Updating Bounds on $R$-Parity Violating Supersymmetry from Meson Oscillation Data

TL;DR

This paper refines bounds on $R$-parity violating supersymmetry using meson oscillation data by calculating one-loop contributions and considering potential cancellations among different flavor-changing effects.

Contribution

It provides complete and corrected one-loop calculations of $R$-parity violating contributions to meson oscillations and explores interference effects that could relax existing bounds.

Findings

Updated bounds on $R$-parity violating couplings from meson oscillations.

Identification of potential cancellations that weaken constraints.

Explicit calculations of one-loop contributions to meson mixing.

Abstract

We update the bounds on $R$-parity violating supersymmetry originating from meson oscillations in the $B^0_{d/s}$ and $K^0$ systems. To this end, we explicitly calculate all corresponding contributions from $R$-parity violating operators at the one-loop level, thereby completing and correcting existing calculations. We apply our results to the derivation of bounds on $R$-parity violating couplings, based on up-to-date experimental measurements. In addition, we consider the possibility of cancellations among flavor-changing contributions of various origins, e.g. from multiple $R$-parity violating couplings or $R$-parity conserving soft terms. Destructive interferences among new-physics contributions could then open phenomenologically allowed regions, for values of the parameters that are naively excluded when the parameters are varied individually.