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The latest and improved measurements in $B^0_{(s)}\rightarrow\mu^+ \mu^-$processes have been performed by LHCb using full Run 1 and Run 2 data. Themeasurement of the branching fraction of $B^0_{s}\rightarrow\mu^+ \mu^-$ ispresented as the most precise single experiment measurement of such a rareprocess. While no significant excess is found for $B^0\rightarrow\mu^+ \mu^-$,an stringent upper limit is set for its braching fraction. Both results are inagreement with SM predictions and with previous results.

The beauty of the rare: $B_{(s)}\rightarrow \mu^{+} \mu ^{-}$ at the LHCb