Natural mu and Bmu in gauge mediation

TL;DR

This paper presents a natural solution to the mu problem in gauge mediation by leveraging the logarithmic dependence of the Kahler potential, resulting in mu and Bmu terms at different loop orders and addressing CP violation issues.

Contribution

It introduces a novel mechanism where mu and Bmu are generated at different loop levels through the Kahler potential's dependence, solving the mu problem naturally.

Findings

mu and Bmu are generated at one and two loops respectively

The phase of B matches that of the gaugino mass, solving the CP problem

The approach provides a natural solution within gauge mediation frameworks

Abstract

We propose a natural solution to the mu problem in gauge mediation. It relies on the logarithmic dependence of the effective Kahler potential on the messenger threshold superfield X. Thus, mu and Bmu naturally arise at one and two loops, respectively. Moreover B has the same phase as the gaugino mass and the supersymmetric CP problem is solved as well.