Lifting Slepton Masses with a Non-universal, Non-anomalous U(1)'_{NAF} in Anomaly Mediated SUSY breaking

TL;DR

This paper proposes a non-anomalous U(1)'_{NAF} gauge symmetry extension of the MSSM that resolves the tachyonic slepton problem in anomaly mediated SUSY breaking while naturally explaining fermion mass hierarchies.

Contribution

Introduction of a non-anomalous U(1)'_{NAF} symmetry that cancels anomalies without extra exotics, providing positive slepton mass contributions and explaining fermion hierarchies.

Findings

Solves tachyonic slepton mass problem in AMSB

Generates realistic fermion mass hierarchies

Predicts specific sparticle mass spectrum

Abstract

We extend the Minimum Supersymmetry Standard Model by a non-anomalous family (NAF) U(1)'_{NAF} gauge symmetry. All gauge anomalies are cancelled with no additional exotics other than the three right-handed neutrinos. The FI D-terms associated with the U(1)'_{NAF} symmetry lead to additional positive contributions to slepton squared masses. In a RG invariant way, this thus solves the tachyonic slepton mass problem in Anomaly Mediated Supersymmetry Breaking. In addition, the U (1)'_{NAF} symmetry naturally gives rise to the fermion mass hierarchy and mixing angles, and determines the mass spectrum of the sparticles.