Grand unification of fermion generations: Neutrino masses and cosmological constraints

Mathematics – Logic

Scientific paper

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Unified Theories And Models Of Strong And Electroweak Interactions

Scientific paper

We discuss cosmological constraints on the mirror-symmetry-breaking scales in a recently proposed SO(18) model of family unification. We find two kinds of constraints: one based on considerations of cosmological baryogenesis restricts the scale of mirror-symmetry breaking to be close to the SO(18) unification scale; the second constraint needed to obtain a consistent picture of neutrino masses in this model requires an intermediate (B-L)-breaking scale below 106-107 GeV. We also show that constraints of grand unification require the breaking of the horizontal SO(8) scale to be above the scale of SO(10) symmetry.

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