Search for $B^{+} \to \mu^{+} \nu \mu$ with inclusive reconstruction at BaBar

We search for the purely leptonic decay B{sup {+-}} {yields} {mu}{sup {+-}}{nu}{sub {mu}} in the full BABAR dataset, having an integrated luminosity of approximately 426 fb{sup -1}. We adopt a fully inclusive approach, where the signal candidate is identified by the highest momentum lepton in the event and the companion B is inclusively reconstructed without trying to identify its decay products. We set a preliminary upper limit on the branching fraction of {Beta}(B{sup {+-}} {yields} {mu}{sup {+-}}{nu}{sub {mu}}) < 1.3 x 10{sup -6} at the 90% confidence level, using a Bayesian approach.