On different approaches to freeze-in and freeze-out leptogenesis with quasi-degenerate neutrinos

Abstract

We compare two approaches for determining the generation of lepton asymmetry during production and decay of quasi-degenerate neutrinos, namely the density matrix formalism and a recent proposal which does not involve any counting of neutrino number densities and is based on plugging the resummed propagator in a quantum field theory model for neutrino oscillations. We show numerically and analytically that they are almost equivalent except in the limit of very large mass splittings. The comparison, performed in a simple scalar toy model, helps to understand several issues that have been discussed in the literature.

arXiv comment14 pages, 1 figure

References in corpus (35)

• The $\nu$MSM, Dark Matter and Baryon Asymmetry of the Universe
• Resonant Leptogenesis
• Baryogenesis via neutrino oscillations
• Oscillations of neutrinos and mesons in quantum field theory
• Flavour Covariant Transport Equations: an Application to Resonant Leptogenesis
• On the Treatment of Neutrino Oscillations Without Resort to Weak Eigenstates
• Baryogenesis from mixed particle decays
• Leptogenesis from first principles in the resonant regime
• Effective Theory of Resonant Leptogenesis in the Closed-Time-Path Approach
• Kadanoff-Baym Approach to Flavour Mixing and Oscillations in Resonant Leptogenesis
• ARS Leptogenesis
• Resonant enhancement in leptogenesis
• Low-scale leptogenesis with three heavy neutrinos
• Baryogenesis, 30 Years after
• Uniting low-scale leptogeneses
• Mapping the viable parameter space for testable leptogenesis
• GeV-scale hot sterile neutrino oscillations: a derivation of evolution equations
• On the CP asymmetries in Majorana neutrino decays
• Baryogenesis from L-violating Higgs-doublet decay in the density-matrix formalism
• Leptogenesis from Oscillations of Heavy Neutrinos with Large Mixing Angles
• Flavoured quantum Boltzmann equations from cQPA
• Fermion number violating effects in low scale leptogenesis
• Strong Washout Approximation to Resonant Leptogenesis
• Breit-Wigner approximation for propagators of mixed unstable states
• GeV-scale hot sterile neutrino oscillations: a numerical solution
• Precision study of GeV-scale resonant leptogenesis
• Corrigendum to "Flavour Covariant Transport Equations: an Application to Resonant Leptogenesis"
• Parameter space of baryogenesis in the $\nu$MSM
• Lepton asymmetry from mixing and oscillations
• Bounds on right-handed neutrino parameters from observable leptogenesis
• Kinetic equations for sterile neutrinos from thermal fluctuations
• Flavour mixing transport theory and resonant leptogenesis
• Tri-Resonant Leptogenesis in a Seesaw Extension of the Standard Model
• CP violation in mixing and oscillations for leptogenesis with quasi-degenerate neutrinos
• CP violation in mixing and oscillations for leptogenesis II: the highly degenerate case