Asymmetry Parameter of the $K_1(1270,1400)$ by Analyzing the $B\to K_1\hat{I}½\bar{\hat{I}}½$ Transition Form Factors within QCD

Abstract

Separating the mixture of the $K_1(1270)$ and $K_1(1400)$ states, the $B\to K_1(1270,1400)\hat{I}½\bar{\hat{I}}½$ transition form factors are calculated in the three-point QCD sum rules approach. The longitudinal, transverse and total decay widths as well as the asymmetry parameter, characterizing the polarization of the axial $K_1(1270,1400)$ and the branching ratio for these decays are evaluated.

25 pages, 3 figures, 3 tables