Testing a U(1) Solution to the Mu Problem

TL;DR

This paper explores how TeV-scale Z' gauge bosons could be used at the LHC to test if a gauge symmetry forbids the mu-term in supersymmetric models, providing potential collider signatures for this mechanism.

Contribution

It proposes collider signatures involving Z' decays to Higgsinos as a test for gauge symmetry solutions to the mu problem, highlighting observable multi-lepton signals.

Findings

Z' decays to Higgsinos can test the mu-term suppression

Multi-lepton final states may be detectable at the LHC

Potential to confirm gauge symmetry as the reason for mu-term absence

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.