An extension of the SM based on effective Peccei-Quinn Symmetry

TL;DR

This paper proposes an extended Peccei-Quinn symmetry model that addresses the strong CP problem while linking quark and neutrino masses, dark matter, and symmetry breaking at an intermediate scale.

Contribution

It introduces a novel solution where PQ symmetry is induced by local U(1) breaking, connecting multiple fundamental issues in particle physics.

Findings

Addresses domain wall and global symmetry problems of PQ mechanism

Links neutrino mass generation and dark matter to PQ symmetry

Proposes symmetry breaking at an intermediate scale

Abstract

Peccei-Quinn (PQ) mechanism based on a chiral global U(1) symmetry is considered to be a simple and elegant solution for strong CP problem. Fact that the mechanism could be experimentally examined through the axion search makes it much more interesting and recently it causes a lot of attention again. However, it is also known that the mechanism is annoyed by two serious problems, that is, a domain wall problem and goodness of global symmetry. Any global symmetry is considered not to be exact due to the quantum effect of gravity. In this paper, we consider a solution to these problems, in which quark mass hierarchy and mixing, neutrino mass generation and existence of dark matter are closely related. In our solution, PQ symmetry is assumed to be induced through symmetry breaking at an intermediate scale of a local U(1) symmetry, and a global U(1) symmetry which plays a role of Froggatt-Nielsen symmetry . In the lepton sector, a remnant of the PQ symmetry controls neutrino mass generation and dark matter existence.