2015/06/30 by Amol Upadhye, Juliana Kwan, Adrian Pope +4 · 33 citations
Physics and Astronomy · #Astrophysics #Cosmology #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Dark energy #Galaxies: Formation, Evolution, Phenomena #Galaxy #Lambda #Matter power spectrum #Neutrino #Particle physics #Physics #Quantum mechanics #Redshift #Spectral density #astro-ph.CO
paper · pdf · doi:10.1103/physrevd.93.063515
published in Physical review. D/Physical review. D. 93(6) (American Physical Society) · 18 pages, 17 figures, 4 tables. Matches version accepted by PRD. redTime code available at http://www.hep.anl.gov/cosmology/pert.html
arxiv created 2016/03/01 · openalex publication_date 2016/03/16 · arxiv updated 2016/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Large-scale structure surveys in the coming years will measure the redshift-space power spectrum to unprecedented accuracy, allowing for powerful new tests of the \mathrm\ensuremathΛ cold dark matter (\mathrm\ensuremathΛCDM) picture as well as measurements of particle physics parameters such as the neutrino masses. We extend the time-renormalization-group (RG) perturbative framework to redshift space, computing the power spectrum Ps(k,\ensuremathμ) in massive neutrino cosmologies with time-dependent dark energy equations of state w(z). Time-RG is uniquely capable of incorporating scale-dependent growth into the Ps(k,\ensuremathμ) computation, which is important for massive neutrinos as well as modified gravity models. Although changes to w(z) and the neutrino mass fraction both affect the late-time scale dependence of the nonlinear power spectrum, we find that the two effects depend differently on the line-of-sight angle \ensuremathμ. Finally, we use the hacc N-body code to quantify errors in the perturbative calculations. For a \mathrm\ensuremathΛCDM model at redshift z=1, our procedure predicts the monopole (quadrupole) to 1% accuracy up to a wave number 0.19h/Mpc (0.28h/Mpc), compared to 0.08h/Mpc (0.07h/Mpc) for the Kaiser approximation and 0.19h/Mpc (0.16h/Mpc) for the current state-of-the-art perturbation scheme. Our calculation agrees with the simulated redshift-space power spectrum even for neutrino masses above the current bound, and for rapidly evolving dark energy equations of state, |dw/dz|\ensuremath∼1. Along with this article, we make our redshift-space time-RG implementation publicly available as the code redtime.