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 $$\\tau \\rightarrow Pl$$\n (\n $$P=\\pi ,\\eta ,\\eta \u0027;\\;l=e,\\mu $$\n ) in the scenario of the minimal R-symmetric supersymmetric standard model. The prediction on the branching ratios BR\n $$(\\tau \\rightarrow P e)$$\n and BR\n $$(\\tau \\rightarrow P \\mu )$$\n is affected by the mass insertion parameters $$\\delta ^{13}$$\n and $$\\delta ^{23}$$\n , respectively. These parameters are constrained by the experimental bounds on the branching ratios BR(\n $$\\tau \\rightarrow e (\\mu ) \\gamma $$\n ) and BR(\n $$\\tau \\rightarrow 3e(\\mu )$$\n ). The result shows Z penguin dominates the prediction on BR(\n $$\\tau \\rightarrow Pl$$\n ) in a large region of the parameter space. The branching ratios for BR(\n $$\\tau \\rightarrow Pl$$\n ) 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.