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Results on $B \to \mu^+ \mu^-$ decays with the CMS experiment are reported,using 61 fb$^{-1}$ of data recorded during LHC Run 1 and 2016. With an improvedmuon identification algorithm and refined unbinned maximum likelihood fittingmethods, the decay $B_s^0 \to \mu^+ \mu^-$ is observed with a significance of5.6 standard deviations. Its branching fraction is measured to be BF($B^0_s \to\mu^+ \mu^-$) = [2.9+/-0.7(exp)+/-0.2(frag)]$\times 10^{-9}$, where the firsterror is the combined statistical and systematic uncertainty and the seconderror quantifies the uncertainty of the $B^0_s$ and $B^+$ fragmentationprobability ratio. The $B^0_s \to \mu^+ \mu^-$ effective lifetime is$\tau_{\mu^+ \mu^-} =1.70^{+0.61}_{-0.44}$ps. No evidence for the decay $B^0\to \mu^+ \mu^-$ is found and an upper limit of BF($B^0 \to \mu^+ \mu^-$) <3.6$\times 10^{-10}$ (at 95% confidence level) is determined. All results areconsistent with the standard model of particle physics.

Recent results on $B \to \mu^+ \mu^-$ decays with the CMS experiment