# Noncommutative approach to disclose a Higgs group

## TL;DR

This paper introduces a noncommutative framework for a global O(N) scalar field theory, revealing how noncommutativity influences spontaneous symmetry breaking and predicting a Higgs group with at most two Higgs bosons, with specific mass scenarios.

## Contribution

It proposes a noncommutative version of scalar field theory and explores its impact on Higgs boson mass predictions and symmetry breaking mechanisms.

## Key findings

- Noncommutativity affects spontaneous symmetry breaking.
- Possible Higgs group with up to two Higgs bosons.
- Predicted mass scenarios include near 125 GeV and 750 GeV/2 TeV.

## Abstract

A noncommutative(NC) version for a global $O(N)$ scalar field theory is proposed and an alternative investigation about how noncommutative drives spontaneous symmetry breaking (SSB) is explored. Indeed, we show that the noncommutativity plays an important role in such mechanism, i.e., it is possible to show that there is a Higgs group with no more than two Higgs bosons. In this scenario, we establish two mutually exclusive options: one Higgs boson with mass at 125 GeV and other at 750 GeV -- 2 TeV excess does not imply a 2 TeV mass resonance -- or two Higgs bosons with mass-degenerate near 125~GeV, where 2 TeV and 750 GeV excesses do not imply a 2 TeV and 750 GeV masses resonance.