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Weak decays of the vector $D^{*0}$ and $B_{(s)}^{*0}$ mesons to the $\mumu$final state provide novel potential to test the Standard Model of particlephysics. Such processes have extremely small branching fractions as the vectormesons are able to decay through electromagnetic and (for the $D^{*0}$ meson)strong interactions. Nonetheless, the production of copious quantities of theseparticles in LHC collisions, and the ability to exploit experimental techniquesthat can suppress background to low levels, provides good potential to reachinteresting sensitivity. The possibility to reconstruct these processes as partof the decay chain of $B^-$ or $B_c^+$ mesons appears particularly attractivedue to the clean experimental signature of the displaced vertex. Indeed,published LHCb data on $\Bm \to \pim\mumu$ decays already implies a stringentlimit on the branching fraction of $D^{*0} \to \mu^+\mu^-$. Estimates are madeon the achievable sensitivity to $D^{*0} \to \mu^+\mu^-$ and $B_{(s)}^{*0} \to\mu^+\mu^-$ decays with the LHCb experiment.

Prospects for studies of $D^{*0} \to \mu^+\mu^-$ and $B_{(s)}^{*0} \to \mu^+\mu^-$ decays

Prospects for studies of $D^{0} \to \mu^+\mu^-$ and $B_{(s)}^{0} \to \mu^+\mu^-$ decays