Grand Unification without Higgs Bosons

TL;DR

This paper explores a grand unified theory framework that excludes Higgs bosons, focusing on fixed points in the SU(2) sector to address unitarity and predict gauge couplings, with a unification scale around 10^{14} GeV.

Contribution

It proposes a novel grand unification model without Higgs bosons, incorporating fixed points in the SU(2) sector to solve unitarity issues and predict gauge coupling values.

Findings

Fixed point in SU(2) sector predicts gauge coupling values.

Unification scale estimated at about 10^{14} GeV.

Model maintains baryon number conservation.

Abstract

We discuss how a model for the electroweak interactions without a Higgs could be embedded into a grand unified theory. The requirement of a non-trivial fixed point in the SU(2) sector of the weak interactions together with the requirement of the numerical unification of the gauge couplings leads to a prediction for the value of the SU(2) gauge coupling in the fixed point regime. The fixed point regime must be in the TeV region to solve the unitarity problem in the elastic scattering of W bosons. We find that the unification scale is at about 10^{14} GeV. Viable grand unified theories must thus conserve baryon number. We discuss how to build such a model without using Higgs bosons.