The Minimal Solution to the mu/Bmu Problem in Gauge Mediation

Abstract

We provide a minimal solution to the mu/Bmu problem in the gauge mediated supersymmetry breaking by introducing a Standard Model singlet filed S with a mass around the messenger scale which couples to the Higgs and messenger fields. This singlet is nearly supersymmetric and acquires a relatively small Vacuum Expectation Value (VEV) from its radiatively generated tadpole term. Consequently, both mu and Bmu parameters receive the tree-level and one-loop contributions, which are comparable due to the small S VEV. Because there exists a proper cancellation in such two kinds of contributions to Bmu, we can have a viable Higgs sector for electroweak symmetry breaking.

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