Radiative generation of the Higgs potential

Abstract

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.

Comments: 12 pages, 14 figure files, Accepted for a publication in Phys. Lett. B, v3: errors in the beta function of the B-L Higgs quartic coupling are corrected and the previous analysis is repeated in a generalized B-L symmetry