  In this talk we present a numerical lattice study of an SU(3) gauge model
where an SU(2) doublet of non-Abelian strongly interacting fermions is coupled
to a complex scalar field doublet via a Yukawa and a Wilson-like term. The
model enjoys an exact symmetry, acting on all fields, which prevents UV power
divergent fermion mass corrections, despite the presence of these two chiral
breaking operators in the Lagrangian. In the phase where the scalar potential
is non-degenerate and fermions are massless, the bare Yukawa coupling can be
set at a critical value at which chiral fermion transformations become
symmetries of the theory. Numerical simulations in the Nambu-Goldstone phase of
the critical theory, for which the renormalized Yukawa coupling by construction
vanishes, give evidence for non-perturbative generation of a UV finite fermion
mass term in the effective action.
