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

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: $B_{s} \to K ℓ ν$ and $B_{s} \to D_{s} ℓ ν$ . In conjunction with future experimental data, our results for these correlated form factors will provide a new method to extract $∣ V_{u b} / V_{c b} ∣$ , 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.

Form factor ratios for $B_{s} \to K ℓ ν$ and $B_{s} \to D_{s} ℓ ν$ semileptonic decays and $∣ V_{u b} / V_{c b} ∣$

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Form factor ratios for $B_{s} \to K ℓ ν$ and $B_{s} \to D_{s} ℓ ν$ semileptonic decays and $∣ V_{u b} / V_{c b} ∣$

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Form factor ratios for Bs→K ℓ νBs​→Kℓν and Bs→Ds ℓ νBs​→Ds​ℓν semileptonic decays and ∣Vub/Vcb∣∣Vub​/Vcb​∣

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Form factor ratios for Bs→K ℓ νBs​→Kℓν and Bs→Ds ℓ νBs​→Ds​ℓν semileptonic decays and ∣Vub/Vcb∣∣Vub​/Vcb​∣

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Form factor ratios for $B_{s} \to K ℓ ν$ and $B_{s} \to D_{s} ℓ ν$ semileptonic decays and $∣ V_{u b} / V_{c b} ∣$

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Form factor ratios for $B_{s} \to K ℓ ν$ and $B_{s} \to D_{s} ℓ ν$ semileptonic decays and $∣ V_{u b} / V_{c b} ∣$

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