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

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

2009-01-17

arxiv.org/abs/0901.2636v2

Phys.Rev.D79:034013,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, 9 figures. References added and typo error corrected. To be published in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.79.034013

Based on the approach of the vector form factor $F^{+}_{B\to\pi, K}(q^2)$ in our previous papers, we extend the calculation of the radiative corrections to the $B\to P$ ($P$ stands $\pi$, $K$ 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 $f^{+,0}_{B\to\pi}(0)=0.260^{+0.059}_{-0.040}$, $f^{T}_{B\to\pi}(0)=0.276^{+0.052}_{-0.039}$, $f^{+,0}_{B\to K}(0)=0.334^{+0.094}_{-0.069}$ 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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