Gauge unification in noncommutative geometry

TL;DR

This paper explores how extending the noncommutative standard model with vector doublets can achieve gauge coupling unification at around 10^13 GeV, differing from traditional grand unified theories.

Contribution

It introduces a noncommutative standard model extension with vector doublets that enables gauge coupling unification at a specific high energy scale.

Findings

Gauge couplings unify at ~10^13 GeV in the extended model.

Relations of coupling constants at unification are modified.

Standard model does not naturally unify gauge couplings.

Abstract

Gauge unification is widely considered to be a desirable feature for extensions of the standard model. Unfortunately the standard model itself does not exhibit a unification of its running gauge couplings but it is required by grand unified theories as well as the noncommutative version of the standard model [2]. We will consider here the extension of the noncommutative standard model by vector doublets as proposed in [6]. Two consequences of this modification are: 1. the relations of the coupling constants at unification energy are altered with respect to the well known relation from grand unified theories. 2. The extended model allows for unification of the gauge couplings at ~10^(13) GeV.