The cost of gauge coupling unification in the SU(5) model at three loops

TL;DR

This paper calculates the relationship between new electroweak multiplet masses and the unification scale in the non-supersymmetric SU(5) model at three-loop precision, highlighting implications for collider phenomenology.

Contribution

It provides a three-loop level calculation of the correlation between electroweak multiplet masses and the unification scale in the SU(5) model, a novel precision analysis.

Findings

Correlation function between multiplet masses and unification scale computed at three loops

Implications for detecting light fermions and scalars at the LHC

Enhanced understanding of gauge coupling unification accuracy

Abstract

The non-supersymmetric SU(5) model can accommodate heavy neutrinos and gauge coupling unification when augmented with an adjoint fermionic multiplet 24_F. Among the most important phenomenological implications of the model is the prediction of light fermions and scalars, charged under the SU(2) gauge group, in the reach of the Large Hadron Collider (LHC). In this talk, we report on the recent calculation of the correlation function between the mass scale of the new electroweak multiplets and the gauge coupling unification scale at three loop accuracy.