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

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^, W^ have been put forward as well as other new right-handed particles. We investigate the ^+ ^- qq and ^+ ^- l^+ l^- processes involving the Z^ 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^ boson. The results indicate that the angular distributions of final particles are sensitive to the couplings of Z^ 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^ participated and they are also appropriate observables to discriminate the couplings of Z^ 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^ boson.