Lepton Flavor Violation in Flavored Gauge Mediation

TL;DR

This paper explores how Flavored Gauge Mediation models suppress lepton flavor violation, allowing compatibility with experimental constraints and potentially addressing the muon g-2 anomaly.

Contribution

It demonstrates that FGM models with simple U(1) flavor structures can evade LFV constraints and explain the muon g-2 anomaly with light superpartners.

Findings

FGM models suppress LFV processes effectively.

Models can accommodate large neutrino mixing angles.

Compatibility with muon g-2 anomaly is achieved.

Abstract

We study the anatomy and phenomenology of Lepton Flavor Violation (LFV) in the context of Flavored Gauge Mediation (FGM). Within FGM, the messenger sector couples directly to the MSSM matter fields with couplings controlled by the same dynamics that explains the hierarchies in the SM Yukawas. Although the pattern of flavor violation depends on the particular underlying flavor model, FGM provides a built-in flavor suppression similar to wave function renormalization or SUSY Partial Compositeness. Moreover, in contrast to these models, there is an additional suppression of left-right (LR) flavor transitions by third-generation Yukawas that in particular provides an extra protection against flavor-blind phases. We exploit the consequences of this setup for lepton flavor phenomenology, assuming that the new couplings are controlled by simple U(1) flavor models that have been proposed to accommodate large neutrino mixing angles. Remarkably, it turns out that in the context of FGM these models can pass the impressive constraints from LFV processes and leptonic EDMs even for light superpartners, therefore offering the possibility of resolving the longstanding muon g-2 anomaly.