We further develop the description of redshift-space distortions within the effective field theory of large scale structures. First, we generalize the counterterms to include the effect of baryonic physics and primordial non-Gaussianity. Second, we evaluate the IR resummation of the dark matter power spectrum in redshift space. This requires us to identify a controlled approximation that makes the numerical evaluation straightforward and efficient. Third, we compare the predictions of the theory at one loop with the power spectrum from numerical simulations up to $\ell =6$. We find that the IR resummation allows us to correctly reproduce the baryon acoustic oscillation peak. The $k$ reach—or, equivalently, the precision for a given $k$—depends on additional counterterms that need to be matched to simulations. Since the nonlinear scale for the velocity is expected to be longer than the one for the overdensity, we consider a minimal and a nonminimal set of counterterms. The quality of our numerical data makes it hard to firmly establish the performance of the theory at high wave numbers. Within this limitation, we find that the theory at redshift $z=0.56$ and up to $\ell =2$ matches the data at the percent level approximately up to $k\sim 0.13h{\mathrm{Mpc}}^{-1}$ or $k\sim 0.18h{\mathrm{Mpc}}^{-1}$, depending on the number of counterterms used, with a potentially large improvement over former analytical techniques.

• Received 1 October 2017

DOI:https://doi.org/10.1103/PhysRevD.97.063526