$R$-symmetric Gauge Mediation With Fayet-Iliopoulos Term

TL;DR

This paper explores $R$-symmetric gauge mediation models incorporating Fayet-Iliopoulos terms, providing a concrete hidden sector example that generates distinctive soft terms and addresses fine-tuning issues.

Contribution

It introduces a specific hidden sector model with Fayet-Iliopoulos terms that influence soft terms in $R$-symmetric gauge mediation, offering a novel approach to fine-tuning problems.

Findings

Concrete hidden sector example with $U(1)_H$ gauge theory

Induction of distinctive soft terms in the visible sector

Potential solution to fine-tuning problems in $R$-symmetric models

Abstract

We have studied $R$-symmetrc gauge mediation models with Fayet-Iliopoulos terms. We give a concrete example of hidden sector with an $U(1)_H$ gauge theory and a Fayet-Iliopoulos term, which can induce distinctive soft terms in the visible sector, and help solving fine tuning problems in models of $R$-symmetric gauge mediation.