Phenomenological Constraints on Supersymmetric Models with an Anomalous U(1) Flavor Symmetry

TL;DR

This paper explores supersymmetric models with an anomalous U(1) symmetry that explains fermion mass hierarchies and influences supersymmetry breaking, resulting in specific particle spectrum predictions.

Contribution

It introduces a bottom-up model building approach for supersymmetric models with anomalous U(1) symmetry, detailing conditions for viable particle spectra.

Findings

Degenerate squark and slepton spectra are favored.

Heavy gauginos are predicted.

Specific Kähler potential features enable these spectra.

Abstract

We investigate supersymmetric models in which an anomalous $U(1)_{X}$ symmetry explains the Yukawa hierarchy, and the related $D_{X}$-term plays a role in supersymmetry breaking. We use a bottom-up approach to model building. Phenomenological viability leads to a scenario with degenerate squark and slepton spectra and with heavy gauginos. Features of a K\"ahler potential that allows for such a scenario are described.