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Title: Tree-level bispectrum in the effective field theory of large-scale structure extended to massive neutrinos

Abstract

We compute the tree-level bispectrum of dark matter in the presence of massive neutrinos in the mildly non-linear regime in the context of the effective field theory of large-scale structure (EFTofLSS) . For neutrinos, whose typical free streaming wavenumber (kfs) is longer than the non-linear scale (kNL), we solve a Boltzmann equation coupled to the effective fluid equation for dark matter. We solve perturbatively the coupled system by expanding in powers of the neutrino density fraction (fν) and the ratio of the wavenumber of interest over the non-linear scale (k/kNL) and add suitable counterterms to remove the dependence from short distance physics. For equilateral configurations, we find that the total-matter tree-level bispectrum is approximately 16fν times the dark matter one on short scales (k > kfs). The largest contribution stems from the back-reaction of massive neutrinos on the dark matter growth factor. As a result, on large scales (k < kfs) the contribution of neutrinos to the bispectrum is smaller by up to two orders of magnitude.

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. ETH Zurich, Zurich (Switzerland); Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. Stanford Univ., Stanford, 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:
1507028
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2019; Journal Issue: 02; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; cosmology; large-scale structure; neutrinos

Citation Formats

de Belsunce, Roger, and Senatore, Leonardo. Tree-level bispectrum in the effective field theory of large-scale structure extended to massive neutrinos. United States: N. p., 2019. Web. doi:10.1088/1475-7516/2019/02/038.
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de Belsunce, Roger, & Senatore, Leonardo. Tree-level bispectrum in the effective field theory of large-scale structure extended to massive neutrinos. United States. https://doi.org/10.1088/1475-7516/2019/02/038
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de Belsunce, Roger, and Senatore, Leonardo. Mon . "Tree-level bispectrum in the effective field theory of large-scale structure extended to massive neutrinos". United States. https://doi.org/10.1088/1475-7516/2019/02/038. https://www.osti.gov/servlets/purl/1507028.
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@article{osti_1507028,
title = {Tree-level bispectrum in the effective field theory of large-scale structure extended to massive neutrinos},
author = {de Belsunce, Roger and Senatore, Leonardo},
abstractNote = {We compute the tree-level bispectrum of dark matter in the presence of massive neutrinos in the mildly non-linear regime in the context of the effective field theory of large-scale structure (EFTofLSS) . For neutrinos, whose typical free streaming wavenumber (kfs) is longer than the non-linear scale (kNL), we solve a Boltzmann equation coupled to the effective fluid equation for dark matter. We solve perturbatively the coupled system by expanding in powers of the neutrino density fraction (fν) and the ratio of the wavenumber of interest over the non-linear scale (k/kNL) and add suitable counterterms to remove the dependence from short distance physics. For equilateral configurations, we find that the total-matter tree-level bispectrum is approximately 16fν times the dark matter one on short scales (k > kfs). The largest contribution stems from the back-reaction of massive neutrinos on the dark matter growth factor. As a result, on large scales (k < kfs) the contribution of neutrinos to the bispectrum is smaller by up to two orders of magnitude.},
doi = {10.1088/1475-7516/2019/02/038},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 02,
volume = 2019,
place = {United States},
year = {Mon Feb 18 00:00:00 EST 2019},
month = {Mon Feb 18 00:00:00 EST 2019}
}
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https://doi.org/10.1088/1475-7516/2019/02/038
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text, January 2016

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    Works referencing / citing this record:

    Measuring neutrino masses with large-scale structure: Euclid forecast with controlled theoretical error
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    How to add massive neutrinos to your ΛCDM simulation – extending cosmology rescaling algorithms
    journal, September 2019

    • Zennaro, Matteo; Angulo, Raúl E.; Aricò, Giovanni
    • Monthly Notices of the Royal Astronomical Society, Vol. 489, Issue 4
    • DOI: 10.1093/mnras/stz2612

    Primordial Non-Gaussianity from Biased Tracers: Likelihood Analysis of Real-Space Power Spectrum and Bispectrum
    text, January 2020

    The Covariance of Squeezed Bispectrum Configurations
    text, January 2021

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