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Semi-leptonic $B_s \to K \ell \nu$ and $B_s \to D_s \ell \nu$ decays providean alternative $b$-decay channel to determine the CKM matrix elements$|V_{ub}|$ and $|V_{cb}|$ or to obtain $R$-ratios to investigate lepton flavoruniversality violations. In addition, these decays may shed further light onthe discrepancies seen in the analysis of inclusive vs. exclusive decays. Usingthe nonperturbative methods of lattice QCD, theoretical results are obtainedwith good precision and full control over systematic uncertainties. This talkwill highlight ongoing efforts of the $B$-physics program by the RBC-UKQCDcollaboration.

Semi-leptonic form factors for $B_s \to K \ell \nu$ and $B_s \to D_s \ell \nu$