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

Understand

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.