Measurement of the $B_s^0\to {\mu }^{+}{\mu }^{-}$ decay properties and search for the $B^0\to {\mu }^{+}{\mu }^{-}$ and $B_s^0\to {\mu }^{+}{\mu }^{-}\gamma$ decays

Abstract

An improved measurement of the decay $B_s^0\to {\mu }^{+}{\mu }^{-}$ and searches for the decays $B^0\to {\mu }^{+}{\mu }^{-}$ and $B_s^0\to {\mu }^{+}{\mu }^{-}\gamma$ are performed at the LHCb experiment using data collected in proton-proton collisions at $\sqrt{s}=7,8$ and $13$ TeV, corresponding to integrated luminosities of 1, 2 and 6 fb${}^{-1}$, respectively. The $B_s^0\to {\mu }^{+}{\mu }^{-}$ branching fraction and effective lifetime are measured to be $\mathcal{B}(B_s^0\to {\mu }^{+}{\mu }^{-})=\left(3.09_{-0.43-0.11}^{+0.46+0.15}\right)\times 10^{-9}$ and $\tau (B_s^0\to {\mu }^{+}{\mu }^{-})=(2.07\pm 0.29\pm 0.03)$ ps, respectively, where the uncertainties include both statistical and systematic contributions. No significant signal for $B^0\to {\mu }^{+}{\mu }^{-}$ and $B_s^0\to {\mu }^{+}{\mu }^{-}\gamma$ decays is found and the upper limits $\mathcal{B}(B^0\to {\mu }^{+}{\mu }^{-})<2.6\times 10^{-10}$ and $\mathcal{B}(B_s^0\to {\mu }^{+}{\mu }^{-}\gamma )<2.0\times 10^{-9}$ at 95% confidence level are determined, where the latter is limited to the range $m_{\mu \mu }>4.9$ GeV$/c^2$. Additionally, the ratio between the $B^0\to {\mu }^{+}{\mu }^{-}$ and $B_s^0\to {\mu }^{+}{\mu }^{-}$ branching fractions is measured to be ${\mathcal{R}}_{{\mu }^{+}{\mu }^{-}}<0.095$ at 95% confidence level. The results are in agreement with the Standard Model predictions.

All figures and tables, along with machine-readable versions and any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2021-008.html. V3 contains the version published in Phys. Rev. D

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