简单,不确定性更小,因为我们只需要从所获得的LCSR计算扭曲-2部分的下一个领导阶。其次,在$q^2=0$上得到了$f^{+,0}_{B\toπ}(0)=0.260^{+0.059}_{-0.040}$、$f^{T}_{B\toπ}(0)=0.276^{+0.052}_{-0.039}$、$f^{+,0}_{B\to K}(0)=0.334^{+0.094}_{-0.069}$和$f^{T}_{B\to K}(0) =0.379^{+0.092}_{-0.077}$,并讨论了$SU_f(3)$的断裂效应。

英文摘要:

Based on the approach of the vector form factor $F^{+}_{B\toπ, K}(q^2)$ in our previous papers, we extend the calculation of the radiative corrections to the $B\to P$ ($P$ stands $π$, $K$ and all light pseudoscalar mesons) scalar and tensor form factors $F^{0,T}_{B\to P}(q^2)$ with chiral current in the light-cone sum rules (LCSRs). The most uncertain twist-3 contributions to the $B\to P$ form factors can be naturally eliminated through a properly designed correlator. We present the next-leading-order formulae of $F^{+,0,T}_{B\to P}(q^2)$ with the $b$-quark pole mass that is universal. It has been shown that our results are simpler and less uncertain under the same parameter regions since we only need to calculate the next leading order on the twist-2 part from the obtained LCSR. Second, we obtain $f^{+,0}_{B\toπ}(0)=0.260^{+0.059}_{-0.040}$, $f^{T}_{B\toπ}(0)=0.276^{+0.052}_{-0.039}$, $f^{+,0}_{B\to K}(0)=0.334^{+0.094}_{-0.069}$ and $f^{T}_{B\to K}(0) =0.379^{+0.092}_{-0.077}$ at $q^2=0$ and the $SU_f(3)$-breaking effects are discussed too.

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