On soft SUSY breaking parameters in string models with anomalous U(1) symmetry

TL;DR

This paper investigates the size of soft SUSY breaking parameters in heterotic string models with anomalous U(1) symmetry, highlighting the significance of D-term contributions under certain mediation scenarios.

Contribution

It provides an analysis of the relative magnitudes of soft SUSY breaking parameters, emphasizing the role of D-term contributions in models with anomalous U(1) symmetry.

Findings

D-term contributions can dominate soft scalar masses.

Gravitational mediation influences the size of SUSY breaking parameters.

Vacuum energy magnitude affects the dominance of D-term contributions.

Abstract

We study the magnitudes of soft SUSY breaking parameters in heterotic string models with anomalous U(1) symmetry. In most cases, D-term contribution to soft scalar masses is expected to be comparable to or dominant over other contributions provided that supersymmetry breaking is mediated by the gravitational interaction and/or an anomalous U(1) symmetry and the magnitude of vacuum energy is not more than of order $m_{3/2}^2 M^2$.