The lepton flavor violating decays of vector mesons in the MRSSM

TL;DR

This paper analyzes lepton flavor violating decays of vector mesons within the MRSSM, predicting extremely suppressed branching ratios consistent with experimental constraints.

Contribution

It provides the first detailed analysis of these decays in the MRSSM using the effective Lagrangian approach, highlighting the impact of mass insertion parameters.

Findings

Branching ratios for $(nS)  l $ are predicted to be ten orders of magnitude below current experimental bounds.

Different contributions to the decay processes are comparable in magnitude.

Experimental constraints significantly limit the predicted decay rates.

Abstract

Recently several new bounds of the lepton flavor violating decays of the neutral vector mesons $J/\psi$ and $\Upsilon(nS)$ are reported from the experiments. In the work, we analyze these processes in the scenario of the minimal R-symmetric supersymmetric standard model by means of the effective Lagrangian method. The predicted branching ratios are affected by the mass insertion parameters $\delta^{ij}$ and the contributions from different parts are comparable. Taking account of the constraints on the mass insertion parameters from the experiments, the branching ratios for the most promising processes $\Upsilon(nS)\rightarrow l\tau$ are predicted to be ten orders of magnitude smaller than the present experimental bounds.