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

Aug 10, 2023
16 pages
Published in:
  • Phys.Rev.D 109 (2024) 5, 5
  • Published: Mar 1, 2024
e-Print:
DOI:
Report number:
  • IPPP/23/41

Citations per year

2023202420258154
Abstract: (APS)
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.
Note:
  • 15 pages, 6 figures
  • p: decay
  • neutrino: mass
  • neutrino: right-handed: mass
  • baryon: asymmetry
  • gravitational radiation: background
  • gravitational radiation: spectrum
  • sparticle: mass
  • symmetry breaking: scale
  • scale: electroweak interaction
  • lepton: mass