First observation of the decay $B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ and a measurement of $|V_{ub}|/|V_{cb}|$

Abstract

The first observation of the suppressed semileptonic $B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ decay is reported. Using a data sample recorded in {\it pp} collisions in 2012 with the LHCb detector, corresponding to an integrated luminosity of 2 ${\mathrm{fb}}^{-1}$, the branching fraction \mbox{$\mathcal{B}(B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu })$} is measured to be $(1.06\pm 0.05(\mathrm{stat})\pm 0.08(\mathrm{syst}))\times 10^{-4}$, where the first uncertainty is statistical and the second one represents the combined systematic uncertainties. The decay $B_s^0\to D_s^{-}{\mu }^{+}{\nu }_{\mu }$, where $D_s^{-}$ is reconstructed in the final state $K^{+}{K}^{-}{\pi }^{-}$, is used as a normalization channel to minimize the experimental systematic uncertainty. Theoretical calculations on the form factors of the $B_s^0\to K^{-}$ and $B_s^0\to D_s^{-}$ transitions are employed to determine the ratio of the CKM matrix elements $|V_{ub}|/|V_{cb}|$ at low and high $B_s^0\to K^{-}$ momentum transfer.

Submitted to Phys.Rev.Lett. All figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2020-038.html

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