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arXiv 0712.0237hep-ph
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QCD光锥求和规则中B \to K跃迁形状因子的SU_f(3)对称破缺效应

SU_f(3)-Symmetry Breaking Effects of the B\to K Transition Form Factor in the QCD Light-Cone Sum Rules

Xing-Gang Wu, Tao Huang, Zhen-Yun Fang

摘要:

在QCD光锥求和规则(LCSR)方法中,提出了一种改进的带手征流的$B\to K$跃迁形状因子的计算方法。在本方法下,消除了最不确定的扭曲-3贡献。讨论了K介子波函数的扭转2和扭转4结构的贡献,包括$SU_f(3)$破缺效应。研究了单圈辐射修正对K介子旋度2贡献的影响以及首阶旋度4修正。获得$SU_f(3)$断裂效应,$ \frac{F^{B\to K}_{+}(0)}{F^{B\toπ}_{+}(0)}=1.16\pm 0.03$。通过结合LCSR结果和新近获得的微扰QCD结果(已计算到参考文献\cite{hwf0}中的${\cal O}(1/m^2_b)$),我们给出了在大、中能区$B\to K$跃迁形状因子的一致性分析。

英文摘要:

We present an improved calculation of the $B\to K$ transition form factor with chiral current in the QCD light-cone sum rule (LCSR) approach. Under the present approach, the most uncertain twist-3 contribution is eliminated. And the contributions from the twist-2 and the twist-4 structures of the kaon wave function are discussed, including the $SU_f(3)$-breaking effects. One-loop radiative corrections to the kaonic twist-2 contribution together with the leading-order twist-4 corrections are studied. The $SU_f(3)$ breaking effect is obtained, $ \frac{F^{B\to K}_{+}(0)}{F^{B\toπ}_{+}(0)}=1.16\pm 0.03$. By combining the LCSR results with the newly obtained perturbative QCD results that have been calculated up to ${\cal O}(1/m^2_b)$ in Ref.\cite{hwf0}, we present a consistent analysis of the $B\to K$ transition form factor in the large and intermediate energy regions.

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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