  Recently, we have found an exact solution to the full set of Dyson-Schwinger
equations of the non-interacting part of the Higgs sector of the Standard Model
obtained by solving the 1-point correlation function equation. In this work we
extend this analysis considering also the other possible solution that is the
one experimentally observed in the Standard Model. Indeed, the same set of
Dyson-Schwinger equations can be exactly solved for the Standard Model with a
constant as a solution for the 1-point correlation function. Differently from
the Standard Model solution, the one we have found has a mass spectrum of a
Kaluza-Klein particle. This could be a clue toward the identification of a
further space dimension. Gap equations are obtained in both cases as also the
running self-coupling equations.

High Energy Physics - Phenomenology;High Energy Physics - Theory