Rare leptonic decays of $B_{(s)}^0$ mesons are sensitive probes of New Physics effects. A combination of the CMS and LHCb analyses on the search of the rare decays $B_{s}^0 rightarrow mu^+mu^-$ and $B^0 rightarrow mu^+mu^-$ is presented. The branching fractions of $B_{s}^0 rightarrow mu^+mu^-$ and $B^0 rightarrow mu^+mu^-$ are measured to be $mathcal{B}(B_{s}^0 rightarrow mu^+mu^-) = (2.8 ,^{+0.7}_{-0.6}) times 10^{-9}$ and $mathcal{B}(B^0 rightarrow mu^+mu^-) = (3.9 ,^{+1.6}_{-1.4}) times 10^{-10}$ respectively. A statistical significances of $6.2,sigma$ is evaluated for $B_{s}^0 rightarrow mu^+mu^-$ from the Wilks theorem while a significance of $3.0, sigma$ is measured for $B^0 rightarrow mu^+mu^-$ from the Feldman-Cousins procedure.
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