Search for the Lepton Flavour Violating decays $\Upsilon(2S)\rightarrow e^{\pm}\mu^{\mp}$ and $\Upsilon(3S)\rightarrow e^{\pm}\mu^{\mp}$

Abstract

Charged lepton flavour violating processes are unobservable in the standard model, but they are predicted to be enhanced in several new physics extensions. We present the results of a search for $\Upsilon (2S)$ and $\Upsilon (3S)$ decays to $e^{\pm}\mu^{\mp}$ decays. The search was conducted using data samples consisting of 99 million $\Upsilon (2S)$ and 122 million $\Upsilon (3S)$ mesons, collected at center-of-mass energies of 10.02 and 10.36 GeV, respectively, by the BABAR detector at the SLAC PEP-II $e^{+}e^{-}$ collider.