2009/01/28 by J. Lesgourgues, Julien Lesgourgues, S. Matarrese +4 · 111 citations
Physics and Astronomy · #Algorithm #Astrophysics #Astrophysics and Cosmic Phenomena #Computation #Cosmological perturbation theory #Cosmology #Cosmology and Gravitation Theories #Dark energy #Mathematical physics #Matter power spectrum #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Perturbation theory (quantum mechanics) #Physics #Quantum chromodynamics #Renormalization group #Resummation #Spectral density #Statistical physics #Statistics #astro-ph.CO #hep-ph #hep-th
paper · pdf · doi:10.1088/1475-7516/2009/06/017
published in Journal of Cosmology and Astroparticle Physics 2009(06), 017 (Institute of Physics) · 8 pages, 11 figures
arxiv created 2009/01/28 · openalex publication_date 2009/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Future large scale structure observations are expected to be sensitive to small neutrino masses, of the order of 0.05 eV or more. However, forecasts are based on the assumption that by the time at which these datasets will be available, the non-linear spectrum in presence of neutrino mass will be predicted with an accuracy at least equal to the neutrino mass effect itself, i.e. about 3%. Motivated by these considerations, we present the computation of the non-linear power spectrum of ΛCDM models in the presence of massive neutrinos using the Renormalization Group (RG) time-flow approach, which amounts to a resummation of perturbative corrections to the matter power spectrum to all orders. We compare our results with those obtained with other methods, i.e. linear theory, one-loop perturbation theory and N-body simulations and show that the time-RG method improves the one-loop method in fitting the N-body data, especially in determining the suppression of the matter power spectrum when neutrino are massive with respect to the linear power spectrum.