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2016

The Trispectrum in the Effective Field Theory of Large Scale Structure

Bertolini, Daniele, Schutz, Katelin, Solon, Mikhail P. et al.

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We compute the connected four point correlation function (the trispectrum in Fourier space) of cosmological density perturbations at one-loop order in Standard Perturbation Theory (SPT) and the Effective Field Theory of Large Scale Structure (EFT of LSS).

This paper is a companion to our earlier work on the non-Gaussian covariance of the matter power spectrum, which corresponds to a particular wavenumber configuration of the trispectrum.
In the present calculation, we highlight and clarify some of the subtle aspects of the EFT framework that arise at third order in perturbation theory for general wavenumber configurations of the trispectrum.
We consistently incorporate vorticity and non-locality in time into the EFT counterterms and lay out a complete basis of building blocks for the stress tensor.

The Trispectrum in the Effective Field Theory of Large Scale Structure · Around

Built on

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1996
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1997
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A. Lewis, A. Challinor, and A. Lasenby, Efficient computation of CMB anisotropies in closed FRW models
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L. Verde and A. F. Heavens, On the Trispectrum as a Gaussian Test for Cosmology
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D. H. Lyth and D. Wands, Generating the curvature perturbation without an inflaton
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N. Bartolo, S. Matarrese, and A. Riotto, Non-Gaussianity from inflation
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T. Okamoto and W. Hu, Angular trispectra of CMB temperature and polarization
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D. H. Lyth, C. Ungarelli, and D. Wands, Primordial density perturbation in the curvaton scenario
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Then

R. E. Angulo, S. Foreman, M. Schmittfull, and L. Senatore, The One-Loop Matter Bispectrum in the Effective Field Theory of Large Scale Structures
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J. J. M. Carrasco, S. Foreman, D. Green, and L. Senatore, The Effective Field Theory of Large Scale Structures at two loops
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J. J. M. Carrasco, S. Foreman, D. Green, and L. Senatore, The 2-loop matter power spectrum and the IR-safe integrand
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D. Bertolini, K. Schutz, M. P. Solon, J. R. Walsh, and K. M. Zurek, Non-Gaussian Covariance of the Matter Power Spectrum in the Effective Field Theory of Large Scale Structure

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