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Threshold effects on the mass-scale predictions in SO(10) models and solar-neutrino puzzle

1992/04/27 by Rabindra N. Mohapatra, R. N. Mohapatra, M. K. Parida · 2 citations
Physics and Astronomy · #Boson #Fermion #Geometry #Grand Unified Theory #Higgs boson #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #SO(10) #Seesaw mechanism #Symmetry breaking #Symmetry group #hep-ph

paper · pdf · doi:10.1103/physrevd.47.264

published as Phys.Rev. D47 (1993) 264-272 · 24 pages

arxiv created 1992/04/27 · openalex publication_date 1993/01/01 · arxiv updated 2016/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We compute the threshold uncertainties due to unknown masses of the Higgs bosons on the predictions for the intermediate and unification scales, MI and MU, respectively, in SO(10) models. We focus on models with separate breaking scales for parity and SU(2)R symmetries since they provide a natural realization of the seesaw mechanism for neutrino masses. For the two-step symmetry-breaking chains, where left-right-symmetric gauge groups appear at the intermediate scale, we find that parity invariance of the theory at the unification scale drastically reduces the grand-unification-theory (GUT) threshold effects in some cases. Including the effects of the intermediate-scale thresholds, we compute the uncertainty in the above mass scales and study their implications for proton lifetime and neutrino masses. An important outcome of our analysis is that if the Mikheyev-Smirnov-Wolfenstein (MSW) solution to the solar-neutrino puzzle is accepted at the 1\ensuremathσ level, it rules out SU(2)L\ifmmode×\else\texttimes\fiSU(2)R\ifmmode×\else\texttimes\fiU(1)_B\mathrm\ensuremath-L\ifmmode×\else\texttimes\fiSU(3)c as an intermediate symmetry for SO(10) breaking whereas the intermediate symmetry SU(2)L\ifmmode×\else\texttimes\fiSU(2)R\ifmmode×\else\texttimes\fiSU(4)c is quite consistent with it.

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