Studying the lepton number and lepton flavor violating $D^0\to e^\pm\mu^\mp$ and $D^+_{d/s}\to \pi(K)^+e^\pm\mu^\mp$ decays

Abstract

The rare D decays are sensitive to new physics involving the up quark sector such as certain R-parity violating supersymmetric models. We study the lepton number and lepton flavor violating [Formula: see text] and [Formula: see text] decays in the supersymmetry without R-parity. From the best experimental upper limits of these decay branching ratios, we derive constraints on the relevant coupling products for the first time, and examine their contributions to relevant branching ratios and dileptonic invariant mass spectra. We find that all branching ratios are very sensitive to moduli of the squark exchange coupling products. Accurate measurements of these decay branching ratios in the future experiments at LHC and BESIII could give very strong bounds on relevant lepton number and lepton flavor violating coupling products.