An analytically tractable marked power spectrum

Ebina, Haruki; White, Martin

doi:10.1088/1475-7516/2025/01/150

Title: An analytically tractable marked power spectrum

Journal Article · 31 January 2025 · Journal of Cosmology and Astroparticle Physics

DOI: https://doi.org/10.1088/1475-7516/2025/01/150 · OSTI ID:2544996

^[1];

^[1]

University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

The increasing precision of cosmology data in the modern era is calling for methods to allow the extraction of non-Gaussian information using tools beyond two-point statistics. The marked power spectrum has the potential to extract beyond two-point information in a computationally efficient way while using much of the infrastructure already available for the power spectrum. In this work we explore the marked power spectrum from an analytical perspective. In particular, we explore a low-order polynomial for the mark that allows us to better control the theoretical uncertainties and we show that with minimal new degrees of freedom the analytical results match measurements from N-body simulations for both the matter field and biased tracers in redshift space. Finally, we show that even within the limited forms of mark that we consider, there are degeneracies that can be broken by inclusion of the marked auto-spectrum or the cross-spectrum with the unmarked field. I n conclusion, we discuss future theoretical developments that would enable us to apply this approach to survey data.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 2544996

Journal Information:: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 01 Vol. 2025; ISSN 1475-7516

Publisher:: Institute of Physics (IOP)Copyright Statement

Country of Publication:: United States

Language:: English

References (63)

