Constrains On The New Gauge Boson Z? Predicted By The (B-L)+xY Model

At the present,Standard Model?SM?theory of particle physics succeeds in the description of a wide variety of observations,such as strong,weak and electromagnetic interactions,but it still has a lots of problems,for instance the neutrino masses and unnaturalness etc.So many new physical models beyond the SM has been raised to hope to explain these questions.Almost new physical models beyond the SM with extra U?1?? gauge groups predict the Z? boson,and the new gauge boson Z? with heavy mass has been a traditional discovery target in high energy collider experiments.Most of the work is focused on searching for heavy Z? boson on the high energy collider.Recently,there is a growing interest of a light gauge boson Z? ,as it might offer explanations for some of the experimental anomalies.The gauge extension of the Standard Model?SM?with the U?1?_B-L+xYsymmetry predicts the existence of a light gauge boson Z? .There is a growing interest for the search of new light gauge bosons.This fact has made active searches of a light neutral gauge boson or a new fundamental force in various low energy experiments.we calculate the contributions of this kind of light gauge boson Z? predicted by the?B-L?+xY model to the neutrino-electron scattering,e⁺e^-??????processes and the muon anomalous magnetic moment a_?.We compare the numerical results with the relevant experi-mental data and give the constraints on the relevant free parameters.Same as the dark photon model,the B-L+xY model allows the kinetic mixing between the U?1?_B-L+xYand SM U?1?_Ygroups and thus induces the coupling HZZ? .Taking into account of the experimental constrains on this model,we further calculate the contributions of the light gauge boson Z? to the production cross section of the Higgs strahlung processes e⁺e^-?ZH and e⁺e^-?Z?H.