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We study the Effective Field Theory of Large Scale Structure for cosmicdensity and momentum fields. We show that the finite part of the two-loopcalculation and its counterterms introduce an apparent scale dependence for theleading order parameter $c_\text{s}^2$ of the EFT starting at k=0.1 h/Mpc.These terms limit the range over which one can trust the one-loop EFTcalculation at the 1 % level to k<0.1 h/Mpc at redshift z=0. We construct awell motivated one parameter ansatz to fix the relative size of the one- andtwo-loop counterterms using their high-k sensitivity. Although this oneparameter model is a very restrictive choice for the counterterms, it explainsthe apparent scale dependence of $c_\text{s}^2$ seen in simulations. It is alsoable to capture the scale dependence of the density power spectrum up tok$\approx$ 0.3 h/Mpc at the 1 % level at redshift $z=0$. Considering a simplescheme for the resummation of large scale motions, we find that the two loopcalculation reduces the need for this IR-resummation at k<0.2 h/Mpc. Finally,we extend our calculation to momentum statistics and show that the same oneparameter model can also describe density-momentum and momentum-momentumstatistics.

The Effective Field Theory of Large Scale Structure at Two Loops: the apparent scale dependence of the speed of sound