The B-L+xY Model and the Higgs-strahlung Processes at a Collider

The gauge extension of the standard model with the U(1)_B-L+xY symmetry predicts the existence of a light gauge boson Z' with small couplings to ordinary fermions. We discuss its contributions to the muon anomalous magnetic moment a_\mu. Taking account of the constraints on the relevant free parameters, we further calculate the contributions of the light gauge boson Z' to the Higgs-strahlung processes e^+e^-\rightarrow ZH and e^+e^-\rightarrow Z'H.