Study of Semileptonic Decays $B^{\pm }\to {\eta }^{(\prime )}l\nu$

Abstract

We study semileptonic decays $B^{\pm }\to {\eta }^{(\prime )}l\nu$, which are suggested to be used to extract the hadronic form factors of $B$ meson decays to $\eta ({\eta }^{\prime })$ and the angle of $\eta -{\eta }^{\prime }$ mixing. This would be of great benefit to theoretical studies of $B$ nonleptonic decays involving $\eta$ and ${\eta }^{\prime }$, and could lead to a reliable and complementary determination of $V_{ub}$. The branching ratios are estimated to be $\mathcal{B}(B^{\pm }\to {\eta }^{(\prime )}l\nu )=4.32\pm 0.83(2.10\pm 0.40)\times 10^{-5}$, which could be extensively studied experimentally at $BaBar$ and Belle.

Comments: 9 pages, 1 figure. References added. To appear in PRD