Searching for lepton flavor violating decays tau to Pl in Minimal R-symmetric Supersymmetric Standard Model

TL;DR

This paper investigates lepton flavor violating tau decays into a pseudoscalar meson and a lepton within the minimal R-symmetric supersymmetric standard model, predicting extremely suppressed branching ratios well below current and future experimental sensitivities.

Contribution

It provides the first detailed analysis of tau to P l decays in the minimal R-symmetric SUSY model, highlighting the dominance of Z penguin diagrams and the impact of mass insertion parameters.

Findings

Branching ratios are at least five orders of magnitude below current experimental bounds.

Z penguin diagrams dominate the decay predictions across the parameter space.

Predicted decay rates are three orders of magnitude below future experimental sensitivities.

Abstract

We analyze the lepton flavor violating decays $\tau\rightarrow Pl$ ($P=\pi,\eta,\eta';\;l=e,\mu$) in the scenario of the minimal R-symmetric supersymmetric standard model. The prediction on the branching ratios BR$(\tau\rightarrow P e)$ and BR$(\tau\rightarrow P \mu)$ is affected by the mass insertion parameters $\delta^{13}$ and $\delta^{23}$, respectively. These parameters are constrained by the experimental bounds on the branching ratios BR($\tau\rightarrow e (\mu) \gamma$) and BR($\tau\rightarrow 3e(\mu)$). The result shows $Z$ penguin dominates the prediction on BR($\tau\rightarrow Pl$) in a large region of the parameter space. The branching ratios for BR($\tau\rightarrow Pl$) are predicted to be, at least, five orders of magnitude smaller than present experimental bounds and three orders of magnitude smaller than future experimental sensitivities.