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.
Highlights
Assuming the integrated luminosity of 50 ab−1, the future prospects of BR(τ → Pl) in Belle II will be extrapolated at the level of O(10−9–10−10) [9].In various extensions of the standard model (SM), corrections to BR(τ → Pl) are enhanced by different lepton flavor violating (LFV) sources
There are a few studies within non-SUSY models, such as two Higgs doublet models [10,11], 331 model [12], TC2 models [13], littlest Higgs model with T parity [14], simplest little Higgs model [15], leptoquark models [16,17] and unparticle model [18]
All the trilinear scalar couplings involving Higgs bosons to squark and slepton are forbidden in Eq (2) because the sfermions have an R-charge and these terms are non Rinvariant, and this has relaxed the flavor problem of the MSSM [40]
Summary
Assuming the integrated luminosity of 50 ab−1, the future prospects of BR(τ → Pl) in Belle II will be extrapolated at the level of O(10−9–10−10) [9]. All the trilinear scalar couplings involving Higgs bosons to squark and slepton are forbidden in Eq (2) because the sfermions have an R-charge and these terms are non Rinvariant, and this has relaxed the flavor problem of the MSSM [40]. Assuming the vacuum expectation values are real, the real and imaginary components in four complex neutral scalar fields do not mix, and the mass-square matrix breaks into two 4 × 4 sub-matrices. In the pseudo-scalar sector there is no mixing between the MSSM-like states and the singlet-triplet states, and the 4 × 4 mass-squared matrix breaks into two 2 × 2 submatrices. We present the tree-level mass matrices for scalar and pseudoscalar Higgs bosons, neutralinos, charginos and squarks of the MRSSM in Appendix A.
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