The bispectrum in the Effective Field Theory of Large Scale Structure

Tobias Baldauf; Lorenzo Mercolli; Mehrdad Mirbabayi; Enrico Pajer

doi:10.1088/1475-7516/2015/05/007

The bispectrum in the Effective Field Theory of Large Scale Structure

Tobias Baldauf^*, Lorenzo Mercolli, Mehrdad Mirbabayi, Enrico Pajer

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

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 k(max) approximate to 0.22 h Mpc(-1) at z = 0, an improvement by nearly a factor of two as compared to one-loop standard perturbation theory.

Original language	English
Article number	007
Number of pages	55
Journal	Journal of Cosmology and Astroparticle Physics
Issue number	5
DOIs	https://doi.org/10.1088/1475-7516/2015/05/007
Publication status	Published - May 2015

Funding

We would like to thank Guido D'Amico, Roman Scoccimarro and Matias Zaldarriaga for useful discussions and comments on the manuscript. We would like to thank the authors of [25] M. Crocce, V. Desjacques and E. Sefusatti for providing their bispectrum measurements, which we used to validate our code. We thank also L. Senatore for coordinating the simultaneous submission our papers on the bispectrum in the EFTofLSS. T.B. gratefully acknowledges support from the Institute for Advanced Study through the W. M. Keck Foundation Fund. L.M. is supported by a grant from the Swiss National Science Foundation. M.M. acknowledges support by NSF Grant PHY-1314311. E.P. is supported in part by the Department of Energy grant DE-FG02-91ER-40671.

Keywords

particle physics - cosmology connection
cosmological perturbation theory
baryon acoustic oscillations
cosmic web
COSMOLOGICAL PERTURBATION-THEORY
INITIAL CONDITIONS
POWER SPECTRUM
UNIVERSE
SIMULATIONS
EVOLUTION

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title = "The bispectrum in the Effective Field Theory of Large Scale Structure",

abstract = "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 k(max) approximate to 0.22 h Mpc(-1) at z = 0, an improvement by nearly a factor of two as compared to one-loop standard perturbation theory.",

keywords = "particle physics - cosmology connection, cosmological perturbation theory, baryon acoustic oscillations, cosmic web, COSMOLOGICAL PERTURBATION-THEORY, INITIAL CONDITIONS, POWER SPECTRUM, UNIVERSE, SIMULATIONS, EVOLUTION",

author = "Tobias Baldauf and Lorenzo Mercolli and Mehrdad Mirbabayi and Enrico Pajer",

year = "2015",

month = may,

doi = "10.1088/1475-7516/2015/05/007",

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AU - Baldauf, Tobias

AU - Mercolli, Lorenzo

AU - Mirbabayi, Mehrdad

AU - Pajer, Enrico

PY - 2015/5

Y1 - 2015/5

N2 - 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 k(max) approximate to 0.22 h Mpc(-1) at z = 0, an improvement by nearly a factor of two as compared to one-loop standard perturbation theory.

AB - 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 k(max) approximate to 0.22 h Mpc(-1) at z = 0, an improvement by nearly a factor of two as compared to one-loop standard perturbation theory.

KW - particle physics - cosmology connection

KW - cosmological perturbation theory

KW - baryon acoustic oscillations

KW - cosmic web

KW - COSMOLOGICAL PERTURBATION-THEORY

KW - INITIAL CONDITIONS

KW - POWER SPECTRUM

KW - UNIVERSE

KW - SIMULATIONS

KW - EVOLUTION

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DO - 10.1088/1475-7516/2015/05/007

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JO - Journal of Cosmology and Astroparticle Physics

JF - Journal of Cosmology and Astroparticle Physics

IS - 5

M1 - 007

ER -

The bispectrum in the Effective Field Theory of Large Scale Structure

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