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Title: On the bispectra of very massive tracers in the Effective Field Theory of Large-Scale Structure

Abstract

The Effective Field Theory of Large-Scale Structure (EFTofLSS) provides a consistent perturbative framework for describing the statistical distribution of cosmological large-scale structure. In a previous EFTofLSS calculation that involved the one-loop power spectra and tree-level bispectra, it was shown that the k-reach of the prediction for biased tracers is comparable for all investigated masses if suitable higher-derivative biases, which are less suppressed for more massive tracers, are added. However, it is possible that the non-linear biases grow faster with tracer mass than the linear bias, implying that loop contributions could be the leading correction to the bispectra. To check this, we include the one-loop contributions in a fit to numerical data in the limit of strongly enhanced higher-order biases. Here, we show that the resulting one-loop power spectra and higher-derivative plus leading one-loop bispectra fit the two- and three-point functions respectively up to k≃0.19 h Mpc-1 and ksime 0.14 h Mpc-1 at the percent level. We find that the higher-order bias coefficients are not strongly enhanced, and we argue that the gain in perturbative reach due to the leading one-loop contributions to the bispectra is relatively small. Thus, we conclude that higher-derivative biases provide the leading correction to the bispectramore » for tracers of a very wide range of masses.« less

Authors:
 [1];  [2];  [3]
  1. Stanford Univ., CA (United States). Kavli Inst. for Particle Astrophysics and Cosmology and Dept. of Physics
  2. Stanford Univ., CA (United States). Kavli Inst. for Particle Astrophysics and Cosmology and Dept. of Physics; Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States); Dartmouth College, Hanover, NH (United States). Dept. of Physics and Astronomy
  3. Stanford Univ., CA (United States). Kavli Inst. for Particle Astrophysics and Cosmology and Dept. of Physics; Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics; 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; National Science Foundation (NSF)
OSTI Identifier:
1437577
Grant/Contract Number:  
AC02-76SF00515; 1720397
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2018; 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

Citation Formats

Nadler, Ethan O., Perko, Ashley, and Senatore, Leonardo. On the bispectra of very massive tracers in the Effective Field Theory of Large-Scale Structure. United States: N. p., 2018. Web. doi:10.1088/1475-7516/2018/02/058.
Nadler, Ethan O., Perko, Ashley, & Senatore, Leonardo. On the bispectra of very massive tracers in the Effective Field Theory of Large-Scale Structure. United States. doi:10.1088/1475-7516/2018/02/058.
Nadler, Ethan O., Perko, Ashley, and Senatore, Leonardo. Thu . "On the bispectra of very massive tracers in the Effective Field Theory of Large-Scale Structure". United States. doi:10.1088/1475-7516/2018/02/058. https://www.osti.gov/servlets/purl/1437577.
@article{osti_1437577,
title = {On the bispectra of very massive tracers in the Effective Field Theory of Large-Scale Structure},
author = {Nadler, Ethan O. and Perko, Ashley and Senatore, Leonardo},
abstractNote = {The Effective Field Theory of Large-Scale Structure (EFTofLSS) provides a consistent perturbative framework for describing the statistical distribution of cosmological large-scale structure. In a previous EFTofLSS calculation that involved the one-loop power spectra and tree-level bispectra, it was shown that the k-reach of the prediction for biased tracers is comparable for all investigated masses if suitable higher-derivative biases, which are less suppressed for more massive tracers, are added. However, it is possible that the non-linear biases grow faster with tracer mass than the linear bias, implying that loop contributions could be the leading correction to the bispectra. To check this, we include the one-loop contributions in a fit to numerical data in the limit of strongly enhanced higher-order biases. Here, we show that the resulting one-loop power spectra and higher-derivative plus leading one-loop bispectra fit the two- and three-point functions respectively up to k≃0.19 h Mpc-1 and ksime 0.14 h Mpc-1 at the percent level. We find that the higher-order bias coefficients are not strongly enhanced, and we argue that the gain in perturbative reach due to the leading one-loop contributions to the bispectra is relatively small. Thus, we conclude that higher-derivative biases provide the leading correction to the bispectra for tracers of a very wide range of masses.},
doi = {10.1088/1475-7516/2018/02/058},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 02,
volume = 2018,
place = {United States},
year = {2018},
month = {2}
}

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Figures / Tables:

Figure 1 Figure 1: Results from fitting EFTofLSS predictions for the power spectra and bispectra of biased tracers to data from the Millennium-XXL N-body simulation. We plot p-values from fits to the two- and three-point functions of light tracers (Bin 0; Mhalo ∼ 1012 M⊙ ) and very massive tracers (Bin 3;more » Mhalo ∼ 1014 M⊙ ). For Bin 0, we show p-values for the with the one-loop power spectra and tree-level bispectra (light blue; kfit = 0.15 h Mpc −1), and for the fit where the bisepctra include the leading one-loop contributions in the high-bias-scaling limit (dashed blue; kfit = 0.15 h Mpc −1). For Bin 3, we show p-values for the fit with the one-loop power spectra and tree-level bispectra (yellow; kfit = 0.12 h Mpc −1), and for fits that include the leading one-loop bispectra in the high-bias-scaling limit (dashed red; kfit = 0.14 h Mpc −1), higher-derivative contributions to the bispectra (dotted red; kfit = 0.12 h Mpc −1), and both higher-derivative biases and the leading one-loop contributions (solid red; kfit = 0.15 h Mpc −1). We argue based on these fits that higher-derivative biases are the leading correction to the tree-level bispectra for very massive tracers.« less

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