FCNC transition of $B$ to $a_1$ with LCSR

Abstract

The $B\to a_1{\ell }^{+}{\ell }^{-}$ decays occur by the electroweak penguin and box diagrams which can be performed through the flavor changing neutral current (FCNC). We calculate the form factors of the FCNC $B\to a_1$ transitions in the light--cone sum rules approach, up to twist--4 distribution amplitudes of the axial vector meson $a_1$. Forward--backward asymmetry, as well as branching ratios of $B\to a_1{\ell }^{+}{\ell }^{-}$, and $B\to a_1\gamma$ decays are considered. A comparison is also made between our results and the predictions of other methods.

Comments: 20 pages, 6 figures