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2019

The Effective Field Theory of Large Scale Structure at Three Loops

Konstandin, Thomas, Porto, Rafael A., Rubira, Henrique

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We study the power spectrum of dark matter density fluctuations in the framework of the Effective Field Theory of Large Scale Structures (EFTofLSS) up to three loop orders.

In principle, several counter-terms may be needed to handle the short-distance sensitivity in perturbation theory.
However, we show that a small number of extra coefficients are sufficient to match numerical simulations with percent accuracy when a generic renormalization prescription is implemented (allowing for running of the individual counter-terms).
We show that the level of accuracy increases with respect to the two loop results, up to $k \simeq 0.4\, h$Mpc$^{-1}$ at redshift $z=0$, although the overall improvement is somewhat marginal.

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