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arXiv · 1710.02178

On the IR-Resummation in the EFTofLSS

Leonardo Senatore·Gabriele Trevisan
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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 $k\simeq0.34\,h\,\text{Mpc}^{-1}$ 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.

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Leonardo Senatore, Gabriele Trevisan. 2017-10-05. On the IR-Resummation in the EFTofLSS. https://doi.org/10.1088/1475-7516%2F2018%2F05%2F019

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