Neutrino masses, δPMNS, and mββ in SO(10)

A bstract We explore the leptonic sector of a recently proposed supersymmetric SO(10) model with supersymmetry breaking in the 3–10 TeV range. A new ingredient in this work is the requirement that the observed baryon asymmetry is explained via non-thermal leptogenesis, which can be realized in a large class of supersymmetric hybrid inflation models including SO(10). We provide estimates for the masses of the three Standard Model neutrinos (with the lightest mass m 1 ≈ 5 meV) as well as the three right-handed neutrinos ( M 1 ≈ 10 9 GeV and M 2,3 ≈ 10 13 GeV). The best fit estimate for the leptonic CP violating parameter δ PMNS ≈ 235 ° , and the value of the neutrinoless double beta decay mass parameter m ββ ≈ 0.18 meV. A numerical analysis broadens the predicted range for δ PMNS (100 ° –300 ° ), but leaves largely intact the predictions for the six (light and heavy) neutrino masses and m ββ . Our statistical analysis, which yields the likelihood-predicted ranges of the observables, is fully consistent with JUNO’s newly released first measurement of reactor neutrino oscillations in the Δ m₁₂² ∆ m 12 2 -sin 2 θ 12 plane, with JUNO improving the precision by a factor of 1.6 relative to the combination of all previous measurements. The implementation of successful non-thermal leptogenesis allows us to provide estimates for the inflaton mass ( m χ ≈ 7 × 10 9 GeV) and the reheating temperature ( T RH ≈ 4 × 10 6 GeV).