  The rare decays $B_{s,d}^0 \to \mu^+\mu^-$ are important probes for new
physics beyond the Standard Model. These decays are subjects of studies at the
LHC. The ATLAS and CMS collaborations have analyzed the proton-proton
collisions data at 7 TeV centre-of-mass energy collected in the year 2011. They
have established upper limits on the branching fractions of the two decays.
This paper presents a report.
