Hidden solution to theμ/Bμproblem in gauge mediation

Abstract

We propose a solution to the $\ensuremath{\mu}/{B}_{\ensuremath{\mu}}$ 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 $\ensuremath{\mu}$ and ${B}_{\ensuremath{\mu}}$ at one loop. The usual problem, that ${B}_{\ensuremath{\mu}}$ is then too large, is solved by strong renormalization effects from the hidden sector which suppress ${B}_{\ensuremath{\mu}}$ relative to $\ensuremath{\mu}$. 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 $\ensuremath{\mu}/{B}_{\ensuremath{\mu}}$ problem but also leads to a characteristic superpartner spectrum which would be a smoking gun signal for our mechanism.