<p>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 <i>m</i><sub>1</sub> ≈ 5 meV) as well as the three right-handed neutrinos (<i>M</i><sub>1</sub> ≈ 10<sup>9</sup> GeV and <i>M</i><sub>2,3</sub> ≈ 10<sup>13</sup> GeV). The best fit estimate for the leptonic CP violating parameter <i>δ</i><sub>PMNS</sub> ≈ 235<i>°</i>, and the value of the neutrinoless double beta decay mass parameter <i>m</i><sub><i>ββ</i></sub> ≈ 0.18 meV. A numerical analysis broadens the predicted range for <i>δ</i><sub>PMNS</sub> (100<i>°</i>–300<i>°</i>), but leaves largely intact the predictions for the six (light and heavy) neutrino masses and <i>m</i><sub><i>ββ</i></sub>. 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 <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mtext>∆</mtext> <msubsup> <mi>m</mi> <mn>12</mn> <mn>2</mn> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( \Delta {m}_{12}^2 \)</EquationSource> </InlineEquation>-sin<sup>2</sup> <i>θ</i><sub>12</sub> 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 (<i>m</i><sub><i>χ</i></sub> ≈ 7 × 10<sup>9</sup> GeV) and the reheating temperature (<i>T</i><sub>RH</sub> ≈ 4 × 10<sup>6</sup> GeV).</p>

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

  • Shaikh Saad,
  • Qaisar Shafi

摘要

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 m1 ≈ 5 meV) as well as the three right-handed neutrinos (M1 ≈ 109 GeV and M2,3 ≈ 1013 GeV). The best fit estimate for the leptonic CP violating parameter δPMNS ≈ 235°, and the value of the neutrinoless double beta decay mass parameter mββ ≈ 0.18 meV. A numerical analysis broadens the predicted range for δPMNS (100°–300°), but leaves largely intact the predictions for the six (light and heavy) neutrino masses and mββ. 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 m 12 2 \( \Delta {m}_{12}^2 \) -sin2 θ12 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 (mχ ≈ 7 × 109 GeV) and the reheating temperature (TRH ≈ 4 × 106 GeV).