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Testing Realistic SO(10) SUSY GUTs with Proton Decay and Gravitational Waves
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Testing Realistic SO(10) SUSY GUTs with Proton Decay and Gravitational Waves
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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.
Forward citations
Cited by 9 Pith papers
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New gravitational-wave templates for metastable cosmic strings: Loop breaking versus network collapse
Metastable cosmic strings produce a gravitational wave background that is best modeled with three parameters (string tension Gμ plus independent time scales t_LB and t_NC), yielding a compact analytical spectrum when ...
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Metastable cosmic strings are broken at the start
Metastable cosmic-string networks are typically broken within a Hubble time of formation by finite-temperature effects or by pre-existing monopoles, so matching NANOGrav requires m_M^2/μ ≳ 10^3.
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Universal two-zero texture in SO(10): implications of JUNO and realization from non-invertible symmetries
The universal two-zero texture in SO(10) fits flavor data with seven parameters, prefers normal neutrino ordering, predicts Dirac-phase regions and meV-scale m_beta beta, and arises from Z_3 gauging of Z_N (minimal N=...
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Towards Precision Neutrino Fits in GUTs: Relevance of One-Loop Finite Corrections
One-loop corrections in minimal SO(10) GUTs cause 30-40% shifts in neutrino observables from tree-level fits, requiring their inclusion for reliable parameter space exploration.
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Universal two-zero texture in SO(10): implications of JUNO and realization from non-invertible symmetries
Universal two-zero textures in SO(10) remain compatible with JUNO-era flavor data, prefer normal ordering, predict meV-scale mββ, and arise from Z3-gauged Z7 non-invertible selection rules.
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Thermal Metastable Strings in One-Scale Models and Gravitational Waves
Thermal effects shift the PTA-compatible parameter region in a minimal dark-sector model to lower dark fine-structure constant and higher monopole-to-string-tension ratio by making thermally induced nucleation the dom...
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Monopoles, Strings, Walls and Gravitational waves
Breaking SU(2) flavor gauge symmetry stepwise to nothing leaves monopoles, strings, and walls; collapsing walls can form composite strings whose gravitational-wave spectra fit PTA data and lie within reach of LVK and ...
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F-Term Hybrid Inflation with T-Model K\"ahler Geometry and Beyond
F-term hybrid inflation with SU(1,1)/U(1) or SU(2)/U(1) Kähler geometry in GUTs can be realized without inflationary extrema for broad parameters, matching ACT/SPT data via curvature and tadpole adjustments while pred...
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Metastable strings at PTAs: classical stability analysis
Classical instabilities in metastable strings from two-step symmetry breaking can restrict the viable parameter space for explaining the PTA gravitational wave signal.
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