Obtaining Msub(W)-Msub(Z) cos theta in technicolor theories

We show that the successful relation Msub(w) = Msub(z) cos theta is preserved in the technicolor formulation of the dynamical Higgs mechanism provided only that the creation operators for Goldstone bosons associated with broken generators belong to the Isub(w)=1/2 representation of the weak isospin group. We present a plausibility argument that this is indeed the case. No additional isospin or isospin-like global SU(2) symmetries are then required allowing isospin to be spontaneously broken. This may be of help in producing a large msub(c)/msub(s) splitting. It is also shown how the weak hypercharge interaction can produce substantial vacuum isospin breaking in a theory which is only marginally asymptotically free. This mechanism predicts msub(#betta#)μ/msub(μ)approx.=(msub(s)/msub(c))3, providing a natural explanation for small neutrino masses. (orig.)