Classical Scale Invariance, Dark Matter and Neutrinos in a SU(3)_L x U(1)_N x U(1)_X Model

Abstract

The stability of the electroweak scale, the mass generation mechanism for the neutrinos and the nature of dark matter are among the main problems that have motivated the developments in particle physics. This project proposes an investigation of a classe of Standard Model extensions in which the gauge symmetry is broken dynamically via the Coleman-Weinnberg mechanism, triggering a mechanism for neutrino mass along with a dark matter candidate. We will consider models where the electroweak symmetry group SU(2)_L x U(1)_Y of the Standard Model is extended to SU(3)_L x U(1)_N x U(1)_X. These sort of models have new neutrino fields allowing to build up mass generation mechanisms for neutrinos such as the inverse seesaw or the Dirac seesaw. Also, our preliminary studies shown that a remnant discrete Z_N symmetry from the breakdown of the gauge symmetries can stabilize a dark matter candidate. Given that a consistent symmetry breakdown pattern in the models require a set up of scalar fields, we will use techniques based on the Gildener-Weinberg method to compute the effective potential aiming to derive phenomenological consequences of the new particle content, in special the dark matter candidate.