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

Journal Article · · Journal of Cosmology and Astroparticle Physics
 [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
+ Show Author Affiliations

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.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0012704
OSTI ID:
1376138
Report Number(s):
BNL-114076-2017-JA
Journal Information:
Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 06; ISSN 1475-7516
Publisher:
Institute of Physics (IOP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

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Cited By (6)

Separate Universe simulations with IllustrisTNG: baryonic effects on power spectrum responses and higher-order statistics journal July 2019
Responses in large-scale structure journal June 2017
The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe journal August 2019
Separate Universe Simulations with IllustrisTNG: baryonic effects on power spectrum responses and higher-order statistics text January 2019
Scale-dependent bias and bispectrum in neutrino separate universe simulations journal June 2018
Scale-dependent bias and bispectrum in neutrino separate universe simulations text January 2017

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Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
Lyman alpha forest
cosmological parameters from LSS
cosmological simulations