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 »
- Authors:
-
- Stony Brook Univ., NY (United States). C.N. Yang Institute for Theoretical Physics
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- 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)
- OSTI Identifier:
- 1376138
- Report Number(s):
- BNL-114076-2017-JA
Journal ID: ISSN 1475-7516
- Grant/Contract Number:
- SC0012704
- Resource Type:
- 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. https://doi.org/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. https://doi.org/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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Works referenced in this record:
The Effect of Primordial Non-Gaussianity on Halo Bias
journal, March 2008
- Matarrese, Sabino; Verde, Licia
- The Astrophysical Journal, Vol. 677, Issue 2
The large-scale quasar-Lyman α forest cross-correlation from BOSS
journal, May 2013
- Font-Ribera, Andreu; Arnau, Eduard; Miralda-Escudé, Jordi
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 05
Towards understanding the structure of voids in the cosmic web
text, January 2011
- Einasto, J.; Suhhonenko, I.; Hütsi, G.
- arXiv
Inverted initial conditions: Exploring the growth of cosmic structure and voids
journal, May 2016
- Pontzen, Andrew; Slosar, Anže; Roth, Nina
- Physical Review D, Vol. 93, Issue 10
Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure
text, January 2013
- Peloso, Marco; Pietroni, Massimo
- arXiv
Controlled experiments in cosmological gravitational clustering
journal, June 1993
- Melott, Adrian L.; Shandarin, Sergei F.
- The Astrophysical Journal, Vol. 410
Constraints on ionising photon production from the large-scale Lyman-alpha forest
text, January 2014
- Pontzen, Andrew; Bird, Simeon; Peiris, Hiranya
- arXiv
Separate universes beyond general relativity
journal, February 2017
- Hu, Wayne; Joyce, Austin
- Physical Review D, Vol. 95, Issue 4
Gravitational Lensing as Signal and Noise in Lyman-alpha Forest Measurements
text, January 2010
- LoVerde, Marilena; Marnerides, Stefanos; Hui, Lam
- arXiv
Primordial non-Gaussianity in the bispectrum of the halo density field
journal, April 2011
- Baldauf, Tobias; Seljak, Uroš; Senatore, Leonardo
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 04
Galaxy bispectrum, primordial non-Gaussianity and redshift space distortions
journal, June 2016
- Tellarini, Matteo; Ross, Ashley J.; Tasinato, Gianmassimo
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 06
Power spectrum super-sample covariance
journal, June 2013
- Takada, Masahiro; Hu, Wayne
- Physical Review D, Vol. 87, Issue 12
Initial Conditions to Cosmological N ‐Body Simulations, or, How to Run an Ensemble of Simulations
journal, December 2005
- Sirko, Edwin
- The Astrophysical Journal, Vol. 634, Issue 2
Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
journal, August 2007
- Eisenstein, Daniel J.; Seo, Hee‐Jong; Sirko, Edwin
- The Astrophysical Journal, Vol. 664, Issue 2
The cosmological simulation code gadget-2
journal, December 2005
- Springel, Volker
- Monthly Notices of the Royal Astronomical Society, Vol. 364, Issue 4
Initial Conditions to Cosmological N ‐Body Simulations, or, How to Run an Ensemble of Simulations
journal, December 2005
- Sirko, Edwin
- The Astrophysical Journal, Vol. 634, Issue 2
Imprints of primordial non-Gaussianities on large-scale structure: Scale-dependent bias and abundance of virialized objects
journal, June 2008
- Dalal, Neal; Doré, Olivier; Huterer, Dragan
- Physical Review D, Vol. 77, Issue 12
Position-dependent correlation function from the SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 10 CMASS sample
journal, September 2015
- Chiang, Chi-Ting; Wagner, Christian; Sánchez, Ariel G.
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 09
Towards understanding the structure of voids in the cosmic web
journal, October 2011
- Einasto, J.; Suhhonenko, I.; Hütsi, G.
- Astronomy & Astrophysics, Vol. 534
Scale-dependent bias in the baryonic-acoustic-oscillation-scale intergalactic neutral hydrogen
journal, April 2014
- Pontzen, Andrew
- Physical Review D, Vol. 89, Issue 8
Separating the Universe into real and fake energy densities
journal, July 2016
- Hu, Wayne; Chiang, Chi-Ting; Li, Yin
- Physical Review D, Vol. 94, Issue 2
Implementing the dc mode in Cosmological Simulations with Supercomoving Variables
journal, June 2011
- Gnedin, Nickolay Y.; Kravtsov, Andrey V.; Rudd, Douglas H.
