Higher-order massive neutrino perturbations in large-scale structure

Abstract

We develop a higher-order perturbation theory for large-scale structure formation involving a free-streaming hot or warm dark matter species. We focus on the case of mixed cold dark matter and massive neutrinos, although our approach is applicable also to a single warm dark matter species. In order to capture the suppressed growth of neutrino density perturbations on small scales, we account for the full momentum dependence of the phase space distribution using the Vlaslov equation, and derive from it a formal closed-form nonlinear equation for the neutrino density. Using a systematic perturbative expansion of this equation we compute high-order corrections to the neutrino density contrast without the explicit need to track the perturbed neutrino momentum distribution. We calculate the leading-order total matter bispectrum for several neutrino masses. Using our result as a benchmark, we test the accuracy of the fluid approximation and a linear approximation used in perturbative and N-body analyses, as well as a new hybrid approach that combines the exact linear evolution with the nonlinear structure of the fluid equations. Aiming at $\lesssim 1$ accuracy, we find that the total matter bispectrum with a low neutrino mass m=0.046 eV can be reproduced by all but the fluid approximation, while for larger neutrino masses m=0.46-0.93 eV only the hybrid approach has the desired accuracy on a large range of scales. This result serves as a cautionary note that approximate nonlinear models of neutrino clustering that reproduce the gross features of some observables may not suffice for precision calculations, nor are they guaranteed to apply to other observables. All of the approximation schemes fail to reproduce the bispectrum of the neutrino density perturbations at better than 20% accuracy across all scales, indicating that an exact treatment of nonlinear neutrino perturbations is necessary.

v1: 42 pages, 6 figures v2: 44 pages, 8 figures, minor modifications, version accepted by JCAP

References in corpus (14)

• Massive neutrinos and cosmology
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Cosmology with massive neutrinos I: towards a realistic modeling of the relation between matter, haloes and galaxies
• The Effect of Thermal Neutrino Motion on the Non-linear Cosmological Matter Power Spectrum
• Impact of massive neutrinos on nonlinear matter power spectrum
• Neutrino cosmology and Planck
• Dark matter clustering: a simple renormalization group approach
• Neutrinos help reconcile Planck measurements with both Early and Local Universe
• Primordial Neutrinos
• Massive Neutrinos in Cosmology: Analytic Solutions and Fluid Approximation
• Structure formation with massive neutrinos: going beyond linear theory
• Third-order Perturbation Theory With Non-linear Pressure
• Measurement of Neutrino Masses from Relative Velocities
• Describing massive neutrinos in cosmology as a collection of independent flows

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