A Predictive $SO(10)$ Model

Abstract

We discuss some testable predictions of a non-supersymmetric $SO(10)$ model supplemented by a Peccei-Quinn symmetry. We utilize a symmetry breaking pattern of $SO(10)$ that yields unification of the Standard Model gauge couplings, with the unification scale also linked to inflation driven by an $SO(10)$ singlet scalar field with a Coleman-Weinberg potential. Proton decay mediated by the superheavy gauge bosons may be observable at the proposed Hyper-Kamiokande experiment. Due to an unbroken $Z_2$ gauge symmetry from $SO(10)$, the model predicts the presence of a stable intermediate mass fermion which, together with the axion, provides the desired relic abundance of dark matter. The model also predicts the presence of intermediate scale topologically stable monopoles and strings that survive inflation. The monopoles may be present in the Universe at an observable level. We estimate the stochastic gravitational wave background emitted by the strings and show that it should be testable in a number of planned and proposed space and land based experiments. Finally, we show how the observed baryon asymmetry in the Universe is realized via non-thermal leptogenesis.

36 pages, 9 figures, version published in JCAP

References in corpus (15)

• Laser Interferometer Space Antenna
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves
• The Sphaleron Rate in the Minimal Standard Model
• Gravitational-Wave Stochastic Background from Kinks and Cusps on Cosmic Strings
• Stochastic gravitational wave background from smoothed cosmic string loops
• Fermion Masses in SO(10) Models
• Dark Matter and Gauge Coupling Unification in Non-supersymmetric SO(10) Grand Unified Models
• Yukawa Sector of Minimal SO(10) Unification
• Unification, Proton Decay and Topological Defects in non-SUSY GUTs with Thresholds
• Effects of reheating on leptogenesis
• Coleman-Weinberg Potential In Good Agreement With WMAP
• Primordial Monopoles and Strings, Inflation, and Gravity Waves
• Fits to Non-Supersymmetric SO(10) Models with Type I and II Seesaw Mechanisms Using Renormalization Group Evolution
• Renormalization Group Running of Fermion Observables in an Extended Non-Supersymmetric SO(10) Model