Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

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) (SC-25)
Grant/Contract Number:
SC0012704
OSTI ID:
1376138
Alternate ID(s):
OSTI ID: 22676164
Report Number(s):
BNL--114076-2017-JA
Journal Information:
Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 06 Vol. 2017; ISSN 1475-7516
Publisher:
Institute of Physics (IOP)Copyright Statement
Country of Publication:
United States
Language:
English

References (57)

Initial Conditions to Cosmological N ‐Body Simulations, or, How to Run an Ensemble of Simulations journal December 2005
The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias text January 2007
Gravitational Lensing as Signal and Noise in Lyman-alpha Forest Measurements text January 2010
Towards understanding the structure of voids in the cosmic web text January 2011
Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure text January 2013
Single-Field Consistency Relations of Large Scale Structure. Part II: Resummation and Redshift Space text January 2013
Constraints on ionising photon production from the large-scale Lyman-alpha forest text January 2014
First Detection of Cosmic Microwave Background Lensing and Lyman-α Forest Bispectrum text January 2016
Towards understanding the structure of voids in the cosmic web journal October 2011
Controlled experiments in cosmological gravitational clustering journal June 1993
Radiative Transfer in a Clumpy Universe. II. The Ultraviolet Extragalactic Background journal April 1996
Karhunen‐Loeve Eigenvalue Problems in Cosmology: How Should We Tackle Large Data Sets? journal May 1997
Nonlinear Evolution of the Bispectrum of Cosmological Perturbations journal April 1998
Toward a Measurement of the Cosmological Geometry at z ∼ 2: Predicting Lyα Forest Correlation in Three Dimensions and the Potential of Future Data Sets journal March 2003
Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak journal August 2007
The Effect of Primordial Non-Gaussianity on Halo Bias journal March 2008
Perturbation Theory Reloaded. ii. Nonlinear Bias, Baryon Acoustic Oscillations, and Millennium Simulation in real Space journal January 2009
FAST GENERATION OF ENSEMBLES OF COSMOLOGICAL N -BODY SIMULATIONS VIA MODE RESAMPLING journal July 2011
Implementing the dc mode in Cosmological Simulations with Supercomoving Variables journal June 2011
Constraints on local primordial non-Gaussianity from large scale structure journal August 2008
Primordial non-Gaussianity in the bispectrum of the halo density field journal April 2011
The large-scale quasar-Lyman α forest cross-correlation from BOSS journal May 2013
Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure journal May 2013
Single-field consistency relations of large scale structure journal December 2013
Position-dependent power spectrum of the large-scale structure: a novel method to measure the squeezed-limit bispectrum journal May 2014
The angle-averaged squeezed limit of nonlinear matter N -point functions journal August 2015
Position-dependent correlation function from the SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 10 CMASS sample journal September 2015
On separate universes journal October 2015
The non-linear power spectrum of the Lyman alpha forest journal December 2015
Precision measurement of the local bias of dark matter halos journal February 2016
Towards physics responsible for large-scale Lyman-α forest bias parameters journal March 2016
Galaxy bispectrum, primordial non-Gaussianity and redshift space distortions journal June 2016
Large-scale tides in general relativity journal February 2017
CONSTRAINTS ON IONIZING PHOTON PRODUCTION FROM THE LARGE-SCALE Lyα FOREST journal August 2014
Clustering in real space and in redshift space journal July 1987
Primordial fluctuations and non-linear structure journal November 1991
Separate universe simulations journal December 2014
Acoustic signatures in the primary microwave background bispectrum journal February 2001
Dark energy and curvature from a future baryonic acoustic oscillation survey using the Lyman- α forest journal September 2007
Bispectrum of galaxies from high-redshift galaxy surveys: Primordial non-Gaussianity and nonlinear galaxy bias journal October 2007
Imprints of primordial non-Gaussianities on large-scale structure: Scale-dependent bias and abundance of virialized objects journal June 2008
Origin of the cosmic network in Λ CDM : Nature vs nurture journal May 2010
Gravitational lensing as signal and noise in Lyman- α forest measurements journal November 2010
Power spectrum super-sample covariance journal June 2013
Scale-dependent bias in the baryonic-acoustic-oscillation-scale intergalactic neutral hydrogen journal April 2014
Super-sample covariance in simulations journal April 2014
Super-sample signal journal November 2014
Separate universe consistency relation and calibration of halo bias journal March 2016
Inverted initial conditions: Exploring the growth of cosmic structure and voids journal May 2016
Separating the Universe into real and fake energy densities journal July 2016
First detection of cosmic microwave background lensing and Lyman- α forest bispectrum journal November 2016
Quintessential scale dependence from separate universe simulations journal December 2016
Separate universes beyond general relativity journal February 2017
Large-scale tidal effect on redshift-space power spectrum in a finite-volume survey journal April 2017
Primordial Non-Gaussianity in the Forest: 3D Bispectrum of Lyman- α Flux Spectra along Multiple Lines of Sight journal September 2012
The cosmological simulation code gadget-2 journal December 2005
A 2 per cent distance to z = 0.35 by reconstructing baryon acoustic oscillations – I. Methods and application to the Sloan Digital Sky Survey : A 2 per cent distance to z = 0.35 journal November 2012

Cited By (6)

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

Similar Records

Response approach to the squeezed-limit bispectrum: application to the correlation of quasar and Lyman-α forest power spectrum
Journal Article · Thu Jun 01 00:00:00 EDT 2017 · Journal of Cosmology and Astroparticle Physics · OSTI ID:22676164
First detection of cosmic microwave background lensing and Lyman-α forest bispectrum
Journal Article · Tue Nov 08 23:00:00 EST 2016 · Physical Review. D. · OSTI ID:1398395
Forecasting the Ly- α forest × CMB lensing bispectrum from ACT, SO, S4, and DESI
Journal Article · Tue Sep 16 00:00:00 EDT 2025 · Physical Review D · OSTI ID:2998760

Related Subjects

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