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Title: An analytic implementation of the IR-resummation for the BAO peak

Abstract

We develop an analytic method for implementing the IR-resummation of [1], which allows one to correctly and consistently describe the imprint of baryon acoustic oscillations (BAO) on statistical observables in large-scale structure. We show that the final IR-resummed correlation function can be computed analytically without relying on numerical integration, thus allowing for an efficient and accurate use of these predictions on real data in cosmological parameter fitting. In this work we focus on the one-loop correlation function and the BAO peak. We show that, compared with the standard numerical integration method of IR-resummation, the new method is accurate to better than 0.2%, and is quite easily improvable. We also give an approximate resummation scheme which is based on using the linear displacements of a fixed fiducial cosmology, which when combined with the method described above, is about six times faster than the standard numerical integration. Finally, we show that this analytic method is generalizable to higher loop computations.

Authors:
 [1];  [2]
  1. Univ. Paris-Saclay, Gif-sur-Yvette (France)
  2. Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1633952
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2020; Journal Issue: 03; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Lewandowski, Matthew, and Senatore, Leonardo. An analytic implementation of the IR-resummation for the BAO peak. United States: N. p., 2020. Web. doi:10.1088/1475-7516/2020/03/018.
Lewandowski, Matthew, & Senatore, Leonardo. An analytic implementation of the IR-resummation for the BAO peak. United States. doi:https://doi.org/10.1088/1475-7516/2020/03/018
Lewandowski, Matthew, and Senatore, Leonardo. Fri . "An analytic implementation of the IR-resummation for the BAO peak". United States. doi:https://doi.org/10.1088/1475-7516/2020/03/018. https://www.osti.gov/servlets/purl/1633952.
@article{osti_1633952,
title = {An analytic implementation of the IR-resummation for the BAO peak},
author = {Lewandowski, Matthew and Senatore, Leonardo},
abstractNote = {We develop an analytic method for implementing the IR-resummation of [1], which allows one to correctly and consistently describe the imprint of baryon acoustic oscillations (BAO) on statistical observables in large-scale structure. We show that the final IR-resummed correlation function can be computed analytically without relying on numerical integration, thus allowing for an efficient and accurate use of these predictions on real data in cosmological parameter fitting. In this work we focus on the one-loop correlation function and the BAO peak. We show that, compared with the standard numerical integration method of IR-resummation, the new method is accurate to better than 0.2%, and is quite easily improvable. We also give an approximate resummation scheme which is based on using the linear displacements of a fixed fiducial cosmology, which when combined with the method described above, is about six times faster than the standard numerical integration. Finally, we show that this analytic method is generalizable to higher loop computations.},
doi = {10.1088/1475-7516/2020/03/018},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 03,
volume = 2020,
place = {United States},
year = {2020},
month = {3}
}

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Works referenced in this record:

Effective field theory of large scale structure at two loops: The apparent scale dependence of the speed of sound
journal, December 2015


Time-sliced perturbation theory II: baryon acoustic oscillations and infrared resummation
journal, July 2016

  • Blas, Diego; Garny, Mathias; Ivanov, Mikhail M.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 07
  • DOI: 10.1088/1475-7516/2016/07/028

Analytic prediction of baryonic effects from the EFT of large scale structures
journal, May 2015

  • Lewandowski, Matthew; Perko, Ashley; Senatore, Leonardo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 05
  • DOI: 10.1088/1475-7516/2015/05/019

Cosmological perturbation theory in 1+1 dimensions
journal, January 2016


Bias in the effective field theory of large scale structures
journal, November 2015


Consistent effective theory of long-wavelength cosmological perturbations
journal, July 2014


The effective field theory of cosmological large scale structures
journal, September 2012

  • Carrasco, John Joseph M.; Hertzberg, Mark P.; Senatore, Leonardo
  • Journal of High Energy Physics, Vol. 2012, Issue 9
  • DOI: 10.1007/JHEP09(2012)082

Uncorrelated modes of the non-linear power spectrum
journal, February 2000


On the velocity in the Effective Field Theory of Large Scale Structures
journal, March 2014


