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 \Lambda CDM picture as well as measurements of particle physics parameters such as the neutrino masses .
We extend the Time-RG perturbative framework to redshift space , computing the power spectrum P _ { s } ( k, \mu ) 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 P _ { s } ( k, \mu ) 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 non-linear power spectrum , we find that the two effects depend differently on the line-of-sight angle \mu .
Finally , we use the HACC N-body code to quantify errors in the perturbative calculations .
For a \Lambda CDM model at redshift z = 1 , our procedure predicts the monopole ( quadrupole ) to 1 \% accuracy up to a wave number 0.19 h / Mpc ( 0.28 h / Mpc ) , compared to 0.08 h / Mpc ( 0.07 h / Mpc ) for the Kaiser approximation and 0.19 h / Mpc ( 0.16 h / 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| \sim 1 .
Along with this article , we make our redshift-space Time-RG implementation publicly available as the code redTime .