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

Physics – High Energy Physics – High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.65.017501

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 ${\cal B}(B^\pm \to\eta^{(\prime)} l \nu)=4.32 \pm 0.83 (2.10 \pm 0.40) \times 10^{-5}$, which could be extensively studied experimentally at $BaBar$ and Belle.

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