On Correlations of Marked Point Processes Stoyan, Dietrich Mathematische Nachrichten, Vol. 116, Issue 1 https://doi.org/10.1002/mana.19841160115	journal	January 1984
Mark Correlations: Relating Physical Properties to Spatial Distributions Beisbart, Claus; Kerscher, Martin; Mecke, Klaus Morphology of Condensed Matter https://doi.org/10.1007/3-540-45782-8_15	book	January 2002
Effective Field Theory for Large-Scale Structure Ivanov, Mikhail M. Handbook of Quantum Gravity https://doi.org/10.1007/978-981-19-3079-9_5-1	book	January 2023
Large-scale structure of the Universe and cosmological perturbation theory Bernardeau, F.; Colombi, S.; Gaztañaga, E. Physics Reports, Vol. 367, Issue 1-3 https://doi.org/10.1016/S0370-1573(02)00135-7	journal	September 2002
Planck 2018 results: VI. Cosmological parameters Aghanim, N.; Akrami, Y.; Ashdown, M. Astronomy & Astrophysics, Vol. 641, A6 https://doi.org/10.1051/0004-6361/201833910	journal	September 2020
Statistical analysis of catalogs of extragalactic objects. V - Three-point correlation function for the galaxy distribution in the Zwicky catalog Peebles, P. J. E.; Groth, E. J. The Astrophysical Journal, Vol. 196 https://doi.org/10.1086/153390	journal	February 1975
Statistical analysis of catalogs of extragalactic objects. VII - Two- and three-point correlation functions for the high-resolution Shane-Wirtanen catalog of galaxies Groth, E. J.; Peebles, P. J. E. The Astrophysical Journal, Vol. 217 https://doi.org/10.1086/155588	journal	October 1977
Transform analysis of the high-resolution Shane-Wirtanen Catalog - The power spectrum and the bispectrum Fry, J. N.; Seldner, M. The Astrophysical Journal, Vol. 259 https://doi.org/10.1086/160184	journal	August 1982
The Observed Probability Distribution Function, Power Spectrum, and Correlation Function of the Transmitted Flux in the Lyα Forest McDonald, Patrick; Miralda‐Escude, Jordi; Rauch, Michael The Astrophysical Journal, Vol. 543, Issue 1 https://doi.org/10.1086/317079	journal	November 2000
Toward a Measurement of the Cosmological Geometry at z ∼ 2: Predicting Lyα Forest Correlation in Three Dimensions and the Potential of Future Data Sets McDonald, Patrick The Astrophysical Journal, Vol. 585, Issue 1 https://doi.org/10.1086/345945	journal	March 2003
RADIATIVE TRANSFER MODELING OF Lyα EMITTERS. II. NEW EFFECTS ON GALAXY CLUSTERING Zheng, Zheng; Cen, Renyue; Trac, Hy The Astrophysical Journal, Vol. 726, Issue 1 https://doi.org/10.1088/0004-637X/726/1/38	journal	December 2010
The Lyman-α forest in three dimensions: measurements of large scale flux correlations from BOSS 1st-year data Slosar, Anže; Font-Ribera, Andreu; Pieri, Matthew M. Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 09 https://doi.org/10.1088/1475-7516/2011/09/001	journal	September 2011
Bias, redshift space distortions and primordial nongaussianity of nonlinear transformations: application to Ly-α forest Seljak, Uroš Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 03 https://doi.org/10.1088/1475-7516/2012/03/004	journal	March 2012
Towards physics responsible for large-scale Lyman-α forest bias parameters Cieplak, Agnieszka M.; Slosar, Anže Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 03 https://doi.org/10.1088/1475-7516/2016/03/016	journal	March 2016
A marked correlation function for constraining modified gravity models White, Martin Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 11 https://doi.org/10.1088/1475-7516/2016/11/057	journal	November 2016
Cosmological parameters from the BOSS galaxy power spectrum Ivanov, Mikhail M.; Simonović, Marko; Zaldarriaga, Matias Journal of Cosmology and Astroparticle Physics, Vol. 2020, Issue 05 https://doi.org/10.1088/1475-7516/2020/05/042	journal	May 2020
Modeling the marked spectrum of matter and biased tracers in real- and redshift-space Philcox, Oliver H. E.; Aviles, Alejandro; Massara, Elena Journal of Cosmology and Astroparticle Physics, Vol. 2021, Issue 03 https://doi.org/10.1088/1475-7516/2021/03/038	journal	March 2021
The effective field theory and perturbative analysis for log-density fields Rubira, Henrique; Voivodic, Rodrigo Journal of Cosmology and Astroparticle Physics, Vol. 2021, Issue 03 https://doi.org/10.1088/1475-7516/2021/03/070	journal	March 2021
Constraining M _ν with the bispectrum. Part II. The information content of the galaxy bispectrum monopole Hahn, ChangHoon; Villaescusa-Navarro, Francisco Journal of Cosmology and Astroparticle Physics, Vol. 2021, Issue 04 https://doi.org/10.1088/1475-7516/2021/04/029	journal	April 2021
The Lyα forest flux correlation function: a perturbation theory perspective Chen, Shi-Fan; Vlah, Zvonimir; White, Martin Journal of Cosmology and Astroparticle Physics, Vol. 2021, Issue 05 https://doi.org/10.1088/1475-7516/2021/05/053	journal	May 2021
The effective field theory of large-scale structure and multi-tracer II: redshift space and realistic tracers Mergulhão, Thiago; Rubira, Henrique; Voivodic, Rodrigo Journal of Cosmology and Astroparticle Physics, Vol. 2024, Issue 01 https://doi.org/10.1088/1475-7516/2024/01/008	journal	January 2024
Analysis of BOSS galaxy data with weighted skew-spectra Chen, Shu-Fan; Chakraborty, Priyesh; Dvorkin, Cora Journal of Cosmology and Astroparticle Physics, Vol. 2024, Issue 05 https://doi.org/10.1088/1475-7516/2024/05/011	journal	May 2024
Cosmology before noon with multiple galaxy populations Ebina, Haruki; White, Martin Journal of Cosmology and Astroparticle Physics, Vol. 2024, Issue 06 https://doi.org/10.1088/1475-7516/2024/06/052	journal	June 2024
The one-loop bispectrum of galaxies in redshift space from the Effective Field Theory of Large-Scale Structure D'Amico, Guido; Donath, Yaniv; Lewandowski, Matthew Journal of Cosmology and Astroparticle Physics, Vol. 2024, Issue 07 https://doi.org/10.1088/1475-7516/2024/07/041	journal	July 2024
