  We present a lattice computation of the effective potential for
O(2)-invariant $(\lambda\Phi^4)_4$ theory in the region of bare parameters
corresponding to a classically scale-invariant theory. As expected from
``triviality'' and as in the one-component theory, we find very good agreement
with the one-loop prediction, while a perturbative leading-log improvement of
the effective potential fails to reproduce the Monte Carlo data. The mass $m_h$
of the free shifted radial field is related to the renormalized vacuum
expectation value $v_R$ through the same relation $m^2_h=8\pi^2 v^2_R$ as in
the one-component case. This confirms the prediction of a weakly interacting
2.2 TeV Higgs particle in the standard model.
