Mixed Mediation of Supersymmetry Breaking with Anomalous U(1) Gauge Symmetry

TL;DR

This paper investigates how different supersymmetry breaking mechanisms, involving modulus, gauge, anomaly, and D-term mediations, are mixed in models with anomalous U(1) symmetry, depending on D-flat directions and stabilization.

Contribution

It identifies parameters that characterize the mixing of supersymmetry breaking mediations and explores moduli stabilization and soft terms in a KKLT-like scenario with anomalous U(1).

Findings

Various mixed mediation mechanisms can be realized.

Two key parameters determine the mediation mix.

D-term potential stabilizes the Kähler modulus in the variant.

Abstract

Models with anomalous U(1) gauge symmetry contain various superfields which can have nonzero supersymmetry breaking auxiliary components providing the origin of soft terms in the visible sector, e.g. the U(1) vector superfield, the modulus or dilaton superfield implementing the Green-Schwarz anomaly cancellation mechanism, U(1)-charged but standard model singlet matter superfield required to cancel the Fayet-Iliopoulos term, and finally the supergravity multiplet. We examine the relative strength between these supersymmetry breaking components in a simple class of models, and find that various different mixed mediations of supersymmetry breaking, involving the modulus, gauge, anomaly and D-term mediations, can be realized depending upon the characteristics of D-flat directions and how those D-flat directions are stabilized with a vanishing cosmological constant. We identify two parameters which represent such properties and thus characterize how the various mediations are mixed. We also discuss the moduli stabilization and soft terms in a variant of KKLT scenario, in which the visible sector K\"ahler modulus is stabilized by the D-term potential of anomalous U(1) gauge symmetry.