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

A bstract Exotic neutral gauge bosons are powerful candidates for new physics beyond the Standard Model. The Left-Right Symmetric Model is a well-motivated framework that addresses several open questions in particle physics, including neutrino masses, dark matter, and the matter-antimatter asymmetry. It predicts new gauge bosons, such as Z ′ and W ′±, along with additional right-handed particles. We investigate the processes μ + μ − → qq q q ¯ and μ + μ − → l + l − with the Z ′ boson appearing as an intermediate state. The coupling strength, decay width and mass are the key parameters that govern the production and decay of the Z ′ boson. The results indicate that the angular distributions of final-state particles are sensitive to the couplings of Z ′ to the other fermions. The forward-backward asymmetry, derived from angular distributions, serves as a sensitive observable for distinguishing Standard Model predictions from those involving Z ′ exchange. It also provides a powerful probe of the Z ′ couplings to fermions. Compared with the current results at the Large Hadron Collider (LHC), the future muon collider has great potential to explore new parameter space with the Z ′ boson.