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In light of the first observation of the semileptonic decay $B^{0}_{s}\toK^{-}\mu^{+}\nu_{\mu}$ by the LHCb collaboration, we revisit the determinationof the CKM parameter $|V_{ub}|$ from exclusive semileptonic $B$-meson decays. Acontrolled theoretical input on the Standard Model $B\to\pi$ and $B_{s}\to K$vector and scalar form factors from Lattice QCD in the large $q^{2}$ region, incombination with experimental measurements of the differential$B\to\pi\ell\nu_{\ell}$ and $B^{0}_{s}\to K^{-}\mu^{+}\nu_{\mu}$ branchingratio distributions, has allowed us determine $|V_{ub}|=3.86(11)\times10^{-3}$and $|V_{ub}|=3.58(9)\times10^{-3}$ from the analyses of the individual decaychannels, respectively, and $|V_{ub}|=3.68(5)\times10^{-3}$ from a simultaneousanalysis of both decays, which is only a $1.4\%$ error and differs by$1.8\sigma$ with respect to the value from inclusive determinations$|V_{ub}|=4.25(12)^{+15}_{-14}(23)\times10^{-3}$. Our results are based on theuse of Pad\'{e} approximants to the participating form factors, highlight theimportance of the decay $B_{s}\to K\mu\nu_{\mu}$ in complementing thetraditional $B\to\pi\ell\nu_{\ell}$ one in the exclusive determination of$|V_{ub}|$, and allow obtain, to the best of our knowledge, the firstcorrelated results for the $B\to\pi$ and $B_{s}\to K$ vector and scalar formfactors. We hope that our study strengthens the case for precise measurementsof the differential $B_{s}\to K\ell\nu_{\ell}$ decay rate with a finerresolution of the $q^{2}$ bins, as it would definitely allow achieving moreconclusive results for $|V_{ub}|$.

Pad\'{e} approximants to $B\to\pi\ell\nu_{\ell}$ and $B_{s}\to K\ell\nu_{\ell}$ and determination of $|V_{ub}|$