On the IR-resummation in the EFTofLSS
journal, May 2018


Galaxy bias and primordial non-Gaussianity
journal, December 2015

  • Assassi, Valentin; Baumann, Daniel; Schmidt, Fabian
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 12
  • DOI: 10.1088/1475-7516/2015/12/043

The one-loop matter bispectrum in the Effective Field Theory of Large Scale Structures
journal, October 2015

  • Angulo, Raul E.; Foreman, Simon; Schmittfull, Marcel
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 10
  • DOI: 10.1088/1475-7516/2015/10/039

The trispectrum in the Effective Field Theory of Large Scale Structure
journal, June 2016

  • Bertolini, Daniele; Schutz, Katelin; Solon, Mikhail P.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 06
  • DOI: 10.1088/1475-7516/2016/06/052

The Effective Field Theory of Large Scale Structures at two loops
journal, July 2014

  • Carrasco, John Joseph M.; Foreman, Simon; Green, Daniel
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 07
  • DOI: 10.1088/1475-7516/2014/07/057

The IR-resummed Effective Field Theory of Large Scale Structures
journal, February 2015


On the Robustness of the Acoustic Scale in the Low‐Redshift Clustering of Matter
journal, August 2007

  • Eisenstein, Daniel J.; Seo, Hee‐Jong; White, Martin
  • The Astrophysical Journal, Vol. 664, Issue 2
  • DOI: 10.1086/518755

The 2-loop matter power spectrum and the IR-safe integrand
journal, July 2014

  • Carrasco, John Joseph M.; Foreman, Simon; Green, Daniel
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 07
  • DOI: 10.1088/1475-7516/2014/07/056

The bispectrum in the Effective Field Theory of Large Scale Structure
journal, May 2015

  • Baldauf, Tobias; Mercolli, Lorenzo; Mirbabayi, Mehrdad
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 05
  • DOI: 10.1088/1475-7516/2015/05/007

Fast large scale structure perturbation theory using one-dimensional fast Fourier transforms
journal, May 2016


Equivalence principle and the baryon acoustic peak
journal, August 2015


The Lagrangian-space Effective Field Theory of large scale structures
journal, May 2014

  • Porto, Rafael A.; Senatore, Leonardo; Zaldarriaga, Matias
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 05
  • DOI: 10.1088/1475-7516/2014/05/022

EFT of large scale structures in redshift space
journal, March 2018


Large-scale structure of the Universe and cosmological perturbation theory
journal, September 2002


Infrared resummation for biased tracers in redshift space
journal, July 2018


Planck 2015 results : XIII. Cosmological parameters
journal, September 2016


Cosmological non-linearities as an effective fluid
journal, July 2012

  • Baumann, Daniel; Nicolis, Alberto; Senatore, Leonardo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 07
  • DOI: 10.1088/1475-7516/2012/07/051

Biased tracers and time evolution
journal, July 2015

  • Mirbabayi, Mehrdad; Schmidt, Fabian; Zaldarriaga, Matias
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 07
  • DOI: 10.1088/1475-7516/2015/07/030

Cosmological Perturbations: Entering the Nonlinear Regime
journal, September 1997

  • Scoccimarro, Roman
  • The Astrophysical Journal, Vol. 487, Issue 1
  • DOI: 10.1086/304578

IR-safe and UV-safe integrands in the EFTofLSS with exact time dependence
journal, August 2017

  • Lewandowski, Matthew; Senatore, Leonardo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 08
  • DOI: 10.1088/1475-7516/2017/08/037

On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures
journal, September 2015

  • Angulo, Raul; Fasiello, Matteo; Senatore, Leonardo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 09
  • DOI: 10.1088/1475-7516/2015/09/029

On the renormalization of the effective field theory of large scale structures
journal, August 2013


Precision comparison of the power spectrum in the EFTofLSS with simulations
journal, May 2016

  • Foreman, Simon; Perrier, Hideki; Senatore, Leonardo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 05
  • DOI: 10.1088/1475-7516/2016/05/027

Cosmological perturbation theory using the FFTLog: formalism and connection to QFT loop integrals
journal, April 2018

  • Simonović, Marko; Baldauf, Tobias; Zaldarriaga, Matias
  • Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 04
  • DOI: 10.1088/1475-7516/2018/04/030

