Parameterization of temperature and spectral distortions in future CMB experiments

Abstract

CMB spectral distortions are induced by Compton collisions with electrons. We review the various schemes to characterize the anisotropic CMB with a non-Planckian spectrum. We advocate using logarithmically averaged temperature moments as the preferred language to describe these spectral distortions, both for theoretical modeling and observations. Numerical modeling is simpler, the moments are frame-independent, and in terms of scattering the mode truncation is exact.

5 pages; discussion on chemical potential added

References in corpus (6)

• Relativistic cosmology and large-scale structure
• The cosmic microwave background bispectrum from the non-linear evolution of the cosmological perturbations
• The intrinsic bispectrum of the Cosmic Microwave Background [PhD thesis]
• The intrinsic B-mode polarisation of the Cosmic Microwave Background
• The full CMB temperature bispectrum from single-field inflation
• Spectral distortions in the cosmic microwave background polarization

Cited by in corpus (18)

• Precision big bang nucleosynthesis with improved Helium-4 predictions
• The synergy between CMB spectral distortions and anisotropies
• Impact of polarisation on the intrinsic CMB bispectrum
• Large fluctuations and Primordial Black Holes
• Spectral distortions in the cosmic microwave background polarization
• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Radiative transport of relativistic species in cosmology
• Exploring compensated isocurvature perturbations with CMB spectral distortion anisotropies
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• CMB spectral distortions as solutions to the Boltzmann equations
• Unified approach to secondary effects on the CMB B-mode polarization
• The Interstellar Dust Emission Spectrum, Going beyond the single temperature greybody
• The parity-odd Intrinsic Bispectrum
• Primordial neutrinos fade to gray: constraints from cosmological observables
• CMB anisotropies at all orders: the non-linear Sachs-Wolfe formula
• Non-linear effects in early Universe cosmology
• Fifty shades of grayness: parametrizations of spectral distortions and applications in cosmology
• Cosmic microwave background spectral distortions from Rayleigh scattering at second order