The mass of the Higgs boson in the trinification subgroup of E6

TL;DR

This paper explores an extension of the standard model based on the SU(3)_L x SU(3)_R x SU(3)_C symmetry, predicting the Higgs boson mass to be approximately 125 GeV through a hierarchical symmetry-breaking mechanism.

Contribution

It introduces a novel approach to Higgs mass prediction within a trinification subgroup of E6 using hierarchical vacuum expectation values and invariant potentials.

Findings

Predicted Higgs mass close to 125 GeV

Constructed invariant potentials matching large VEVs

Demonstrated hierarchical symmetry breaking effects

Abstract

The extension of the standard model to SU(3)_L x SU(3)_R x SU(3)_C is considered. Spontaneous symmetry breaking requires two Higgs field multiplets with a strong hierarchical structure of vacuum expectation values. These vacuum expectation values, some of them known from experiment, are used to construct invariant potentials in form of a sum of individual potentials relevant at the weak scale. As in a previous suggestion one may normalize the most important individual potentials such that their mass eigenvalues agree with their very large vacuum expectation values. In this case (for a wide class of parameters) the scalar field corresponding to the standard model Higgs turns out to have the precise mass value m_Higgs = v/sqrt(2) = 123 GeV at the weak scale. The physical mass (pole mass) is larger and found to be 125 +/- 1.4 GeV.