Asymmetry Parameter of the $K_{1} (1270, 1400)$ by Analyzing the $B\to K_{1}\nu \bar{\nu}$ Transition Form Factors within QCD

Separating the mixture of the $ K_{1}(1270)$ and $K_{1}(1400) $ states, the $B\to K_{1}(1270, 1400)\nu\bar{\nu}$ 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.