Testing Realistic SO(10) SUSY GUTs with Proton Decay and Gravitational Waves
arxiv(2023)
摘要
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 GUT 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 renormalisation 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.
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