The Semileptonic $B$ to $K_1(1270,1400)$ Decays in QCD Sum Rules

TL;DR

This paper calculates the transition form factors for rare semileptonic B meson decays to axial vector K1 mesons using QCD sum rules, providing insights into potential new physics beyond the Standard Model.

Contribution

It introduces a novel calculation of form factors for B to K1(1270,1400) decays via three-point QCD sum rules, aiding in understanding flavor physics and new physics searches.

Findings

Calculated form factors for B to K1 decays.

Estimated branching fractions for these decays.

Provided theoretical predictions for future experimental tests.

Abstract

We analyze the semileptonic rare decays of $B$ meson to $K_{1} (1270)$ and $K_{1} (1400)$ axial vector mesons. The $B\to K_{1} (1270,1400) \ell^+ \ell^-$ decays are significant flavor changing neutral current decays of the $B$ meson. These decays are sensitive to the new physics beyond SM, since these processes are forbidden at tree level at SM. These decays occurring at the quark level via $b\to s \ell^+ \ell^- $ transition, also provide new opportunities for calculating the CKM matrix elements $V_{bt}$ and $V_{ts}$. In this study, the transition form factors of the $B\to K_{1} (1270,1400) \ell^+ \ell^-$ decays are calculated using three-point QCD sum rules approach. The resulting form factors are used to estimate the branching fractions of these decays.