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.

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

References in corpus (1)

• Revisiting Charmless Two-Body B Decays involving ${\eta }^{\prime }$ and $\eta$

Cited by in corpus (7)

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• Charm Physics with BES-III at BEPC-II
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• Study of $B\to \pi \ell {\nu }_{\ell }$ and $B^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays and determination of $|V_{ub}|$
• Measurement of the Decays $\mathbf{B}\to \mathbf{\eta }\mathbf{\ell }{\mathbf{\nu }}_{\mathbf{\ell }}$ and $\mathbf{B}\to {\mathbf{\eta }}^{\prime }\mathbf{\ell }{\mathbf{\nu }}_{\mathbf{\ell }}$ in Fully Reconstructed Events at Belle
• Model independent investigation of rare semileptonic b \to u l \barν_l decay processes