A precision calculation of relic neutrino decoupling

Abstract

We study the distortions of equilibrium spectra of relic neutrinos due to the interactions with electrons, positrons, and neutrinos in the early Universe. We solve the integro-differential kinetic equations for the neutrino density matrix, including three-flavor oscillations and finite temperature corrections from QED up to the next-to-leading order $\mathcal{O}(e^3)$ for the first time. In addition, the equivalent kinetic equations in the mass basis of neutrinos are directly solved, and we numerically evaluate the distortions of the neutrino spectra in the mass basis as well, which can be easily extrapolated into those for non-relativistic neutrinos in the current Universe. In both bases, we find the same value of the effective number of neutrinos, $N_{\mathrm{eff}}=3.044$, which parameterizes the total neutrino energy density. The estimated error for the value of $N_{\mathrm{eff}}$ due to the numerical calculations and the choice of neutrino mixing parameters would be at most 0.0005.

arXiv comment31 pages, 5 figures and 4 tables, accepted JCAP version

References in corpus (29)

• Relic neutrino decoupling including flavour oscillations
• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Neutrinos in cosmology
• Cosmological bounds on neutrino degeneracy improved by flavor oscillations
• Relic neutrino decoupling with flavour oscillations revisited
• SPT-3G: A Next-Generation Cosmic Microwave Background Polarization Experiment on the South Pole Telescope
• A precision calculation of the effective number of cosmological neutrinos
• Neutrino Physics from the Cosmic Microwave Background and Large Scale Structure
• Nonequilibrium Corrections to the Spectra of Massless Neutrinos in the Early Universe
• Analytical treatment of neutrino asymmetry equilibration from flavour oscillations in the early universe
• Neutrino decoupling in the early Universe
• Stringent Constraints on Cosmological Neutrino-Antineutrino Asymmetries from Synchronized Flavor Transformation
• Precision Early Universe Thermodynamics made simple: $N_{\mathrm{eff}}$ and Neutrino Decoupling in the Standard Model and beyond
• Neutrino decoupling beyond the Standard Model: CMB constraints on the Dark Matter mass with a fast and precise $N_{\mathrm{eff}}$ evaluation
• Precision Prediction for the Big-Bang Abundance of Primordial Helium
• Neutrino energy transport in weak decoupling and big bang nucleosynthesis
• Updated BBN bounds on the cosmological lepton asymmetry for non-zero theta13
• Thermalisation of sterile neutrinos in the early Universe in the 3+1 scheme with full mixing matrix
• Towards a precision calculation of the effective number of neutrinos $N_{\mathrm{eff}}$ in the Standard Model I: The QED equation of state
• Non equilibrium spectra of degenerate relic neutrinos
• Neutrino Quantum Kinetic Equations: The Collision Term
• Nonequilibrium Corrections to the Spectra of Massless Neutrinos in the Early Universe - Addendum
• Cosmological lepton asymmetry with a nonzero mixing angle θ_{13}
• Finite temperature effects on the neutrino decoupling in the early Universe
• Effect of Neutrino Heating on Primordial Nucleosynthesis
• Relic Neutrino Freeze-out: Dependence on Natural Constants
• Oscillation effects on neutrino decoupling in the early universe
• Incomplete neutrino decoupling effect on big bang nucleosynthesis
• Insights into neutrino decoupling gleaned from considerations of the role of electron mass

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