Lepton flavor violations in SUSY models for muon g \u2212 2 with right-handed neutrinos

Ryo Nagai,Norimi Yokozaki

doi:10.1007/jhep01(2021)099

Abstract

We consider supersymmetric (SUSY) models for the muon g − 2 anomaly without flavor violating masses at the tree-level. The models can avoid LHC constraints and the vacuum stability constraint in the stau-Higgs potential. Although large flavor violating processes are not induced within the framework of minimal SUSY standard model, once we adopt a seesaw model, sizable lepton flavor violating (LFV) processes such as μ → eγ and μ → e conversion are induced. These LFV processes will be observed at future experiments such as MEG-II, COMET and Mu2e if right-handed neutrinos are heavier than 109 GeV motivated by the successful leptogenesis. This conclusion is somewhat model independent since Higgs doublets are required to have large soft SUSY breaking masses, leading to flavor violations in a slepton sector via neutrino Yukawa interactions.

Highlights

We find that the future lepton flavor violating (LFV) experiments can investigate the parameter region for muon g − 2 if the RH neutrinos are heavier than 108 GeV
We see that the model with bino-wino coannihilation (model B) can explain muon g − 2, and the favorable parameter region can be tested by future LFV experiments if the RH neutrino are heavier than 107 GeV
We observe that the model with bino-slepton coannihilation (model C) can explain muon g − 2 keeping the consistency with the current LFV measurements, and the future LFV experiments can test the parameter region

Summary

The superpotential is

The canonically normalized kinetic terms for φI , Hu and Hd are obtained by the following field redefinitions: φI → (1 − hf i /3)1/2 φI ,. Note that k5 , k3H and k1H are real respecting the shift symmetry so that no CP violating phases arise from the gaugino masses. Where M1 , M2 and M3 are the bino, wino and gluino masses, respectively; N is a real constant depending on the U(1)H charge of the GUT breaking Higgs field; we have rescaled the gauge couplings as ga−2 → ga−2 + 2ka hZi. We note that the gaugino masses are nonuniversal at the GUT scale, which is important to explain the muon g − 2 while avoiding. [24], focusing on the binowino coannihilation region [52], where the bino and wino masses are quasi degenerated at the EWSB scale We refer to this model as the model B. To construct a model with the shift symmetry is not difficult

The superpotential is given by

Br l

Ge slepton LSP

Conclusion