Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

$B_{(s)}$ to Light Axial Vector Meson Form Factors via LCSR in HQEFT with Applications to Semileptonic Decays

Ya-Bing Zuo, Ming-Ge Li, Shi-Yu Liang, Wan-Ting Liu, Xin-Su Liu

Abstract

In the present work, the form factors of $B_{(s)}$ to light P-wave axial vector mesons are calculated via the light cone sum rules (LCSR) in the framework of heavy quark effective field theory (HQEFT). Firstly, the expressions of form factors in terms of the light cone distribution amplitudes (DAs) of axial vector mesons are derived via the LCSR at the leading order of heavy quark expansion. It is found that the penguin type form factors can be obtained directly from the corresponding semileptonic ones, which is similar to the case of S-wave mesons. Considering the light axial vector meson DAs to twist-3, we give the numerical results of form factors systematically. As applications, we investigate the branching ratios, longitudinal polarization fractions and forward-backward asymmetries of relevant semileptonic decays induced by charged current. Our results may be tested by more precise experiments in the future.

$B_{(s)}$ to Light Axial Vector Meson Form Factors via LCSR in HQEFT with Applications to Semileptonic Decays

Abstract

In the present work, the form factors of to light P-wave axial vector mesons are calculated via the light cone sum rules (LCSR) in the framework of heavy quark effective field theory (HQEFT). Firstly, the expressions of form factors in terms of the light cone distribution amplitudes (DAs) of axial vector mesons are derived via the LCSR at the leading order of heavy quark expansion. It is found that the penguin type form factors can be obtained directly from the corresponding semileptonic ones, which is similar to the case of S-wave mesons. Considering the light axial vector meson DAs to twist-3, we give the numerical results of form factors systematically. As applications, we investigate the branching ratios, longitudinal polarization fractions and forward-backward asymmetries of relevant semileptonic decays induced by charged current. Our results may be tested by more precise experiments in the future.

Paper Structure

This paper contains 10 sections, 37 equations, 37 figures, 18 tables.

Table of Contents

  1. Introduction
  2. Definitions of form factors and LCSR in HQEFT
  3. Definitions of form factors
  4. LCSR in HQEFT
  5. Numerical analysis and results of the form factors
  6. $B_{(s)}$ to light axial vector meson semileptonic decays
  7. Summary
  8. The twist-3 light cone distribution amplitudes of axial vector meson
  9. Variation of $B_{(s)} \rightarrow A$ form factors as functions of $T$ for different $s_0$ at $q^2=0$
  10. The behaviors of form factors as functions of $q^2$

Figures (37)

  • Figure 1: $B \rightarrow a_1(1260)$ form factors as functions of $T$ for different $s_0$ at $q^2=0$.
  • Figure 2: $B \rightarrow b_1(1235)$ form factors as functions of $T$ for different $s_0$ at $q^2=0$.
  • Figure 3: $B \rightarrow a_1(1260)$ form factors as functions of $q^2$.
  • Figure 4: $B \rightarrow b_1(1235)$ form factors as functions of $q^2$.
  • Figure 5: The FBAs of lepton as functions of $q^2$ for the decays $\bar{B}^0 \rightarrow a_1^+(1260) l^- \bar{\nu}_l$ (left graph) and $\bar{B}^0 \rightarrow b_1^+(1235) l^- \bar{\nu}_l$ (right graph), with $l=e, \mu, \tau$.
  • ...and 32 more figures