The EFT of Large Scale Structures at all redshifts: analytical predictions for lensing
journal, April 2016


Non-Gaussian covariance of the matter power spectrum in the effective field theory of large scale structure
journal, June 2016


A Lagrangian effective field theory
journal, September 2015

  • Vlah, Zvonimir; White, Martin; Aviles, Alejandro
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 09
  • DOI: 10.1088/1475-7516/2015/09/014

FAST-PT: a novel algorithm to calculate convolution integrals in cosmological perturbation theory
journal, September 2016

  • McEwen, Joseph E.; Fang, Xiao; Hirata, Christopher M.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 09
  • DOI: 10.1088/1475-7516/2016/09/015

Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure
journal, May 2013


Lensing reconstruction from line intensity maps: the impact of gravitational nonlinearity
journal, July 2018

  • Foreman, Simon; Meerburg, P. Daniel; Engelen, Alexander van
  • Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 07
  • DOI: 10.1088/1475-7516/2018/07/046

Self-similar Evolution of Gravitational Clustering: Is N = -1 Special?
journal, January 1996

  • Jain, Bhuvnesh; Bertschinger, Edmund
  • The Astrophysical Journal, Vol. 456
  • DOI: 10.1086/176625

Loop Corrections in Nonlinear Cosmological Perturbation Theory
journal, July 1996

  • Scoccimarro, Roman; Frieman, Joshua
  • The Astrophysical Journal Supplement Series, Vol. 105
  • DOI: 10.1086/192306

Effective theory of large-scale structure with primordial non-Gaussianity
journal, November 2015

  • Assassi, Valentin; Baumann, Daniel; Pajer, Enrico
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 11
  • DOI: 10.1088/1475-7516/2015/11/024

Nonlinear Structure Formation and the Acoustic Scale
journal, October 2008

  • Seo, Hee‐Jong; Siegel, Ethan R.; Eisenstein, Daniel J.
  • The Astrophysical Journal, Vol. 686, Issue 1
  • DOI: 10.1086/589921

Nonlinear evolution of baryon acoustic oscillations
journal, January 2008


Principal shapes and squeezed limits in the effective field theory of large scale structure
journal, November 2016


Reducing the two-loop large-scale structure power spectrum to low-dimensional, radial integrals
journal, November 2016


Power Spectra for Cold Dark Matter and Its Variants
journal, January 1999

  • Eisenstein, Daniel J.; Hu, Wayne
  • The Astrophysical Journal, Vol. 511, Issue 1
  • DOI: 10.1086/306640

An effective description of dark matter and dark energy in the mildly non-linear regime
journal, May 2017

  • Lewandowski, Matthew; Maleknejad, Azadeh; Senatore, Leonardo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 05
  • DOI: 10.1088/1475-7516/2017/05/038

Efficient exploration of cosmology dependence in the EFT of LSS
journal, April 2017

  • Cataneo, Matteo; Foreman, Simon; Senatore, Leonardo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 04
  • DOI: 10.1088/1475-7516/2017/04/026

Very massive tracers and higher derivative biases
journal, January 2020

  • Fujita, Tomohiro; Mauerhofer, Valentin; Senatore, Leonardo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2020, Issue 01
  • DOI: 10.1088/1475-7516/2020/01/009

Tree-level bispectrum in the effective field theory of large-scale structure extended to massive neutrinos
journal, February 2019


On the bispectra of very massive tracers in the Effective Field Theory of Large-Scale Structure
journal, February 2018

  • Nadler, Ethan O.; Perko, Ashley; Senatore, Leonardo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 02
  • DOI: 10.1088/1475-7516/2018/02/058

Perturbation theory, effective field theory, and oscillations in the power spectrum
journal, March 2016

  • Vlah, Zvonimir; Seljak, Uroš; Chu, Man Yat
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 03
  • DOI: 10.1088/1475-7516/2016/03/057

Lagrangian or Eulerian; real or Fourier? Not all approaches to large-scale structure are created equal
journal, June 2014


On the reach of perturbative descriptions for dark matter displacement fields
journal, March 2016

  • Baldauf, Tobias; Schaan, Emmanuel; Zaldarriaga, Matias
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 03
  • DOI: 10.1088/1475-7516/2016/03/017