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arXiv · 1808.09285

Form factor ratios for $B_s \rightarrow K \, \ell \, ν$ and $B_s \rightarrow D_s \, \ell \, ν$ semileptonic decays and $|V_{ub}/V_{cb}|$

Christopher J. Monahan·Chris M. Bouchard·G. Peter Lepage·Heechang Na·Junko Shigemitsu
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Abstract

We present a lattice quantum chromodynamics determination of the ratio of the scalar and vector form factors for two semileptonic decays of the $B_s$ meson: $B_s \rightarrow K \ell ν$ and $B_s \rightarrow D_s \ell ν$. In conjunction with future experimental data, our results for these correlated form factors will provide a new method to extract $|V_{ub}/V_{cb}|$, which may elucidate the current tension between exclusive and inclusive determinations of these Cabibbo-Kobayashi-Maskawa mixing matrix parameters. In addition to the form factor results, we determine the ratio of the differential decay rates, and forward-backward and polarization asymmetries, for the two decays.

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Christopher J. Monahan, Chris M. Bouchard, G. Peter Lepage, Heechang Na, Junko Shigemitsu. 2018-12-20. Form factor ratios for $B_s \rightarrow K \, \ell \, ν$ and $B_s \rightarrow D_s \, \ell \, ν$ semileptonic decays and $|V_{ub}/V_{cb}|$. https://doi.org/10.1103/physrevd.98.114509

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