On the IR-Resummation in the EFTofLSS

Abstract

We propose a simplification for the IR-resummation scheme of Senatore and Zaldarriaga, and also include its next-to-leading order corrections coming from the tree-level three-point function of the long displacement field. First we show that the new simplified formula shares the same properties of the resummation of Senatore and Zaldarriaga. In Fourier space, the IR-resummed power spectrum has no residual wiggles and the two-loop calculation matches the non-linear power spectrum of the Dark Sky simulation at $z=0$ up to $k\simeq 0.34h{\text{Mpc}}^{-1}$ within cosmic variance. Then, we find that the additional subleading terms (although parametrically infrared-enhanced) modify the leading-order IR-resummed correlation function only in a marginal way, implying that the IR-resummation scheme can robustly predict the shape of the BAO peak.

18 pages, 5 figures

References in corpus (6)

• The Effective Field Theory of Cosmological Large Scale Structures
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• The IR-resummed Effective Field Theory of Large Scale Structures
• The Bispectrum in the Effective Field Theory of Large Scale Structure
• Lagrangian perturbation theory at one loop order: successes, failures, and improvements
• Redshift Space Distortions in the Effective Field Theory of Large Scale Structures

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