Search for rare or forbidden decays of the $D^0$ meson

Abstract

We present a search for nine lepton-number-violating and three lepton-flavor-violating neutral charm decays of the type $D^0\to h^{\prime -}{h}^{-}{\ell }^{\prime +}{\ell }^{+}$ and $D^0\to h^{\prime -}{h}^{+}{\ell }^{\prime \pm }{\ell }^{\mp }$, where $h$ and $h^{\prime }$ represent a $K$ or $\pi$ meson and $\ell$ and ${\ell }^{\prime }$ an electron or muon. The analysis is based on $468$ fb${}^{-1}$ of $e^{+}{e}^{-}$ annihilation data collected at or close to the $Y(4S)$ resonance with the BaBar detector at the SLAC National Accelerator Laboratory. No significant signal is observed for any of the twelve modes and we establish 90% confidence level upper limits on the branching fractions in the range $(1.0-30.6)\times 10^{-7}$. The limits are between one and three orders of magnitude times more stringent than previous measurements.

arXiv comment8 pages, 2 figures

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