Effective Field Theory Analysis on {\mu} Problem in Low-Scale Gauge Mediation

TL;DR

This paper analyzes the mbda problem in low-scale gauge mediation using effective field theory, classifying parameter space and uncovering new solution classes with phenomenological implications.

Contribution

It provides a systematic classification of solutions to the mbda problem in low-scale gauge mediation and introduces two new classes of solutions.

Findings

Reproduction of some old proposals in the literature.

Uncovering two new classes of solutions.

Discussion of phenomenological implications.

Abstract

Supersymmetric models based on the scenario of gague mediation often suffer from the well-known $\mu$ problem. In this paper, we reconsider this problem in low-scale gauge mediation in terms of effective field theory analysis. In this paradigm, all high energy input soft mass can be expressed via loop expansions. If the corrections coming from messenger thresholds are small, as we assume in this letter, then RG evaluations can be taken as linearly approximation for low-scale supersymmetric breaking. Due to these observations, the parameter space can be systematically classified and studied after constraints coming from electro-weak symmetry breaking are imposed. We find that some old proposals in the literature are reproduced, and two new classes are uncovered. We refer to a microscopic model, where the specific relations among coefficients in one of the new classes are well motivated. Also, we discuss some primary phenomenologies.