Lepton asymmetry from mixing and oscillations

Abstract

We show how the two physically-distinct sources of CP-asymmetry relevant to scenarios of leptogenesis: (i) resonant mixing and (ii) oscillations between different flavours can be unambiguously identified within the Kadanoff-Baym formalism. These contributions are isolated by analyzing the spectral structure of the non-equilibrium propagators without relying on the definition of particle number densities. The mixing source is associated with the usual mass shells, whereas the oscillation source is identified with a third intermediate shell. In addition, we identify terms lying on the oscillation shell that can be interpreted as the destructive interference between mixing and oscillation. We confirm that identical shell structure is obtained in both the Heisenberg- and interaction-picture realizations of the Kadanoff-Baym formalism. In so doing, we illustrate the self-consistency and complementarity of these two approaches. The interaction-picture approach in particular has the advantage that it may be used to analyze all forms of mass spectra from quasi-degenerate through to hierarchical.

54 pages, 6 figures. To match published version: the discussion of the interaction-picture resummation procedure (section 3) expanded, further comments and clarification included, references added, and typos corrected

References in corpus (25)

• Big-Bang Nucleosynthesis
• Flavour Matters in Leptogenesis
• The nuMSM, leptonic asymmetries, and properties of singlet fermions
• Leptogenesis and Low Energy CP Violation in Neutrino Physics
• Flavour Covariant Transport Equations: an Application to Resonant Leptogenesis
• Flavoured leptogenesis: a successful thermal leptogenesis with N_1 mass below 10^8 GeV
• Quantum Boltzmann Equations and Leptogenesis
• Lepton Flavour Violation and theta(13) in Minimal Resonant Leptogenesis
• Kadanoff-Baym Approach to Flavour Mixing and Oscillations in Resonant Leptogenesis
• Full Boltzmann equations for leptogenesis including scattering
• Medium corrections to the CP-violating parameter in leptogenesis
• On Resonant Leptogenesis
• Systematic approach to thermal leptogenesis
• Leptogenesis: The Other Cuts
• Quantum Resonant Leptogenesis and Minimal Lepton Flavour Violation
• Strong Washout Approximation to Resonant Leptogenesis
• Corrigendum to "Flavour Covariant Transport Equations: an Application to Resonant Leptogenesis"
• Nearly degenerate heavy sterile neutrinos in cascade decay: mixing and oscillations
• Quantum corrections to leptogenesis from the gradient expansion
• Coherent Flavour Oscillation and CP Violating Parameter in Thermal Resonant Leptogenesis
• Leptogenesis in crossing and runaway regimes
• Space-time evolution of heavy sterile neutrinos in cascade decays
• Non equilibrium dynamics of mixing, oscillations and equilibration: a model study
• Flavour effects in Resonant Leptogenesis from semi-classical and Kadanoff-Baym approaches
• Baryogenesis via Leptogenesis in an inhomogeneous universe

Cited by in corpus (25)

• A White Paper on keV Sterile Neutrino Dark Matter
• Combining Experimental and Cosmological Constraints on Heavy Neutrinos
• Testing the low scale seesaw and leptogenesis
• ARS Leptogenesis
• Flavor effects in leptogenesis
• Resonant enhancement in leptogenesis
• Why is there more matter than antimatter? Calculational methods for leptogenesis and electroweak baryogenesis
• Leptogenesis from Oscillations of Heavy Neutrinos with Large Mixing Angles
• Neutrinoless double $\beta$ decay and low scale leptogenesis
• Type-I Seesaw as the Common Origin of Neutrino Mass, Baryon Asymmetry, and the Electroweak Scale
• Initial condition for baryogenesis via neutrino oscillation
• Axion-Photon Conversion in 3D Media and Astrophysical Plasmas
• Common Origin of Non-zero ${\theta }_{13}$ and Baryon Asymmetry of the Universe in a TeV scale Seesaw Model with $A_4$ Flavour Symmetry
• Leptogenesis after Chaotic Sneutrino Inflation and the Supersymmetry Breaking Scale
• Flavour mixing transport theory and resonant leptogenesis
• Flavoured leptogenesis and ${\mathrm{CP}}^{\mu \tau }$ symmetry
• Tri-Resonant Leptogenesis in a Seesaw Extension of the Standard Model
• Quantum transport and the phase space structure of the Wightman functions
• 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
• Reconciling resonant leptogenesis and baryogenesis via neutrino oscillations
• MeV scale model of SIMP dark matter, neutrino mass and leptogenesis
• On different approaches to freeze-in and freeze-out leptogenesis with quasi-degenerate neutrinos
• $TeV$-Scale Resonant Leptogenesis with New Scaling Ansatz on Neutrino Dirac Mass Matrix from $A_4$ Flavor Symmetry
• Leptogenesis in an anomaly-free $\mathrm{U}(1)$ extension with higher-dimensional operators