- The Astrophysical Journal Supplement Series, Vol. 194, Issue 2
Single-Field Consistency Relations of Large Scale Structure. Part II: Resummation and Redshift Space
text, January 2013
- Creminelli, Paolo; Gleyzes, Jérôme; Simonović, Marko
- arXiv
First detection of cosmic microwave background lensing and Lyman- forest bispectrum
journal, November 2016
- Doux, Cyrille; Schaan, Emmanuel; Aubourg, Eric
- Physical Review D, Vol. 94, Issue 10
Constraints on local primordial non-Gaussianity from large scale structure
journal, August 2008
- Slosar, Anže; Hirata, Christopher; Seljak, Uroš
- Journal of Cosmology and Astroparticle Physics, Vol. 2008, Issue 08
The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
text, January 2007
- Sefusatti, Emiliano; Komatsu, Eiichiro
- arXiv
Large-scale tidal effect on redshift-space power spectrum in a finite-volume survey
journal, April 2017
- Akitsu, Kazuyuki; Takada, Masahiro; Li, Yin
- Physical Review D, Vol. 95, Issue 8
Radiative Transfer in a Clumpy Universe. II. The Ultraviolet Extragalactic Background
journal, April 1996
- Haardt, Francesco; Madau, Piero
- The Astrophysical Journal, Vol. 461
Large-scale tides in general relativity
journal, February 2017
- Ip, Hiu Yan; Schmidt, Fabian
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 02
Karhunen‐Loeve Eigenvalue Problems in Cosmology: How Should We Tackle Large Data Sets?
journal, May 1997
- Tegmark, Max; Taylor, Andy N.; Heavens, Alan F.
- The Astrophysical Journal, Vol. 480, Issue 1
Bispectrum of galaxies from high-redshift galaxy surveys: Primordial non-Gaussianity and nonlinear galaxy bias
journal, October 2007
- Sefusatti, Emiliano; Komatsu, Eiichiro
- Physical Review D, Vol. 76, Issue 8
Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure
journal, May 2013
- Peloso, Marco; Pietroni, Massimo
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 05
Nonlinear Evolution of the Bispectrum of Cosmological Perturbations
journal, April 1998
- Scoccimarro, Roman; Colombi, Stephane; Fry, J. N.
- The Astrophysical Journal, Vol. 496, Issue 2
Primordial fluctuations and non-linear structure
journal, November 1991
- Little, Blane; Weinberg, David H.; Park, Changbom
- Monthly Notices of the Royal Astronomical Society, Vol. 253, Issue 2
First Detection of Cosmic Microwave Background Lensing and Lyman-α Forest Bispectrum
text, January 2016
- Doux, Cyrille; Schaan, Emmanuel; Aubourg, Eric
- arXiv
Single-field consistency relations of large scale structure
journal, December 2013
- Creminelli, Paolo; Noreña, Jorge; Simonović, Marko
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 12
FAST GENERATION OF ENSEMBLES OF COSMOLOGICAL N -BODY SIMULATIONS VIA MODE RESAMPLING
journal, July 2011
- Schneider, Michael D.; Cole, Shaun; Frenk, Carlos S.
- The Astrophysical Journal, Vol. 737, Issue 1
Super-sample signal
journal, November 2014
- Li, Yin; Hu, Wayne; Takada, Masahiro
- Physical Review D, Vol. 90, Issue 10
Quintessential scale dependence from separate universe simulations
journal, December 2016
- Chiang, Chi-Ting; Li, Yin; Hu, Wayne
- Physical Review D, Vol. 94, Issue 12
Primordial Non-Gaussianity in the Forest: 3D Bispectrum of Lyman- Flux Spectra along Multiple Lines of Sight
journal, September 2012
- Hazra, Dhiraj Kumar; Guha Sarkar, Tapomoy
- Physical Review Letters, Vol. 109, Issue 12
On separate universes
journal, October 2015
- Dai, Liang; Pajer, Enrico; Schmidt, Fabian
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 10
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
- Padmanabhan, Nikhil; Xu, Xiaoying; Eisenstein, Daniel J.
