Phenomenological study of heavy neutral gauge boson in the left-right symmetric model at future muon collider

TL;DR

This study explores the potential of future muon colliders to detect and analyze a hypothetical heavy neutral gauge boson ($Z'$) predicted by the left-right symmetric model, focusing on angular distributions and asymmetries.

Contribution

It provides a phenomenological analysis of $Z'$ production at muon colliders, highlighting the sensitivity of angular distributions and asymmetries to $Z'$ couplings, which aids in distinguishing new physics signals.

Findings

Angular distributions are sensitive to $Z'$ couplings.

Asymmetries can discriminate between models.

Muon colliders can explore new $Z'$ parameter space.

Abstract

The exotic neutral gauge boson is a powerful candidate for the new physics beyond the standard model. As a promising model, the left-right symmetric model has been proposed to explain the neutrino mass, dark matter, and matter-antimatter asymmetry, etc., in which exotic gauge bosons $Z^\prime, W^{\prime \pm}$ have been put forward as well as other new right-handed particles. We investigate the $\mu^+ \mu^- \to q\bar{q} $ and $ \mu^+ \mu^- \to l^+ l^- $ processes involving the $Z^\prime$ boson as an intermediate particle. The coupling strength, decay width and mass are the key parameters on the production and decay processes of the $Z^\prime$ boson. The results indicate that the angular distributions of final particles are sensitive to the couplings of $Z^\prime$ to the other fermions. Asymmetries defined from the angular distributions are ideal quantities to demonstrate the discrepancy between the standard model process and the processes with $Z^\prime$ participated and they are also appropriate observables to discriminate the couplings of $Z^\prime$ to other particles. Compared with the current results at the Large Hadron Collider (LHC), the future muon collider has a great potential to explore the new parameter space with $Z^\prime$ boson.