Renormalizable minimal SO(10) GUT in 4D and 5D

TL;DR

This paper reviews the status and future prospects of minimal renormalizable SO(10) GUTs, highlighting their predictivity and issues, and explores 5D extensions with warped extra dimensions and orbifold GUTs to address these problems.

Contribution

It introduces 5D extensions of minimal SO(10) GUTs using warped extra dimensions and orbifold techniques to resolve gauge coupling and proton decay issues.

Findings

Predictive SO(10) GUT models match neutrino data

Problems with gauge coupling unification and proton decay

Proposes 5D models with warped dimensions and orbifolds

Abstract

This report is a review of the present status of GUT, especially renormalizable minimal SO(10) GUT, and its future prospect. It consists of two parts. In part I, I review how the minimal renormalizable supersymmetric SO(10) GUT, an SO(10) framework with only one ${\bf 10}$ and one $\bar{\bf 126}$ Higgs multiplets in the Yukawa sector, is attractive because of its high predictivity. Indeed it not only gave a consistent predictions on neutrino oscillation data but also did reasonable and interesting values for Leptogenesis, LFV, muon g-2, neutrinoless double beta decay etc. However, this model suffers from problems, apart from the small deviations from the observed values, related to running of gauge couplings and proton decay. The gauge coupling unification may be spoiled due to the presence of intermediate scales much lighter than the grand unification (GUT) scale. In addition, the gauge couplings blow up around the GUT scale because of the presence of Higgs multiplets of large representations. In order to remedy these pathologies, in part II, we extend GUT into 5D. We propose two approaches: one is to consider the warped extra dimension, using the bulk Higgs profile to explain the intermediate energy scales. Another is to use the orbifold GUT. Both approaches are complementary to each other.