The Cosmic Linear Anisotropy Solving System (CLASS) IV: Efficient implementation of non-cold relics

Abstract

We present a new flexible, fast and accurate way to implement massive neutrinos, warm dark matter and any other non-cold dark matter relics in Boltzmann codes. For whatever analytical or numerical form of the phase-space distribution function, the optimal sampling in momentum space compatible with a given level of accuracy is automatically found by comparing quadrature methods. The perturbation integration is made even faster by switching to an approximate viscous fluid description inside the Hubble radius, which differs from previous approximations discussed in the literature. When adding one massive neutrino to the minimal cosmological model, CLASS becomes just 1.5 times slower, instead of about 5 times in other codes (for fixed accuracy requirements). We illustrate the flexibility of our approach by considering a few examples of standard or non-standard neutrinos, as well as warm dark matter models.

23 pages, 8 figures, 3 tables. Matches published version. Code available at http://class-code.net

References in corpus (8)

• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• Massive neutrinos and cosmology
• The Cosmic Linear Anisotropy Solving System (CLASS) I: Overview
• Sterile neutrino dark matter as a consequence of nuMSM-induced lepton asymmetry
• Realistic sterile neutrino dark matter with keV mass does not contradict cosmological bounds
• Massive Neutrinos in Cosmology: Analytic Solutions and Fluid Approximation
• The Cosmic Linear Anisotropy Solving System (CLASS) III: Comparision with CAMB for LambdaCDM
• Small scale aspects of warm dark matter : power spectra and acoustic oscillations

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