Cosmological Consequences of Spontaneous Lepton Number Violation in $SO(10)$ Grand Unification, EFI-93-07

Abstract

Cosmological constraints on grand unified theories with spontaneous lepton number violation are analysed. 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 non-equilibrium 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 non-minimal model is also analyzed, with somewhat different conclusions due to the nature of the imposed symmetries.

uses harvmac.tex, epsf.tex, and tables.tex; 4 figures submitted as tar-compressed-uuencoded postscript files; beautiful compressed postscript version available by anonymous ftp from rainbow.uchicago.edu:/pt-preprints/efi-93-07.ps.Z

References in corpus (2)

• Predictive Neutrino Spectrum in Minimal $SO(10)$ Grand Unification
• From Fermion Mass Matrices to Neutrino Oscillations

Cited by in corpus (14)

• Leptogenesis
• Leptogenesis as the origin of matter
• Yukawa Unified Supersymmetric SO(10) Model: Cosmology, Rare Decays and Collider Searches
• Baryon Asymmetry and Neutrino Mixing
• Baryon Asymmetry, Neutrino Mixing and Supersymmetric SO(10) Unification
• Baryogenesis from the weak scale to the grand unification scale
• Baryon Asymmetry and Dark Matter
• Unified explanation of the Solar and Atmospheric neutrino Puzzles in a minimal supersymmetric SO(10) model
• Leptogenesis in Theories with Large Extra Dimensions
• Asymmetric Dark Matter Models in SO(10)
• Leptogenesis from Soft Supersymmetry Breaking (Soft Leptogenesis)
• Leptonic CP violation phases using an ansatz for the neutrino mass matrix and application to leptogenesis
• $1\leftrightarrow 2$ Processes of a Sterile Neutrino Around Electroweak Scale in the Thermal Plasma
• Probing low scale leptogenesis through gravitational wave