A hidden solution to the mu/B_mu problem in gauge mediation

TL;DR

This paper presents a novel gauge mediation solution to the mu/B_mu problem by leveraging hidden sector dynamics, resulting in a suppressed B_mu and a distinctive superpartner spectrum as a potential experimental signature.

Contribution

It introduces a new mechanism using hidden sector dynamics to generate and balance mu and B_mu in gauge mediation models, addressing a longstanding issue.

Findings

A simple messenger sector generates mu and B_mu at one loop.

Strong hidden sector effects suppress B_mu relative to mu.

Predicted superpartner spectrum serves as a signature of the mechanism.

Abstract

We propose a solution to the mu/B_mu problem in gauge mediation. The novel feature of our solution is that it uses dynamics of the hidden sector, which is often present in models with dynamical supersymmetry breaking. We give an explicit example model of gauge mediation where a very simple messenger sector generates both mu and B_mu at one loop. The usual problem, that B_mu is then too large, is solved by strong renormalization effects from the hidden sector which suppress B_mu relative to mu. Our mechanism relies on an assumption about the signs of certain incalculable anomalous dimensions in the hidden sector. Making these assumptions not only allows us to solve the mu/B_mu problem but also leads to a characteristic superpartner spectrum which would be a smoking gun signal for our mechanism.