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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]
+ Show Author Affiliations
  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 Laboratory (SLAC), 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.
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Lewandowski, Matthew, & Senatore, Leonardo. An analytic implementation of the IR-resummation for the BAO peak. United States. https://doi.org/10.1088/1475-7516/2020/03/018
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Lewandowski, Matthew, and Senatore, Leonardo. Fri . "An analytic implementation of the IR-resummation for the BAO peak". United States. https://doi.org/10.1088/1475-7516/2020/03/018. https://www.osti.gov/servlets/purl/1633952.
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@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 = {Fri Mar 06 00:00:00 EST 2020},
month = {Fri Mar 06 00:00:00 EST 2020}
}
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Journal Article:
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https://doi.org/10.1088/1475-7516/2020/03/018
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