- Monthly Notices of the Royal Astronomical Society, Vol. 427, Issue 3
The angle-averaged squeezed limit of nonlinear matter N -point functions
journal, August 2015
- Wagner, Christian; Schmidt, Fabian; Chiang, Chi-Ting
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 08
Origin of the cosmic network in : Nature vs nurture
journal, May 2010
- Shandarin, Sergei; Habib, Salman; Heitmann, Katrin
- Physical Review D, Vol. 81, Issue 10
Position-dependent power spectrum of the large-scale structure: a novel method to measure the squeezed-limit bispectrum
journal, May 2014
- Chiang, Chi-Ting; Wagner, Christian; Schmidt, Fabian
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 05
Super-sample covariance in simulations
journal, April 2014
- Li, Yin; Hu, Wayne; Takada, Masahiro
- Physical Review D, Vol. 89, Issue 8
CONSTRAINTS ON IONIZING PHOTON PRODUCTION FROM THE LARGE-SCALE Lyα FOREST
journal, August 2014
- Pontzen, Andrew; Bird, Simeon; Peiris, Hiranya
- The Astrophysical Journal, Vol. 792, Issue 2
Separate universe consistency relation and calibration of halo bias
journal, March 2016
- Li, Yin; Hu, Wayne; Takada, Masahiro
- Physical Review D, Vol. 93, Issue 6
Acoustic signatures in the primary microwave background bispectrum
journal, February 2001
- Komatsu, Eiichiro; Spergel, David N.
- Physical Review D, Vol. 63, Issue 6
Precision measurement of the local bias of dark matter halos
journal, February 2016
- Lazeyras, Titouan; Wagner, Christian; Baldauf, Tobias
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 02
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
- McDonald, Patrick
- The Astrophysical Journal, Vol. 585, Issue 1
Towards physics responsible for large-scale Lyman-α forest bias parameters
journal, March 2016
- Cieplak, Agnieszka M.; Slosar, Anže
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 03
Clustering in real space and in redshift space
journal, July 1987
- Kaiser, Nick
- Monthly Notices of the Royal Astronomical Society, Vol. 227, Issue 1
Perturbation Theory Reloaded. ii. Nonlinear Bias, Baryon Acoustic Oscillations, and Millennium Simulation in real Space
journal, January 2009
- Jeong, Donghui; Komatsu, Eiichiro
- The Astrophysical Journal, Vol. 691, Issue 1
Separate universe simulations
journal, December 2014
- Wagner, Christian; Schmidt, Fabian; Chiang, Chi-Ting
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 448, Issue 1
The non-linear power spectrum of the Lyman alpha forest
journal, December 2015
- Arinyo-i-Prats, Andreu; Miralda-Escudé, Jordi; Viel, Matteo
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 12
Dark energy and curvature from a future baryonic acoustic oscillation survey using the Lyman- forest
journal, September 2007
- McDonald, Patrick; Eisenstein, Daniel J.
- Physical Review D, Vol. 76, Issue 6
Gravitational lensing as signal and noise in Lyman- forest measurements
journal, November 2010
- LoVerde, Marilena; Marnerides, Stefanos; Hui, Lam
- Physical Review D, Vol. 82, Issue 10
Works referencing / citing this record:
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journal, July 2019
- Barreira, Alexandre; Nelson, Dylan; Pillepich, Annalisa
- Monthly Notices of the Royal Astronomical Society, Vol. 488, Issue 2
Responses in large-scale structure
journal, June 2017
- Barreira, Alexandre; Schmidt, Fabian
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 06
The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe
journal, August 2019
- Biagetti, Matteo
- Galaxies, Vol. 7, Issue 3
Separate Universe Simulations with IllustrisTNG: baryonic effects on power spectrum responses and higher-order statistics
text, January 2019
- Barreira, Alexandre; Nelson, Dylan; Pillepich, Annalisa
- arXiv
Scale-dependent bias and bispectrum in neutrino separate universe simulations
journal, June 2018
- Chiang, Chi-Ting; Hu, Wayne; Li, Yin
- Physical Review D, Vol. 97, Issue 12
Scale-dependent bias and bispectrum in neutrino separate universe simulations
text, January 2017
- Chiang, Chi-Ting; Hu, Wayne; Li, Yin
- arXiv