Two Loop Unification of Non-SUSY SO(10) GUT with TeV Scalars

TL;DR

This paper analyzes a non-supersymmetric SO(10) grand unified theory with TeV-scale scalars, demonstrating two-loop gauge coupling unification near 10^15 GeV and exploring its testable predictions like proton decay and dark matter.

Contribution

It provides a detailed two-loop unification analysis of a non-SUSY SO(10) model with TeV scalars, including proton lifetime predictions and phenomenological implications.

Findings

Unification occurs around 10^15 GeV at two-loop level.

Proton lifetime predictions are consistent with current experimental limits.

Model predicts TeV-scale new physics accessible at the LHC.

Abstract

In this paper we examine gauge coupling unification of the the non-SUSY SO(10) grand unified theory proposed by Babu and Mohapatra at the two loop level. This theory breaks down to the standard model in a single step and has the distinguishing feature of TeV non-standard model scalars. This leads to a plethora of interesting new physics at the TeV scale and the discovery of new particles at the LHC. This model gives rise to testable proton decay, neutron-antineutron oscillations, provides a mechanism for baryogenesis, and contains potential dark matter candidates. In this paper, we compute the two loop beta function and show that this model unifies to two loop order around $10^{15}$ GeV. We then compute the proton lifetime, taking into account threshold effects and show that these effects place it above the Super Kamiokande limit.