The $\rho$-meson longitudinal leading-twist distribution amplitude

Abstract

In the present paper, we suggest a convenient model for the vector $\rho$-meson longitudinal leading-twist distribution amplitude ${\varphi }_{2;\rho }^{\Vert }$, whose distribution is controlled by a single parameter $B_{2;\rho }^{\Vert }$. By choosing proper chiral current in the correlator, we obtain new light-cone sum rules (LCSR) for the $B\to \rho$ TFFs $A_1$, $A_2$ and $V$, in which the ${\delta }^1$-order ${\varphi }_{2;\rho }^{\Vert }$ provides dominant contributions. Then we make a detailed discussion on the ${\varphi }_{2;\rho }^{\Vert }$ properties via those $B\to \rho$ TFFs. A proper choice of $B_{2;\rho }^{\Vert }$ can make all the TFFs agree with the lattice QCD predictions. A prediction of $|V_{\mathrm{ub}}|$ has also been presented by using the extrapolated TFFs, which indicates that a larger $B_{2;\rho }^{\Vert }$ leads to a larger $|V_{\mathrm{ub}}|$. To compare with the BABAR data on $|V_{\mathrm{ub}}|$, the longitudinal leading-twist DA ${\varphi }_{2;\rho }^{\Vert }$ prefers a doubly-humped behavior.

arXiv comment7 pages, 3 figures. Discussions improved and references updated. To be published in Phys.Lett.B

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