  We consider the minimal extension of the Standard Model with a generalized
B-L gauge symmetry U(1)_X for generating the Higgs potential radiatively.
Assuming that the full scalar potential vanishes at the vacuum instability
scale, we achieve the goal in terms of two free parameters, the X gauge
coupling and the right-handed neutrino Yukawa coupling. The X gauge symmetry is
broken spontaneously by the Coleman-Weinberg mechanism while the scale symmetry
breakdown induces electroweak symmetry breaking through the radiative
generation of appropriate scalar quartic couplings. We show that there is a
reasonable parameter space that is consistent with a correct electroweak
symmetry breaking and the observed Higgs mass.
