A symmetry breaking mechanism by parity assignment in the noncommutative Higgs model

TL;DR

This paper introduces a symmetry breaking mechanism in a noncommutative Higgs model using orbifold GUT parity assignments, resulting in GUT-scale masses for certain bosons and preserving only Standard Model particles at low energies.

Contribution

It applies orbifold GUT mechanisms to a noncommutative Higgs framework, demonstrating a novel way to break gauge symmetry and achieve realistic mass spectra.

Findings

Gauge and Higgs bosons acquire GUT-scale masses.

Gauge symmetry is effectively broken without introducing extra light particles.

Only Standard Model particles remain massless at low energies.

Abstract

We apply the orbifold grand unified theory (GUT) mechanism to the noncommutative Higgs model. An assignment of $Z_{2}$ parity to the "constituent fields" induces parity assignments of both the gauge and Higgs bosons, because these bosons are treated as some kind of composite field in this formalism. As a result, some of the gauge bosons and the colored triplet Higgs boson receive heavy mass comparable to the GUT scale, and the gauge symmetry is broken. No particles appear other than the SM ones in the massless states.