The bispectrum in the Effective Field Theory of Large Scale Structure

By T. Baldauf, L. Mercolli, Mehrdad Mirbabayi, E. Pajer. 2014

146 citations recorded by the source corpus.

We study the bispectrum in the Effective Field Theory of Large Scale Structure, consistently accounting for the effects of short-scale dynamics. We begin by proving that, as long as the theory is perturbative, it can be formulated to arbitrary order using only operators that are local in time. We then derive all the new operators required to cancel the UV-divergences and obtain a physically meaningful prediction for the one-loop bispectrum. In addition to new, subleading stochastic noises and the viscosity term needed for the one-loop power spectrum, we find three new effective operators. The three new parameters can be constrained by comparing with N-body simulations. The best fit is precisely what is suggested by the structure of UV-divergences, hence justifying a formula for the EFTofLSS bispectrum whose only fitting parameter is already fixed by the power spectrum. This result predicts the bispectrum of N-body simulations up to kmax≈0.22 h Mpc−1 at 0z=, an improvement by nearly a factor of two as compared to one-loop standard perturbation theory.

Subfields: Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9ee21a169ddd15b7a7ccf39fcb2b94b3489288ac

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In Astronomy and Astrophysics

In Statistical and Nonlinear Physics

Citations in the corpus

Limits on wCDM from the EFTofLSS with the PyBird code (2020, methodology): “The dark-matter bispectrum has been computed at one-loop in [31, 32], the one-loop trispectrum in [33], the displacement field in [34].”
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies (2016, methodology): “We have developed a new bispectrum measurement pipeline, which is significantly faster than that used in GilMaŕın et al. (2015a), based on the estimator described in Sefusatti (2005); Baldauf et al. (2015).”
The cosmological analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure (2019, methodology): “The dark-matter bispectrum has been computed at one-loop in [28, 29], the one-loop trispectrum in [30], the displacement field in [31].”
Biased Tracers in Redshift Space in the EFT of Large-Scale Structure (2016, background): “years the Effective Field Theory of Large-Scale Structure 1 (EFTofLSS) [2, 3, 4, 5] has provided a tool where predictions in the mildly non-linear regime can be delivered with an at-least-in-principle arbitrary theoretical precision, and most probably with a precision that should be enough for next ”
On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures (2015, background): “The results for dark matter power spectra [3, 9] and bispectra [10, 11] seem to show that there is perturbative control up to the relatively UV scale of k ' 0.”
Testing Inflation with Large Scale Structure: Connecting Hopes with Reality (2014, methodology): “The bispectrum in this Effective Field Theory of Large Scale Structure approach has been recently computed in [129, 130].”
Biased tracers and time evolution (2014, background): “9) on the form of the effective stress-tensor in the EFT of large scale structures was discussed in [12].”
Bias in the effective field theory of large scale structures (2014, background): “Similarly promising results have been obtained at one-loop for the momentum power spectrum [4] and the dark matter bispectrum [6, 7].”
The Hubble tension in light of the Full-Shape analysis of Large-Scale Structure data (2020, methodology): “The dark-matter bispectrum has been computed at one-loop in [31, 32], the one-loop trispectrum in [33], and the displacement field in [34].”