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

TL;DR

This paper investigates how R-parity violating supersymmetry could affect the mixing parameters in neutral meson systems, providing formulas, analyzing contributions, and setting bounds based on experimental data.

Contribution

It derives general expressions for new physics effects on meson mixing and assesses the impact of R-parity violation, highlighting potential sizable effects in the B_s system.

Findings

R-parity violating effects are small for D^0 and B_d^0 mixing.

Potentially large contributions to B_s^0 - ar B_s^0 mixing.

Bounds on R-parity violating parameters are established from experimental data.

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.