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

Abstract

We analyze the lepton flavor violating decays $\tau \to Pl$ ($P=\pi ,\eta ,{\eta }^{\prime };l=e,\mu$) in the scenario of the minimal R-symmetric supersymmetric standard model. The prediction on the branching ratios BR$(\tau \to Pe)$ and BR$(\tau \to P\mu )$ 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($\tau \to e(\mu )\gamma$) and BR($\tau \to 3e(\mu )$). The result shows $Z$ penguin dominates the prediction on BR($\tau \to Pl$) in a large region of the parameter space. The branching ratios for BR($\tau \to Pl$) 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.

Comments: 19 pages, 9 figures. arXiv admin note: text overlap with arXiv:2004.12266