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

TL;DR

This paper explores SUSY models addressing the muon g-2 anomaly that avoid LHC and stability constraints, predicting observable lepton flavor violation signals if right-handed neutrinos are sufficiently heavy.

Contribution

It demonstrates that SUSY models with seesaw mechanisms can induce detectable LFV processes without conflicting with existing constraints.

Findings

LFV processes like μ→eγ are predicted to be observable in future experiments.

Heavy right-handed neutrinos (>10^9 GeV) are crucial for leptogenesis and LFV signals.

Models avoid LHC constraints and vacuum stability issues.

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 $\mu \to e \gamma$ and $\mu \to e$ 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 $10^9$ 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.