BB¯mixing andCPviolation inSU(2)L×SU(2)R×U(1)models

We reexamine the mass mixing and $\mathrm{CP}$ violation in the $B\overline{B}$ system in general ${\mathrm{SU}\left(2\right)\mathrm{}}_L\times {\mathrm{SU}\left(2\right)\mathrm{}}_R\times U\left(1\right)\mathrm{}$ models related to recent measurements without imposing manifest or pseudomanifest left-right symmetry. For certain parameter sets, the right-handed contributions can be sizable in $B\overline{B}$ mixing and $\mathrm{CP}$ asymmetry in B decays for a heavy $W^{\prime }$ even with a mass about 3 TeV. On the other hand the lower bound on the mass of $W^{\prime }$ can be taken down to approximately 300 GeV.