SUSY R-parity violating contributions to the width differences for $D-\bar{D}$ and $B_{d,s}-\bar B_{d,s}$ systems

Abstract

We study R-parity violating contributions to the mixing parameter $y$ for $D^0 -\bar D^0$ and $B^0_{d,s} - \bar B^0_{d,s}$ systems. We first obtain general expressions for new physics contributions to $y$ from effective four fermion operators. We then use them to study R-parity contributions. We find that R-parity violating contributions to $D^0 - \bar D^0$ mixing, and $B_{d}^0 - \bar B_{d}^0$ to be small. There may be sizable contribution to $B_s^0 -\bar B_s^0$ mixing. We also obtain some interesting bounds on R-parity violating parameters using known Standard Model predictions and experimental data.