Supersymmetric gauged $$ \mathrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ model for electron and muon (g − 2) anomaly

Minimal gauged $$ \mathrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ U 1 L μ − L τ models can provide for an additional source for the muon anomalous magnetic moment however it is difficult to accommodate the discrepancy in the electron magnetic moment in tandem. Owing to the relative sign between the discrepancies in these quantities, it seems unlikely that they arise from the same source. We show that a supersymmetric (SUSY) gauged $$ \mathrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} $$ U 1 L μ − L τ model can accommodate both the muon and electron anomalous magnetic moments in a very simple and intuitive scenario, without utilizing lepton flavor violation. The currently allowed parameter space in this kind of a scenario is constrained from the latest LHC and various low energy experimental data,e.g., recent COHERENT data, CCFR, Borexino, BaBaR, supernova etc. These constraints, in conjunction with the requirement to explain both lepton magnetic moments, lead to an upper bound on the first generation slepton mass, a lower bound on the second generation slepton mass and constricts the allowed range for the new gauge boson mass and coupling. The scheme can be probed at the ongoing COHERENT and Coherent CAPTAIN-Mills experiments and at future experiments, e.g., DUNE, BELLE-II etc.

One-loop correction to Z → νν in the minimal R-symmetric supersymmetric Standard Model

We analyze the one-loop correction to [Formula: see text] decay in framework of Minimal R-symmetric Supersymmetric Standard Model (MRSSM) in detail with normal and inverse neutrino mass orderings, as a function of [Formula: see text], Dirac mass parameters [Formula: see text] and [Formula: see text], slepton mass [Formula: see text] that parametrize the mass matrices. The numerical results indicate that the branching ratio for [Formula: see text] decay is compatible with the experimental measurement and the SM expectation at [Formula: see text] level. For inverse neutrino mass ordering, the prediction exceeds the SM expectation at [Formula: see text] level. The prediction on [Formula: see text] increases proportionally to [Formula: see text] and inversely proportionally to [Formula: see text]. For normal neutrino mass ordering, the peak value of the prediction on [Formula: see text] exceeds the SM expectation at [Formula: see text] level.

PROBING SO(10) SYMMETRY BREAKING PATTERNS THROUGH SFERMION MASS RELATIONS

We consider supersymmetric SO(10) grand unification where the unified gauge group can break to the Standard Model gauge group through different chains. The breaking of SO(10) necessarily involves the reduction of the rank, and consequent generation of nonuniversal supersymmetry breaking scalar mass terms. We derive squark and slepton mass relations, taking into account these nonuniversal contributions to the sfermion masses, which can help distinguish between the different chains through which the SO(10) gauge group breaks to the Standard Model gauge group. We then study some implications of these nonuniversal supersymmetry breaking scalar masses for the low energy phenomenology.