FAST-PT II: an algorithm to calculate convolution integrals of general tensor quantities in cosmological perturbation theory

Cosmological perturbation theory is a powerful tool to predict the statistics of large-scale structure in the weakly non-linear regime, but even at 1-loop order it results in computationally expensive mode-coupling integrals. Here we present a fast algorithm for computing 1-loop power spectra of qua...

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Published inJournal of cosmology and astroparticle physics Vol. 2017; no. 2; p. 30
Main Authors Fang, Xiao, Blazek, Jonathan A., McEwen, Joseph E., Hirata, Christopher M.
Format Journal Article
LanguageEnglish
Published United States 16.02.2017
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Online AccessGet full text
ISSN1475-7516
1475-7516
DOI10.1088/1475-7516/2017/02/030

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Abstract Cosmological perturbation theory is a powerful tool to predict the statistics of large-scale structure in the weakly non-linear regime, but even at 1-loop order it results in computationally expensive mode-coupling integrals. Here we present a fast algorithm for computing 1-loop power spectra of quantities that depend on the observer's orientation, thereby generalizing the FAST-PT framework (McEwen et al., 2016) that was originally developed for scalars such as the matter density. This algorithm works for an arbitrary input power spectrum and substantially reduces the time required for numerical evaluation. We apply the algorithm to four examples: intrinsic alignments of galaxies in the tidal torque model; the Ostriker-Vishniac effect; the secondary CMB polarization due to baryon flows; and the 1-loop matter power spectrum in redshift space. Code implementing this algorithm and these applications is publicly available at https://github.com/JoeMcEwen/FAST-PT.
AbstractList Cosmological perturbation theory is a powerful tool to predict the statistics of large-scale structure in the weakly non-linear regime, but even at 1-loop order it results in computationally expensive mode-coupling integrals. Here we present a fast algorithm for computing 1-loop power spectra of quantities that depend on the observer's orientation, thereby generalizing the FAST-PT framework (McEwen et al., 2016) that was originally developed for scalars such as the matter density. This algorithm works for an arbitrary input power spectrum and substantially reduces the time required for numerical evaluation. We apply the algorithm to four examples: intrinsic alignments of galaxies in the tidal torque model; the Ostriker-Vishniac effect; the secondary CMB polarization due to baryon flows; and the 1-loop matter power spectrum in redshift space. Code implementing this algorithm and these applications is publicly available at https://github.com/JoeMcEwen/FAST-PT.
Author Fang, Xiao
Hirata, Christopher M.
Blazek, Jonathan A.
McEwen, Joseph E.
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  surname: McEwen
  fullname: McEwen, Joseph E.
– sequence: 4
  givenname: Christopher M.
  surname: Hirata
  fullname: Hirata, Christopher M.
BackLink https://www.osti.gov/biblio/22680025$$D View this record in Osti.gov
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Snippet Cosmological perturbation theory is a powerful tool to predict the statistics of large-scale structure in the weakly non-linear regime, but even at 1-loop...
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StartPage 30
SubjectTerms ALGORITHMS
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
BARYONS
COSMOLOGICAL MODELS
DENSITY
DISTURBANCES
GALAXIES
NONLINEAR PROBLEMS
PERTURBATION THEORY
POLARIZATION
RED SHIFT
RELICT RADIATION
SPACE
SPECTRA
STATISTICS
TENSORS
TORQUE
Title FAST-PT II: an algorithm to calculate convolution integrals of general tensor quantities in cosmological perturbation theory
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