Embedding cosmological inflation, axion dark matter and seesaw mechanism in a 3-3-1 gauge model

J.G Ferreira,C.A De S Pires,J.G Rodrigues,P.S Rodrigues Da Silva

doi:10.1016/j.physletb.2017.05.034

Abstract

The Peccei–Quinn symmetry is an intrinsic global symmetry of the 3-3-1 gauge models. Its spontaneous breaking mechanism engendering an invisible KSVZ-like axion links the 3-3-1 models with new physics at ∼1010 GeV scale. The axion that results from this mechanism is an interesting candidate for the dark matter of the universe, while its real partner may drive inflation if radiative corrections are taken into account. This is obtained by connecting the type I seesaw mechanism with the spontaneous breaking of the Peccei–Quinn symmetry. In the end of the day we have a scenario providing a common answer to the strong-CP problem, inflation, dark matter and neutrino mass.

Highlights

The SU (3)C × SU (3)L × U (1)N (3-3-1) gauge models for the electroweak interactions are interesting in their own right
In what concerns the Peccei-Quinn (PQ) symmetry, it is an automatic symmetry of these models, elegantly solving the strong CP-problem [4]
In order to we have an invisible axion a neutral scalar singlet must be added to the conventional scalar sector [7][8][9]

Summary

INTRODUCTION

The SU (3)C × SU (3)L × U (1)N (3-3-1) gauge models for the electroweak interactions are interesting in their own right. It would be very interesting if inflation could be implemented in the framework of other 3-3-1 gauge models, even without supersymmetry At this point we would like to remark that a possible way of providing a common origin to cosmological inflation, the cold dark mater, neutrino masses and solution to the strong. CP-problem is by adding exotic vector like quarks, right-handed neutrinos and neutral scalar singlet to the standard model, building a scenario called SMASH [20][21][22][23]. This packet of new particles together with adequate interactions allows the implementation of the PQ symmetry in the standard models. At this point it is important to remark that the incorporation of PQ symmetry in 3-3-1 model as done here has as main purpose the explanation of the strong CP-problem and, as a byproduct, the fact that the invisible axion fulfill the conditions to be a viable dark matter candidate

IMPLEMENTING INFLATION

SOME REMARKS AND CONCLUSIONS