A future Z-factory will offer the possibility of studying rare Z decays , such as those leading to lepton flavor violation (LFV) final states. In this work, by considering the constraints from radiative two-body decays , we investigate the LFV decays in the framework of the Minimal R-symmetric Supersymmetric Standard Model with two benchmark points from the existing literature. The flavor-violating off-diagonal entries , and are constrained by the current experimental bounds of . Considering recent experimental constraints, we also investigate Br( ) as a function of . The numerical results show that the theoretical predictions of Br( ) in the MRSSM are several orders of magnitude below the current experimental bounds. The LFV decays and may be promising observation targets in future experiments.

The searching for the electric dipole moments (EDMs) of neutron (d n ), b quark (d b ) and c quark (d c ) gives strict upper bounds on these quantities. And recently, new upper bounds on d b , d c are obtained by the strict limit on d n . The models of new physics (NP) with additional CP-violating (CPV) sources are constrained strictly by these EDMs. In this work, we focus on the CPV effects on these EDMs in the minimal supersymmetric extension (MSSM) of the SM with local B −L gauge symmetry (B-LSSM). The contributions from one-loop and some two-loop diagrams to the quark EDM are given in general form, which can also be used in the calculation of quark EDM in other models of NP. Considering the constrains from updated experimental data, the numerical results show that the two-loop corrections can make important contributions to these EDMs. Compared with the MSSM, the effects of new CPV phases and new parameters in the B-LSSM on these EDMs are also explored. PACS numbers:

We analyze the lepton flavor violating process μ-e conversion in the framework of the minimal R-symmetric supersymmetric standard model. The theoretical predictions are determined by considering the experimental constraint on parameter δ 12 from the lepton flavor violating decay μ → eγ. The predictions for CRðμ − e; nucleusÞ in nuclei are not sensitive to tan β or m A and take values in a narrow region. The numerical results show that γ penguins dominate the predictions on CRðμ − e; nucleusÞ, and the contribution from Higgs penguins is insignificant. The Z penguins and box diagrams are less dominant in the predictions on CRðμ − e; nucleusÞ in a large parameter region. For small squark mass parameter, the contribution from box diagrams is comparable with dipole contribution from γ penguins. The theoretical predictions on conversion rate CRðμ − e; nucleusÞ in an Al or Ti target can be enhanced close to the future experimental sensitivities and are very promising to be observed in near future experiments.

Lepton flavor violation decays are channels which may lead to fundamental discoveries in the forthcoming years and this makes it an exciting research field for beyond the Standard Model (SM) searches. In this work, we present an analysis of the lepton flavor violation decays [Formula: see text] in Minimal R-symmetric Supersymmetric Standard Model. The prediction for [Formula: see text] depends on the off-diagonal entries of the slepton mass matrix. The contributions to Wilson coefficients can be classified into Higgs penguins, photon penguins, Z penguins and box diagrams. It shows the contribution from Z penguins dominates the predictions for [Formula: see text], and the contributions from Higgs penguins and box diagrams play different roles in different decay channels. The theoretical predictions for [Formula: see text] can reach the future experimental limits, and the channels are very promising to be observed in near future experiment.