Radiative generation of the Higgs potential

TL;DR

This paper proposes a minimal extension of the Standard Model with a U(1)_X gauge symmetry, where the Higgs potential is generated radiatively through the Coleman-Weinberg mechanism, aligning with observed electroweak and Higgs properties.

Contribution

It introduces a novel minimal B-L gauge extension that radiatively generates the Higgs potential, linking gauge symmetry breaking to electroweak symmetry breaking.

Findings

A viable parameter space consistent with Higgs mass

Successful radiative electroweak symmetry breaking

Compatibility with vacuum stability constraints

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.