Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-12-03
Phys.Rev.D77:074001,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages, 7 figures, some typo errors are corrected, to be published in PRD
Scientific paper
10.1103/PhysRevD.77.074001
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\to\pi}_{+}(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.
Fang Zhen-Yun
Huang Tao
Wu Xing-Gang
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