Constraints on the right-$W$-boson mass in nonmanifest left-right gauge theories

We obtain a model-independent lower bound on $M_R$ of 300 GeV for a general class of ${\mathrm{SU}\mathrm{}\left(2\right)\mathrm{}}_L\times {\mathrm{SU}\mathrm{}\left(2\right)\mathrm{}}_R\times {\mathrm{U}\mathrm{}\left(1\right)\mathrm{}}_Y$ left-right theories without any assumptions about the structure of the Cabibbo-Kobayashi-Maskawa matrices or the right-handed neutrino mass. Our result is also independent of Higgs-boson, dispersive, and $W_L-W_R$ mixing contributions, and it holds for a range of bag constants.