Bounds of the mass of Z′ and the neutral mixing angles in general SU(2)_LxSU(2)_RxU(1) models

We consider phenomenological constraints on the mass M_Z′ and the mixing angles θ_R and ξ of the neutral sector in general SU(2)_LxSU(2)_RxU(1) models using electroweak data. The analysis of the neutral sector has the advantage that it has relatively fewer parameters compared to the charged sector since the Cabibbo-Kobayashi-Maskawa matrix elements in the right-handed sector are not involved. We consider the theoretical relations between the gauge boson masses and the mixing angles. We combine the precision electroweak data from CERN LEP I and the low-energy neutral-current experimental data to constrain the parameters in the model. It turns out that M_Z′>430 GeV, -0.00040<ξ<0.0037, with little constraint on θ_R. Using these constraints, we compare σ(e⁺e^-→μ⁺μ^-), σ(e⁺e^-→bb̄), and A_FB^l with the experimental data at LEP II.