A practical gauge invariant regularization of the SO(10) grand unified model

TL;DR

This paper introduces a simple, gauge-invariant regularization method for the SO(10) grand unified model, enabling consistent calculations up to four loops and applicable to the Standard Model derived from it.

Contribution

It presents a novel modification of dimensional regularization that maintains gauge invariance in complex calculations within the SO(10) model and its symmetry-breaking variants.

Findings

Allows gauge-invariant calculations up to four loops in SO(10)

Applicable to Standard Model from SO(10) symmetry breaking

Provides a gauge-invariant regularization for arbitrary diagrams

Abstract

It is shown that a simple modification of the dimensional regularization allows to compute in a consistent and gauge invariant way any diagram with less than four loops in the SO(10) unified model. The method applies also to the Standard Model generated by the symmetry breaking $SO(10) \to SU(3)\times SU(2)\times U(1)$. A gauge invariant regularization for arbitrary diagram is also described.