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Title: Lagrangian perturbations and the matter bispectrum II: the resummed one-loop correction to the matter bispectrum

Abstract

This is part two in a series of papers in which we investigate an approach based on Lagrangian perturbation theory (LPT) to study the non-linear evolution of the large-scale structure distribution in the universe. Firstly, we compute the matter bispectrum in real space using LPT up one-loop order, for both Gaussian and non-Gaussian initial conditions. In the initial position limit, we find that the one-loop bispectrum computed in this manner is identical to its counterpart obtained from standard Eulerian perturbation theory (SPT). Furthermore, the LPT formalism allows for a simple reorganisation of the perturbative series corresponding to the resummation of an infinite series of perturbations in SPT. Applying this method, we find a resummed one-loop bispectrum that compares favourably with results from N-body simulations. We generalise the resummation method also to the computation of the redshift-space bispectrum up to one loop.

Authors:
Publication Date:
OSTI Identifier:
22280005
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2012; Journal Issue: 06; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASTROPHYSICS; CALCULATION METHODS; COMPARATIVE EVALUATIONS; CORRECTIONS; COSMOLOGY; LAGRANGIAN FUNCTION; NONLINEAR PROBLEMS; PERTURBATION THEORY; RED SHIFT; SPACE; UNIVERSE

Citation Formats

Rampf, Cornelius, and Wong, Yvonne Y.Y., E-mail: rampf@physik.rwth-aachen.de, E-mail: yvonne.wong@physik.rwth-aachen.de. Lagrangian perturbations and the matter bispectrum II: the resummed one-loop correction to the matter bispectrum. United States: N. p., 2012. Web. doi:10.1088/1475-7516/2012/06/018.
Rampf, Cornelius, & Wong, Yvonne Y.Y., E-mail: rampf@physik.rwth-aachen.de, E-mail: yvonne.wong@physik.rwth-aachen.de. Lagrangian perturbations and the matter bispectrum II: the resummed one-loop correction to the matter bispectrum. United States. https://doi.org/10.1088/1475-7516/2012/06/018
Rampf, Cornelius, and Wong, Yvonne Y.Y., E-mail: rampf@physik.rwth-aachen.de, E-mail: yvonne.wong@physik.rwth-aachen.de. 2012. "Lagrangian perturbations and the matter bispectrum II: the resummed one-loop correction to the matter bispectrum". United States. https://doi.org/10.1088/1475-7516/2012/06/018.
@article{osti_22280005,
title = {Lagrangian perturbations and the matter bispectrum II: the resummed one-loop correction to the matter bispectrum},
author = {Rampf, Cornelius and Wong, Yvonne Y.Y., E-mail: rampf@physik.rwth-aachen.de, E-mail: yvonne.wong@physik.rwth-aachen.de},
abstractNote = {This is part two in a series of papers in which we investigate an approach based on Lagrangian perturbation theory (LPT) to study the non-linear evolution of the large-scale structure distribution in the universe. Firstly, we compute the matter bispectrum in real space using LPT up one-loop order, for both Gaussian and non-Gaussian initial conditions. In the initial position limit, we find that the one-loop bispectrum computed in this manner is identical to its counterpart obtained from standard Eulerian perturbation theory (SPT). Furthermore, the LPT formalism allows for a simple reorganisation of the perturbative series corresponding to the resummation of an infinite series of perturbations in SPT. Applying this method, we find a resummed one-loop bispectrum that compares favourably with results from N-body simulations. We generalise the resummation method also to the computation of the redshift-space bispectrum up to one loop.},
doi = {10.1088/1475-7516/2012/06/018},
url = {https://www.osti.gov/biblio/22280005}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 06,
volume = 2012,
place = {United States},
year = {Fri Jun 01 00:00:00 EDT 2012},
month = {Fri Jun 01 00:00:00 EDT 2012}
}