(Extra)Ordinary Gauge/Anomaly Mediation

TL;DR

This paper investigates models combining anomaly and gauge mediation with general messenger mass matrices, deriving sum rules for scalar masses, addressing tachyonic slepton issues, and exploring viable gaugino mass spectra.

Contribution

It introduces a framework for mixed anomaly and gauge mediation with general messenger structures, deriving new sum rules and solutions for tachyonic sleptons.

Findings

Sum rules for scalar masses are derived for different generations.

A parameter space is identified where tachyonic sleptons are avoided.

Viable gaugino mass spectra are achieved through combined mediation effects.

Abstract

We study anomaly mediation models with gauge mediation effects from messengers which have a general renormalizable mass matrix with a supersymmetry-breaking spurion. Our models lead to a rich structure of supersymmetry breaking terms in the visible sector. We derive sum rules among the soft scalar masses for each generation. Our sum rules for the first and second generations are the same as those in general gauge mediation, but the sum rule for the third generation is different because of the top Yukawa coupling. We find the parameter space where the tachyonic slepton problem is solved. We also explore the case in which gauge mediation causes the anomalously small gaugino masses. Since anomaly mediation effects on the gaugino masses exist, we can obtain viable mass spectrum of the visible sector fields.