BRIEF REVIEW OF THE SEARCHES FOR THE RARE DECAYS $B^0_{s}\to\mu^+\mu^-$ and $B^0\to\mu^+\mu^-$

Abstract

The current experimental status of the searches for the very rare decays [Formula: see text] and [Formula: see text] is discussed. These channels are highly sensitive to various extensions of the Standard Model, especially in the scalar and pseudoscalar sector. The recent, most sensitive measurements from the CDF, ATLAS, CMS and LHCb collaborations are discussed and the combined upper exclusion limit on the branching fractions determined by the LHC experiments is shown to be 4.2×10-9 for [Formula: see text] and 0.8×10-9 for [Formula: see text]. The implications of these tight bounds on a selected set of New Physics models is sketched.