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

TL;DR

This paper calculates the transition form factors for B meson decays into mixed K1 states using QCD sum rules, providing insights into their polarization and decay properties.

Contribution

It introduces a method to analyze the K1(1270, 1400) states' transition form factors within the QCD sum rules framework, accounting for their mixing.

Findings

Calculated decay widths and branching ratios for B→K1νν̄ decays.

Determined the asymmetry parameter for K1 polarization.

Provided numerical estimates for polarization and decay observables.

Abstract

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.