Cosmological consequences of spontaneous lepton number violation in SO(10) grand unification

Tony Gherghetta, Gerard Jungman

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Abstract

Cosmological constraints on grand-unified theories with spontaneous lepton number violation are analyzed. We concentrate on SO(10), the simplest of the models possessing this property. It has been noted previously that the consistency of these models with the observed baryon asymmetry generically implies strict upper bounds on the light neutrino masses. In this paper, we analyze the situation in detail. We find that minimal models of fermion masses face difficulties, but that it is possible for these models to generate an adequate baryon asymmetry via nonequilibrium lepton-number-violating processes when the right-handed neutrino masses are near their maximum possible values. This condition uniquely picks out the minimal gauge symmetry-breaking scheme. A nonminimal model is also analyzed, with somewhat different conclusions due to the nature of the imposed symmetries.

Original languageEnglish (US)
Pages (from-to)1546-1554
Number of pages9
JournalPhysical Review D
Volume48
Issue number4
DOIs
StatePublished - 1993

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