Measurement of the $B^0_s\toμ^+μ^-$ decay properties and search for the $B^0\toμ^+μ^-$ and $B^0_s\toμ^+μ^-γ$ decays

An improved measurement of the decay $B^0_s\toμ^+μ^-$ and searches for the decays $B^0\toμ^+μ^-$ and $B^0_s\toμ^+μ^-γ$ 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 $B^0_s\toμ^+μ^-$ branching fraction and effective lifetime are measured to be ${\mathcal{B}}(B^0_s\toμ^+μ^-)=\left(3.09^{+0.46+0.15}_{-0.43-0.11}\right)\times 10^{-9}$ and $τ(B^0_s\toμ^+μ^-)=(2.07\pm 0.29\pm 0.03)$ ps, respectively, where the uncertainties include both statistical and systematic contributions. No significant signal for $B^0\toμ^+μ^-$ and $B^0_s\toμ^+μ^-γ$ decays is found and the upper limits $\mathcal{B}(B^0\toμ^+μ^-)<2.6\times 10^{-10}$ and $\mathcal{B}(B^0_s\toμ^+μ^-γ)<2.0\times 10^{-9}$ at 95% confidence level are determined, where the latter is limited to the range $m_{μμ} > 4.9$ GeV$/c^2$. Additionally, the ratio between the $B^0\toμ^+μ^-$ and $B^0_s\toμ^+μ^-$ branching fractions is measured to be $\mathcal{R}_{μ^+μ^-}<0.095$ at 95% confidence level. The results are in agreement with the Standard Model predictions.