Higher order corrections to the large scale matter power spectrum in the presence of massive neutrinos

Abstract

We present the first systematic derivation of the one-loop correction to the large scale matter power spectrum in a mixed cold+hot dark matter cosmology with subdominant massive neutrino hot dark matter. Starting with the equations of motion for the density and velocity fields, we derive perturbative solutions to these quantities and construct recursion relations for the interaction kernels, noting and justifying all approximations along the way. We find interaction kernels similar to those for a cold dark matter-only universe, but with additional dependences on the neutrino energy density fraction f_nu and the linear growth functions of the incoming wavevectors. Compared with the f_nu=0 case, the one-loop corrected matter power spectrum for a mixed dark matter cosmology exhibits a decrease in small scale power exceeding the canonical ~8 f_nu suppression predicted by linear theory, a feature also seen in multi-component N-body simulations.

22 pages, 5 figures, uses iopart.cls; v2: 23 pages, added references, to appear in JCAP

References in corpus (10)

• Massive neutrinos and cosmology
• The Effect of Thermal Neutrino Motion on the Non-linear Cosmological Matter Power Spectrum
• Impact of massive neutrinos on nonlinear matter power spectrum
• Primordial Neutrinos
• Finding Evidence for Massive Neutrinos using 3D Weak Lensing
• Neutrino Mass, Dark Energy, and the Linear Growth Factor
• Prospects for Constraining Neutrino Mass Using Planck and Lyman-Alpha Forest Data
• Neutrino mass from future high redshift galaxy surveys: sensitivity and detection threshold
• Determining neutrino properties using future galaxy redshift surveys
• Constraining neutrino masses with the ISW-galaxy correlation function

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