A non Supersymmetric SO(10) Grand Unified Model for All the Physics below $M_{GUT}$

TL;DR

This paper proposes a non-supersymmetric SO(10) grand unified model that, with fine tuning, aligns with all known physics below the unification scale, including fermion masses, baryogenesis, dark matter, and proton decay constraints.

Contribution

It introduces a minimal SO(10) GUT model compatible with all phenomenological data, including a specific symmetry breaking chain and an axion solution to the strong CP problem.

Findings

Achieves gauge coupling unification compatible with proton decay bounds.

Reproduces observed quark and lepton masses and mixings.

Provides a viable dark matter candidate via the axion.

Abstract

We present a renormalizable non supersymmetric Grand Unified SO(10) model which, at the price of a large fine tuning, is compatible with all compelling phenomenological requirements below the unification scale and thus realizes a minimal extension of the SM, unified in SO(10) and describing all known physics below $M_{GUT}$. These requirements include coupling unification at a large enough scale to be compatible with the bounds on proton decay; a Yukawa sector in agreement with all the data on quark and lepton masses and mixings and with leptogenesis as the origin of the baryon asymmetry of the Universe; an axion arising from the Higgs sector of the model, suitable to solve the strong CP problem and to account for the observed amount of Dark Matter. The above constraints imposed by the data are very stringent and single out a particular breaking chain with the Pati-Salam group at an intermediate scale $M_I\sim10^{11}$ GeV.