The potential for probing the impacts of the left-right symmetric model(LRM) onthe process e~+e~-→μ~+μ~-at a proposed Z0-factory is investigated. Under differentelectron-positronpolarizationcollisionmodes, wecalculateandcomparethedeviationsof various observables in the framework of the LRM from the standard model(SM)predictions, such as the total cross section, the distribution of the transverse momentumofμ~-, and the forward-backward charge asymmetry ofμ~-. In addition, we presentthe relations between the observables and the LRM parameters. We conclude that itis possible to observe the effects of the LRM on the process e~+e~-→μ~+μ~- by usingoptimal observables and favorable parameters at a Z0-factory.
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