Searching for lepton flavor violating decays $$\tau \rightarrow Pl$$ τ → P l in the minimal R-symmetric supersymmetric standard model

We analyze the lepton flavor violating decays $$\tau \rightarrow Pl$$ τ → P l ($$P=\pi ,\eta ,\eta ';\;l=e,\mu $$ P = π , η , η ′ ; l = e , μ ) in the scenario of the minimal R-symmetric supersymmetric standard model. The prediction on the branching ratios BR$$(\tau \rightarrow P e)$$ ( τ → P e ) and BR$$(\tau \rightarrow P \mu )$$ ( τ → P μ ) is affected by the mass insertion parameters $$\delta ^{13}$$ δ 13 and $$\delta ^{23}$$ δ 23 , respectively. These parameters are constrained by the experimental bounds on the branching ratios BR($$\tau \rightarrow e (\mu ) \gamma $$ τ → e ( μ ) γ ) and BR($$\tau \rightarrow 3e(\mu )$$ τ → 3 e ( μ ) ). The result shows Z penguin dominates the prediction on BR($$\tau \rightarrow Pl$$ τ → P l ) in a large region of the parameter space. The branching ratios for BR($$\tau \rightarrow Pl$$ τ → P l ) 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.