Testing a U(1) Solution to the Mu Problem

Abstract

We discuss the collider phenomenology of TeV Z' gauge bosons related to the absence of a bare mu-term in the superpotential. Decays of the type Z' --> Higgsinos can directly test whether a gauge symmetry is responsible for forbidding the Higgsino mass. Decays to multi-lepton final states may allow these signatures to be observed at the Large Hadron Collider. We comment on whether it will be possible to state definitively that the mu-term is forbidden via a gauge symmetry.