Abstract
In this review, we discuss the calculation of theB⟶P,Vform factors within the framework of the light-cone sum rules with the light-cone distribution amplitudes of theB-meson. A detailed introduction to the definition, scale evolution, and phenomenological models of theB-meson distribution amplitudes is presented. We show two equivalent approaches of calculating the next-to-leading order QCD corrections to the sum rules for the form factors, i.e., the method of regions and the step-by-step matching in the soft-collinear effective theory. The power suppressed corrections to theB⟶P,Vform factors especially the contributions from the higher-twistB-meson distribution amplitudes are displayed. We also present numerical results of the form factors including both the QCD and the power corrections, and phenomenological applications of the predicted form factors such as the determination of the CKM matrix elementVub.
Highlights
The decays of Bq mesons (q = d, s) have been playing a crucial role in the determination of the Cabibbo-KobayashiMaskawa (CKM) matrix elements as well as the understanding of the QCD dynamics in the heavy-light meson system
Different from the light-cone distribution amplitudes (LCDAs) of light mesons, which can be expanded in terms of Gagenbauer polynomials and the corresponding Gagenbauer moments can be calculated by Lattice or QCD sum rules since they are determined by the matrix elements of local operators, the LCDAs of the B meson are more difficult to be modeled
We will demonstrate that the soft divergence will be completely absorbed into the B-meson LCDA and that there is no leading contribution to the correlation function from the collinear region, which confirms the factorization at one-loop level
Summary
Advances in High Energy Physics the matrix elements of the B1-type SCETI operators can be further factorized into convolutions of the jet functions and the LCDAs [11] Since the latter one is suppressed by the strong coupling constant, the heavy-to-light form factors are dominated by the soft form factor in the QCD factorization. The LCSR for the SCETI matrix elements entering the QCD factorization formulae of heavy-to-light B-meson decay form factors, which is called the SCET improved sum rules, has been achieved [30, 31] employing the vacuum-to-B-meson correlation functions.
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