Flavored Quantum Boltzmann Equations

Abstract

We derive from first principles, using non-equilibrium field theory, the quantum Boltzmann equations that describe the dynamics of flavor oscillations, collisions, and a time-dependent mass matrix in the early universe. Working to leading non-trivial order in ratios of relevant time scales, we study in detail a toy model for weak scale baryogenesis: two scalar species that mix through a slowly varying time-dependent and CP-violating mass matrix, and interact with a thermal bath. This model clearly illustrates how the CP asymmetry arises through coherent flavor oscillations in a non-trivial background. We solve the Boltzmann equations numerically for the density matrices, investigating the impact of collisions in various regimes.

41 pages, 7 figures. v2: references added, minor corrections and clarifications

References in corpus (12)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Singlet Higgs Phenomenology and the Electroweak Phase Transition
• The Baryogenesis Window in the MSSM
• Electroweak Phase Transition and Baryogenesis in the nMSSM
• MSSM Baryogenesis and Electric Dipole Moments: An Update on the Phenomenology
• Yukawa and Tri-scalar Processes in Electroweak Baryogenesis
• Yukawa Interactions and Supersymmetric Electroweak Baryogenesis
• Supergauge interactions and electroweak baryogenesis
• Lepton-mediated electroweak baryogenesis
• The nonperturbative decay of SUSY flat directions
• Baryogenesis from the amplification of vacuum fluctuations during inflation
• Mixing-induced CP violating sources for electroweak baryogenesis from a semiclassical approach

Cited by in corpus (65)

• Electroweak baryogenesis
• Matter and Antimatter in the Universe
• Sterile Neutrino Dark Matter
• A White Paper on keV Sterile Neutrino Dark Matter
• The Phenomenology of Right Handed Neutrinos
• Dark Matter, Baryogenesis and Neutrino Oscillations from Right Handed Neutrinos
• Cosmic phase transitions: their applications and experimental signatures
• Neutrino Quantum Kinetics
• Flavour Covariant Transport Equations: an Application to Resonant Leptogenesis
• Coherent Propagation of PeV Neutrinos and the Dip in the Neutrino Spectrum at IceCube
• Quantum Leptogenesis I
• Quantum Transport and Electroweak Baryogenesis
• Leptogenesis from a GeV Seesaw without Mass Degeneracy
• Flavoured Leptogenesis in the CTP Formalism
• The 125 GeV Higgs and Electroweak Phase Transition Model Classes
• Leptogenesis in the Universe
• Finite Number Density Corrections to Leptogenesis
• Electroweak baryogenesis at high wall velocities
• Effective Theory of Resonant Leptogenesis in the Closed-Time-Path Approach
• Towards a precision calculation of the effective number of neutrinos $N_{\mathrm{eff}}$ in the Standard Model I: The QED equation of state
• Kadanoff-Baym Approach to Flavour Mixing and Oscillations in Resonant Leptogenesis
• Oscillating Asymmetric Dark Matter
• Consequences of DM/antiDM Oscillations for Asymmetric WIMP Dark Matter
• Flavor effects in leptogenesis
• Electroweak Baryogenesis and the Standard Model Effective Field Theory
• Resonant enhancement in leptogenesis
• Two-Step Electroweak Baryogenesis
• Electroweak Beautygenesis: From b {\to} s CP-violation to the Cosmic Baryon Asymmetry
• Scattering Rates For Leptogenesis: Damping of Lepton Flavour Coherence and Production of Singlet Neutrinos
• BubbleProfiler: finding the field profile and action for cosmological phase transitions
• Why is there more matter than antimatter? Calculational methods for leptogenesis and electroweak baryogenesis
• Dynamics of fast neutrino flavor conversions with scattering effects: a detailed analysis
• The Boltzmann Equation from Quantum Field Theory
• Effective field theory, electric dipole moments and electroweak baryogenesis
• Perturbative Non-Equilibrium Thermal Field Theory
• Color Breaking Baryogenesis
• Strong Washout Approximation to Resonant Leptogenesis
• Electroweak baryogenesis via bottom transport
• Resonant Flavor Oscillations in Electroweak Baryogenesis
• Higgsogenesis
• CP-violation for Electroweak Baryogenesis from Dynamical CKM Matrix
• Toward verification of electroweak baryogenesis by electric dipole moments
• Anomalous B meson mixing and baryogenesis in a two Higgs doublet model with top-charm flavor violation
• Lepton asymmetry from mixing and oscillations
• Finite Width in out-of-Equilibrium Propagators and Kinetic Theory
• Leptogenesis from Soft Supersymmetry Breaking (Soft Leptogenesis)
• Baryon Asymmetry of the Universe without Boltzmann or Kadanoff-Baym
• On finite density effects on cosmic reheating and moduli decay and implications for Dark Matter production
• On the Role of Quasiparticles and thermal Masses in Nonequilibrium Processes in a Plasma
• Flavour-coherent propagators and Feynman rules: Covariant cQPA formulation
• Cuts, Cancellations and the Closed Time Path: The Soft Leptogenesis Example
• Perturbative Non-Equilibrium Thermal Field Theory to all Orders in Gradient Expansion
• Baryogenesis from Mixing of Lepton Doublets
• From QFT to Boltzmann: Freeze-in in the presence of oscillating condensates
• An exact solution of the Dirac equation with CP violation
• Flavour effects in Resonant Leptogenesis from semi-classical and Kadanoff-Baym approaches
• A different perspective on the vev insertion approximation for electroweak baryogenesis
• Fate of homogeneous ${\mathbb{Z}}_2$-symmetric scalar condensates
• Leptogenesis: Theory and Neutrino Masses
• Gravitational Wave Spectral Shapes as a probe of Long Lived Right-handed Neutrinos, Leptogenesis and Dark Matter: Global versus Local B-L Cosmic Strings
• Resummation and cancellation of the VIA source in electroweak baryogenesis
• Leptogenesis via Varying Weinberg Operator: the Closed-Time-Path Approach
• Axion-Assisted Electroweak Baryogenesis
• Oscillation Baryogenesis via Ultraviolet Dark Matter Freeze-In
• Flavour always matters in scalar triplet leptogenesis