Author:
Taule Petter,Garny Mathias
Abstract
Abstract
We present the matter power spectrum in redshift space including two-loop corrections. We
follow a strictly perturbative approach incorporating all non-linearities entering both via the
redshift-space mapping and within real space up to the required (fifth) order, complemented by
suitable effective field theory (EFT) corrections. This approach can a priori be viable up to
scales of order 0.2h Mpc-1 beyond which power suppression related to the finger-of-God effect
becomes non-perturbatively strong. We extend a simplified treatment of EFT corrections at
two-loop order from real to redshift space, making sure that the leading UV-sensitivity of both
the single-hard and double-hard limit of the two-loop contributions to the power spectrum is
accounted for, and featuring two free parameters for each multipole. Taking also
infrared-resummation into account, we calibrate with and compare to Quijote N-body simulations
for the monopole and quadrupole at redshifts z = 0 and z = 0.5. We find agreement within sample
variance (at percent-level) up to 0.18h Mpc-1 at two-loop order, compared to 0.1h Mpc-1 at
one-loop. We also investigate the role of higher-derivative corrections.
Subject
Astronomy and Astrophysics