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Title: Response approach to the squeezed-limit bispectrum: application to the correlation of quasar and Lyman-α forest power spectrum

Abstract

We present the squeezed-limit bispectrum, which is generated by nonlinear gravitational evolution as well as inflationary physics, measures the correlation of three wavenumbers, in the configuration where one wavenumber is much smaller than the other two. Since the squeezed-limit bispectrum encodes the impact of a large-scale fluctuation on the small-scale power spectrum, it can be understood as how the small-scale power spectrum ``responds'' to the large-scale fluctuation. Viewed in this way, the squeezed-limit bispectrum can be calculated using the response approach even in the cases which do not submit to perturbative treatment. To illustrate this point, we apply this approach to the cross-correlation between the large-scale quasar density field and small-scale Lyman-α forest flux power spectrum. In particular, using separate universe simulations which implement changes in the large-scale density, velocity gradient, and primordial power spectrum amplitude, we measure how the Lyman-α forest flux power spectrum responds to the local, long-wavelength quasar overdensity, and equivalently their squeezed-limit bispectrum. We perform a Fisher forecast for the ability of future experiments to constrain local non-Gaussianity using the bispectrum of quasars and the Lyman-α forest. Combining with quasar and Lyman-α forest power spectra to constrain the biases, we find that for DESI the expectedmore » 1-σ constraint is err[f NL]~60. Ability for DESI to measure f NL through this channel is limited primarily by the aliasing and instrumental noise of the Lyman-α forest flux power spectrum. Lastly, the combination of response approach and separate universe simulations provides a novel technique to explore the constraints from the squeezed-limit bispectrum between different observables.« less

Authors:
 [1];  [2];  [3];  [2]
  1. Stony Brook Univ., NY (United States). C.N. Yang Institute for Theoretical Physics
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
  3. Max Planck Society, Garching (Germany). Max Planck Inst. for Astrophysics
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1376138
Report Number(s):
BNL-114076-2017-JA
Journal ID: ISSN 1475-7516
Grant/Contract Number:  
SC0012704
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2017; Journal Issue: 06; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Lyman alpha forest; cosmological parameters from LSS; cosmological simulations

Citation Formats

Chiang, Chi-Ting, Cieplak, Agnieszka M., Schmidt, Fabian, and Slosar, Anže. Response approach to the squeezed-limit bispectrum: application to the correlation of quasar and Lyman-α forest power spectrum. United States: N. p., 2017. Web. doi:10.1088/1475-7516/2017/06/022.
Chiang, Chi-Ting, Cieplak, Agnieszka M., Schmidt, Fabian, & Slosar, Anže. Response approach to the squeezed-limit bispectrum: application to the correlation of quasar and Lyman-α forest power spectrum. United States. doi:10.1088/1475-7516/2017/06/022.
Chiang, Chi-Ting, Cieplak, Agnieszka M., Schmidt, Fabian, and Slosar, Anže. Mon . "Response approach to the squeezed-limit bispectrum: application to the correlation of quasar and Lyman-α forest power spectrum". United States. doi:10.1088/1475-7516/2017/06/022. https://www.osti.gov/servlets/purl/1376138.
@article{osti_1376138,
title = {Response approach to the squeezed-limit bispectrum: application to the correlation of quasar and Lyman-α forest power spectrum},
author = {Chiang, Chi-Ting and Cieplak, Agnieszka M. and Schmidt, Fabian and Slosar, Anže},
abstractNote = {We present the squeezed-limit bispectrum, which is generated by nonlinear gravitational evolution as well as inflationary physics, measures the correlation of three wavenumbers, in the configuration where one wavenumber is much smaller than the other two. Since the squeezed-limit bispectrum encodes the impact of a large-scale fluctuation on the small-scale power spectrum, it can be understood as how the small-scale power spectrum ``responds'' to the large-scale fluctuation. Viewed in this way, the squeezed-limit bispectrum can be calculated using the response approach even in the cases which do not submit to perturbative treatment. To illustrate this point, we apply this approach to the cross-correlation between the large-scale quasar density field and small-scale Lyman-α forest flux power spectrum. In particular, using separate universe simulations which implement changes in the large-scale density, velocity gradient, and primordial power spectrum amplitude, we measure how the Lyman-α forest flux power spectrum responds to the local, long-wavelength quasar overdensity, and equivalently their squeezed-limit bispectrum. We perform a Fisher forecast for the ability of future experiments to constrain local non-Gaussianity using the bispectrum of quasars and the Lyman-α forest. Combining with quasar and Lyman-α forest power spectra to constrain the biases, we find that for DESI the expected 1-σ constraint is err[fNL]~60. Ability for DESI to measure fNL through this channel is limited primarily by the aliasing and instrumental noise of the Lyman-α forest flux power spectrum. Lastly, the combination of response approach and separate universe simulations provides a novel technique to explore the constraints from the squeezed-limit bispectrum between different observables.},
doi = {10.1088/1475-7516/2017/06/022},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 06,
volume = 2017,
place = {United States},
year = {Mon Jun 12 00:00:00 EDT 2017},
month = {Mon Jun 12 00:00:00 EDT 2017}
}

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