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arXiv · 0712.0237

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
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Abstract

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.

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Xing-Gang Wu, Tao Huang, Zhen-Yun Fang. 2008-03-26. SU_f(3)-Symmetry Breaking Effects of the B\to K Transition Form Factor in the QCD Light-Cone Sum Rules. https://doi.org/10.1103/physrevd.77.074001

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