Efficient calculation of cosmological neutrino clustering with both linear and non-linear gravity

Abstract

We study in detail how neutrino perturbations can be followed in linear theory by using only terms up to $l=2$ in the Boltzmann hierarchy. We provide a new approximation to the third moment and demonstrate that the neutrino power spectrum can be calculated to a precision of better than $\sim$ 5% for masses up to $\sim$ 1 eV. The matter and CMB power spectra can be calculated far more precisely and typically at least a factor of a few better than with existing approximations. We then proceed to study how the neutrino power spectrum can be reliably calculated even in the presence of non-linear gravitational clustering by using the full non-linear gravitational potential derived from semi-analytic methods based on $N$-body simulations in the Boltzmann evolution hierarchy. Our results agree extremely well with results derived from $N$-body simulations.

12 pages, 7 figures

References in corpus (5)

• DEMNUni: The clustering of large-scale structures in the presence of massive neutrinos
• Matter power spectrum and the challenge of percent accuracy
• The Effect of Thermal Neutrino Motion on the Non-linear Cosmological Matter Power Spectrum
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• Cosmology in the era of Euclid and the Square Kilometre Array
• Detecting Neutrino Mass by Combining Matter Clustering, Halos, and Voids
• An optimal nonlinear method for simulating relic neutrinos
• Scale-dependent bias and bispectrum in neutrino separate universe simulations
• DEMNUni: Massive neutrinos and the bispectrum of large scale structures
• Reducing Noise in Cosmological N-body Simulations with Neutrinos
• A fast particle-mesh simulation of non-linear cosmological structure formation with massive neutrinos
• Beware of Fake $\nu$s: The Effect of Massive Neutrinos on the Nonlinear Evolution of Cosmic Structure
• Loop corrections to the power spectrum for massive neutrino cosmologies with full time- and scale-dependence
• Geodesic motion and phase-space evolution of massive neutrinos
• Neutrino winds on the sky
• Hybrid multi-fluid-particle simulations of the cosmic neutrino background
• Measuring neutrino mass and asymmetry with matter pairwise velocities
• The Effective Field Theory of Large Scale Structure for Mixed Dark Matter Scenarios
• Generalized Boltzmann hierarchy for massive neutrinos in cosmology