Noncommutative approach to diagnose degenerate Higgs bosons at 125 GeV

TL;DR

This paper introduces a noncommutative scalar field theory to explore how noncommutativity influences Higgs mechanisms, revealing degenerate Higgs bosons near 126.5 GeV and noncommutative effects on gauge field masses.

Contribution

It presents a novel noncommutative framework for scalar field theory, demonstrating its impact on Higgs mass, VEV, and gauge field masses, with implications for Higgs boson degeneracy.

Findings

Discovery of degenerate Higgs bosons near 126.5 GeV influenced by noncommutativity.

Noncommutative parameter affects Higgs mass and vacuum expectation value.

Gauge field masses receive contributions from noncommutative effects.

Abstract

We propose a noncommutative (NC) version for a global O(2) scalar field theory, whose damping feature is introduced into the scalar field theory through the NC parameter. In this context, we investigate how noncommutative drives spontaneous symmetry breaking (SSB) and Higgs-Kibble mechanisms and how the damping feature workout. Indeed, we show that the noncommutativity plays an important role in such mechanisms, i.e., the Higgs mass and VEV dependent on NC parameter. After that, it is explored the consequences of noncommutativity dependence of Higgs mass and VEV: for the first, it is shown that there are a mass-degenerate Higgs bosons near 126.5 GeV, parametrized by the noncommutativity; for the second, the gauge fields gain masses that present a noncommutativity contribution.