$B\to A$ transitions in the light-cone QCD sum rules with the chiral current

Abstract

In this article, we calculate the form-factors of the transitions $B\to a_1(1260)$, $b_1(1235)$ in the leading-order approximation using the light-cone QCD sum rules. In calculations, we choose the chiral current to interpolate the $B$-meson, which has outstanding advantage that the twist-3 light-cone distribution amplitudes of the axial-vector mesons have no contributions, and the resulting sum rules for the form-factors suffer from much less uncertainties. Then we study the semi-leptonic decays $B\to a_1(1260)l{\bar{\nu }}_l$, $b_1(1235)l{\bar{\nu }}_l$ $(l=e,\mu ,\tau )$, and make predictions for the differential decay widths and decay widths, which can be confronted with the experimental data in the coming future.

15 pages, 18 figures

References in corpus (7)

• Semileptonic $B_c$ decays and Charmonium distribution amplitude
• The effective continuum threshold in dispersive sum rules
• Scalar mesons in weak semileptonic decays of $B_{(s)}$
• $B_{(s)}\to S$ transitions in the light cone sum rules with the chiral current
• Structure of the $(0^{+},1^{+})$ mesons $B_{s0}$ and $B_{s1}$, and the strong coupling constants $g_{B_{s0}BK}$ and $g_{B_{s1}{B}^{\ast }K}$
• Analysis of the $B\to a_1(1260)$ form-factors with light-cone QCD sum rules
• Heavy-to-light transition form factors and their relations in light-cone QCD sum rules

Cited by in corpus (7)

• $a_1(1260),a_1(1420)$ and the production in heavy meson decays
• $a_1(1260)$-meson longitudinal twist-2 distribution amplitude and the $D\to a_1(1260){\ell }^{+}{\nu }_{\ell }$ decay processes
• Study of the axial-vector and tensor resonant contributions to the $D\to VP{\ell }^{+}{\nu }_{\ell }$ decays based on SU(3) flavor analysis
• Longitudinal leading-twist distribution amplitude of the ${}^1{P}_1$-state $b_1(1235)$ meson and its implications on $B\to b_1(1235){\ell }^{+}{\nu }_{\ell }$ decays
• Flavor SU(3) analysis of the charmless semileptonic $B\to PV{\ell }^{+}{\nu }_{\ell }$ decays
• ${\eta }^{(\prime )}$-meson twist-2 distribution amplitude within QCD sum rule approach and its application to the semi-leptonic decay $D_s^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$
• Next-to-leading-order QCD calculations of $B\to A$ form factors with higher-twist corrections