Analysis of the $B\to a_1(1260)$ form-factors with light-cone QCD sum rules

Abstract

In this article, we calculate the $B\to a_1(1260)$ form-factors $V_1(q^2)$, $V_2(q^2)$, $V_3(q^2)$ and $A(q^2)$ with the $B$-meson light-cone QCD sum rules. Those form-factors are basic parameters in studying the exclusive non-leptonic two-body decays $B\to AP$ and semi-leptonic decays $B\to Al{\nu }_l$, $B\to A\bar{l}l$. Our numerical results are consistent with the values from the (light-cone) QCD sum rules. The main uncertainty comes from the parameter ${\omega }_0$ (or ${\lambda }_B$), which determines the shapes of the two-particle and three-particle light-cone distribution amplitudes of the $B$ meson, it is of great importance to refine this parameter.

arXiv comment12 pages, 3 figures, 4-version, slight revision

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• ${\Lambda }_b\to p,\Lambda$ transition form factors from QCD light-cone sum rules
• Probing New Physics with $\bar{B}\to \rho (770){\ell }^{-}{\bar{\nu }}_{\ell }$ and $\bar{B}\to a_1(1260){\ell }^{-}{\bar{\nu }}_{\ell }$
• $a_1(1260),a_1(1420)$ and the production in heavy meson decays
• What can we learn from $B\to a_1(1260)(b_1(1235))\pi (K)$ decays?
• Analysis of the $B\to K_2^{\ast }(1430),a_2(1320),f_2(1270)$ form-factors with light-cone QCD sum rules
• $a_1(1260)$-meson longitudinal twist-2 distribution amplitude and the $D\to a_1(1260){\ell }^{+}{\nu }_{\ell }$ decay processes
• $B\to A$ transitions in the light-cone QCD sum rules with the chiral current
• Semileptonic $B_{(s)}\to a_1(K_1){\ell }^{+}{\ell }^{-}$ decays via the light-cone sum rules with $B$-meson distribution amplitudes
• 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
• Two-body strong decays of the pseudoscalar hidden-charm tetraquark states via the QCD sum rules
• ${\eta }^{(\prime )}$-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