Testing realistic SO(10) SUSY GUTs with proton decay and gravitational waves

Fu, Bowen; King, Stephen F.; Marsili, Luca; Pascoli, Silvia; Turner, Jessica; Zhou, Ye-Ling

Abstract

We present a comprehensive analysis of a supersymmetric SO(10) grand unified theory, which is broken to the Standard Model via the breaking of two intermediate symmetries. The spontaneous breaking of the first intermediate symmetry, B−L, leads to the generation of cosmic strings and right-handed neutrino masses and further to an observable cosmological background of gravitational waves and generation of light neutrino masses via type-I seesaw mechanism. Supersymmetry breaking manifests as sparticle masses below the B−L breaking but far above the electroweak scale due to proton decay limits. This naturally pushes the B−L breaking scale close to the grand unified theory scale, leading to the formation of metastable cosmic strings, which can provide a gravitational wave spectrum consistent with the recent pulsar timing arrays observation. We perform a detailed analysis of this model using two-loop renormalization group equations, including threshold corrections, to determine the symmetry-breaking scale consistent with the recent pulsar timing arrays signals such as NANOGrav 15-year data and testable by the next-generation limits on proton decay from Hyper-K and JUNO. Simultaneously, we find the regions of the model parameter space that can predict the measured quark and lepton masses and mixing, baryon asymmetry of our Universe, a viable dark matter candidate and can be tested by a combination of neutrinoless double beta decay searches and limits on the sum of neutrinos masses.

Citation

Fu, B., King, S. F., Marsili, L., Pascoli, S., Turner, J., & Zhou, Y.-L. (2024). Testing realistic SO(10) SUSY GUTs with proton decay and gravitational waves. Physical Review D, 109(5), Article 055025. https://doi.org/10.1103/physrevd.109.055025

• Journal Article Type: Article
• Acceptance Date: Feb 21, 2024
• Online Publication Date: Mar 14, 2024
• Publication Date: Mar 1, 2024
• Deposit Date: May 21, 2024
• Publicly Available Date: May 21, 2024
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 109
• Issue: 5
• Article Number: 055025
• DOI: https://doi.org/10.1103/physrevd.109.055025
• Public URL: https://durham-repository.worktribe.com/output/2455642