Slepton Non-Universality in the Flavor-Effective MSSM

TL;DR

This paper investigates how flavor symmetries in supersymmetric models influence lepton flavor violations, focusing on three specific flavor symmetry groups and their phenomenological implications.

Contribution

It analyzes the impact of different flavor symmetry groups on slepton non-universality and leptonic flavor observables within the flavor-effective MSSM framework.

Findings

Different flavor groups lead to distinct predictions for lepton flavor violation.

Slepton mass non-universality varies significantly with the chosen flavor symmetry.

The models provide testable predictions for upcoming lepton flavor experiments.

Abstract

Supersymmetric theories supplemented by an underlying flavor-symmetry $\mathcal{G}_f$ provide a rich playground for model building aimed at explaining the flavor structure of the Standard Model. In the case where supersymmetry breaking is mediated by gravity, the soft-breaking Lagrangian typically exhibits large tree-level flavor violating effects, even if it stems from an ultraviolet flavor-conserving origin. Building on previous work, we continue our phenomenological analysis of these models with a particular emphasis on leptonic flavor observables. We consider three representative models which aim to explain the flavor structure of the lepton sector, with symmetry groups $\mathcal{G}_f = \Delta(27)$, $A_4,$ and $S_3$.