Higgs scalar in the grand desert with observable proton lifetime in SU(5) and small neutrino masses in SO(10)

Statistics – Computation

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Unified Theories And Models Of Strong And Electroweak Interactions, Quark And Lepton Masses And Mixing, Leptonic, Semileptonic, And Radiative Decays

Scientific paper

We find that the presence of a real scalar in the grand desert transforming as ζ(3,0,8) under SU(2)L×U(1)Y×SU(3)C ensures the agreement of the GUT predictions with the data from CERN LEP and proton lifetime (τp). The mass of ζ is predicted to be close to the Peccei-Quinn symmetry-breaking scale. The computation of the threshold effects in SU(5) with Higgs representations 24, 5, and 75 shows that the maximum allowed τp for reasonable superheavy Higgs boson masses is accessible to experimental tests at low energies. The additional predictions in SO(10) are small neutrino masses compatible with solutions to the solar-neutrino problem and the dark matter of the Universe.

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