A predictive and testable unified theory of fermion masses, mixing and leptogenesis

• Published in: The journal of high energy physics Vol. 2022; no. 11; pp. 72 - 38
• Main Authors: Fu, Bowen, King, Stephen F., Marsili, Luca, Pascoli, Silvia, Turner, Jessica, Zhou, Ye-Ling
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 14.11.2022; Springer Nature B.V; SpringerOpen
• Subjects: Asymmetry; Baryo-and Leptogenesis; Beta decay; Broken symmetry; Classical and Quantum Gravitation; Decay rate; Early Universe Particle Physics; Elementary Particles; Fermions; Grand Unification; Grand unified theory; Gravitational waves; High energy physics; Mathematical models; Neutrino Mixing; Neutrinos; Parameter identification; Physics; Physics and Astronomy; Protons; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Strings; Neutrino Mixing; Grand Unification; Baryo-and Leptogenesis; Early Universe Particle Physics
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP11(2022)072

A bstract We consider a minimal non-supersymmetric SO(10) Grand Unified Theory (GUT) model that can reproduce the observed fermionic masses and mixing parameters of the Standard Model. We calculate the scales of spontaneous symmetry breaking from the GUT to the Standard Model gauge group using two-loop renormalisation group equations. This procedure determines the proton decay rate and the scale of U(1) B−L breaking, which generates cosmic strings and the right-handed neutrino mass scales. Consequently, the regions of parameter space where thermal leptogenesis is viable are identified and correlated with the fermion masses and mixing, the neutrinoless double beta decay rate, the proton decay rate, and the gravitational wave signal resulting from the network of cosmic strings. We demonstrate that this framework, which can explain the Standard Model fermion masses and mixing and the observed baryon asymmetry, will be highly constrained by the next generation of gravitational wave detectors and neutrino oscillation experiments which will also constrain the proton lifetime.