Minimal Anomalous U(1)' Extension of the MSSM

TL;DR

This paper explores a minimal extension of the MSSM with an anomalous U(1) gauge symmetry, utilizing the Green-Schwarz mechanism for anomaly cancellation, and investigates potential collider signals such as Z' decays to Z0 gamma and Z0 Z0.

Contribution

It introduces a novel minimal anomalous U(1) extension of the MSSM with flexible quantum numbers and analyzes specific decay channels relevant for LHC detection.

Findings

Decay rates of Z' to Z0 gamma and Z0 Z0 are around 10^{-4} GeV.

Expected LHC event counts for these decays are approximately 10 per year.

The model allows arbitrary U(1) quantum numbers due to the Green-Schwarz anomaly cancellation.

Abstract

We study an extension of the MSSM by an anomalous abelian vector multiplet and a St\"uckelberg multiplet. The anomalies are cancelled by the Green-Schwarz mechanism and the addition of Chern-Simons terms. The advantage of this choice over the standard one is that it allows for arbitrary values of the quantum numbers of the extra U(1). As a first step towards the study of hadron annihilations producing four leptons in the final state (a clean signal which might be studied at LHC) we then compute the decays $Z'\to Z_0 \g$ and $Z'\to Z_0 Z_0$. We find that the largest values of the decay rate is $\sim 10^{-4}$ GeV, while the expected number of events per year at LHC is at most of the order of 10.