Wednesday, June 20, 2012

1206.4233 (Berthold Stech)

The mass of the Higgs boson in the trinification subgroup of E6    [PDF]

Berthold Stech
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 is found to have the precise mass value m_Higgs = v/sqrt(2) = 123 GeV at the scale v. The physical mass (pole mass) is larger and lies at about 124 GeV.
View original: http://arxiv.org/abs/1206.4233

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