Charmless decays in the QCD factorization approach

Abstract

In this paper, we present a study of the charmless (V denotes the light ground vector meson) decays within the framework of QCD factorization. In the evaluation, two different schemes for regulating the end-point divergence are adopted. One (scheme I) is to use a parameterization model, which is usually employed in the QCD factorization approach; the other (scheme II) is based on the infrared finite gluon propagator of the Cornwall prescription. It is found that, in the annihilation amplitudes, the end-point divergence appears only in the power-suppressed corrections related to the twist-3 distribution amplitudes of the V-meson. The strengths of the annihilation amplitudes evaluated in scheme II are generally larger than those in scheme I. Numerically, in the decay modes considered in this paper, the CKM-favored decays have relatively large branching fractions, , and hence are likely to be the first observed by future experiments. In addition, all of the decay modes are dominated by the longitudinal polarization state; numerically, .