Cosmological constraints from weak lensing scattering transform using HSC Y1 data Cheng 程, Sihao 思浩; Marques, Gabriela A.; Grandón, Daniela Journal of Cosmology and Astroparticle Physics, Vol. 2025, Issue 01 https://doi.org/10.1088/1475-7516/2025/01/006	journal	January 2025
A new approach to observational cosmology using the scattering transform Cheng (程思浩), Sihao; Ting (丁源森), Yuan-Sen; Ménard, Brice Monthly Notices of the Royal Astronomical Society, Vol. 499, Issue 4 https://doi.org/10.1093/mnras/staa3165	journal	October 2020
Nearest neighbour distributions: New statistical measures for cosmological clustering Banerjee, Arka; Abel, Tom Monthly Notices of the Royal Astronomical Society, Vol. 500, Issue 4 https://doi.org/10.1093/mnras/staa3604	journal	November 2020
Redshift-space distortions with split densities Paillas, Enrique; Cai, Yan-Chuan; Padilla, Nelson Monthly Notices of the Royal Astronomical Society, Vol. 505, Issue 4 https://doi.org/10.1093/mnras/stab1654	journal	June 2021
The abacus cosmological N -body code Garrison, Lehman H.; Eisenstein, Daniel J.; Ferrer, Douglas Monthly Notices of the Royal Astronomical Society, Vol. 508, Issue 1 https://doi.org/10.1093/mnras/stab2482	journal	September 2021
AbacusSummit : a massive set of high-accuracy, high-resolution N -body simulations Maksimova, Nina A.; Garrison, Lehman H.; Eisenstein, Daniel J. Monthly Notices of the Royal Astronomical Society, Vol. 508, Issue 3 https://doi.org/10.1093/mnras/stab2484	journal	September 2021
AbacusHOD : a highly efficient extended multitracer HOD framework and its application to BOSS and eBOSS data Yuan, Sihan; Garrison, Lehman H.; Hadzhiyska, Boryana Monthly Notices of the Royal Astronomical Society, Vol. 510, Issue 3 https://doi.org/10.1093/mnras/stab3355	journal	November 2021
Measurement of parity-odd modes in the large-scale 4-point correlation function of Sloan Digital Sky Survey Baryon Oscillation Spectroscopic Survey twelfth data release CMASS and LOWZ galaxies Hou, Jiamin; Slepian, Zachary; Cahn, Robert N. Monthly Notices of the Royal Astronomical Society, Vol. 522, Issue 4 https://doi.org/10.1093/mnras/stad1062	journal	May 2023
Cosmological constraints from density-split clustering in the BOSS CMASS galaxy sample Paillas, Enrique; Cuesta-Lazaro, Carolina; Percival, Will J. Monthly Notices of the Royal Astronomical Society, Vol. 531, Issue 1 https://doi.org/10.1093/mnras/stae1118	journal	April 2024
The 3D Lyman-α forest power spectrum from eBOSS DR16 de Belsunce, Roger; Philcox, Oliver H. E.; Iršič, Vid Monthly Notices of the Royal Astronomical Society, Vol. 533, Issue 3 https://doi.org/10.1093/mnras/stae2035	journal	August 2024
Optimizing marked power spectra for cosmology Cowell, Jessica A.; Alonso, David; Liu, Jia Monthly Notices of the Royal Astronomical Society, Vol. 535, Issue 4 https://doi.org/10.1093/mnras/stae2492	journal	November 2024
A new test of gravity – I. Introduction to the method Armijo, Joaquin; Baugh, Carlton M.; Norberg, Peder Monthly Notices of the Royal Astronomical Society, Vol. 529, Issue 3 https://doi.org/10.1093/mnras/stae719	journal	March 2024
Weak lensing by galaxy troughs in DES Science Verification data Gruen, D.; Friedrich, O.; Amara, A. Monthly Notices of the Royal Astronomical Society, Vol. 455, Issue 3 https://doi.org/10.1093/mnras/stv2506	journal	November 2015
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies Gil-Marín, Héctor; Percival, Will J.; Brownstein, Joel R. Monthly Notices of the Royal Astronomical Society, Vol. 460, Issue 4 https://doi.org/10.1093/mnras/stw1096	journal	May 2016
Testing modified gravity using a marked correlation function Armijo, Joaquín; Cai, Yan-Chuan; Padilla, Nelson Monthly Notices of the Royal Astronomical Society, Vol. 478, Issue 3 https://doi.org/10.1093/mnras/sty1335	journal	May 2018
Marked clustering statistics in f(R) gravity cosmologies Hernández-Aguayo, César; Baugh, Carlton M.; Li, Baojiu Monthly Notices of the Royal Astronomical Society, Vol. 479, Issue 4 https://doi.org/10.1093/mnras/sty1822	journal	July 2018
Correlations in the three-dimensional Lyman-alpha forest contaminated by high column density absorbers Rogers, Keir K.; Bird, Simeon; Peiris, Hiranya V. Monthly Notices of the Royal Astronomical Society, Vol. 476, Issue 3 https://doi.org/10.1093/mnras/sty603	journal	March 2018
Measurement of marked correlation functions in SDSS-III Baryon Oscillation Spectroscopic Survey using LOWZ galaxies in Data Release 12 Satpathy, Siddharth; A. C. Croft, Rupert; Ho, Shirley Monthly Notices of the Royal Astronomical Society, Vol. 484, Issue 2 https://doi.org/10.1093/mnras/stz009	journal	January 2019
What does the marked power spectrum measure? Insights from perturbation theory Philcox, Oliver H. E.; Massara, Elena; Spergel, David N. Physical Review D, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevD.102.043516	journal	August 2020
Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological implications from two decades of spectroscopic surveys at the Apache Point Observatory Alam, Shadab; Aubert, Marie; Avila, Santiago Physical Review D, Vol. 103, Issue 8 https://doi.org/10.1103/PhysRevD.103.083533	journal	April 2021
Towards an optimal estimation of cosmological parameters with the wavelet scattering transform Valogiannis, Georgios; Dvorkin, Cora Physical Review D, Vol. 105, Issue 10 https://doi.org/10.1103/PhysRevD.105.103534	journal	May 2022
Cosmology with the redshift-space galaxy bispectrum monopole at one-loop order Philcox, Oliver H. E.; Ivanov, Mikhail M.; Cabass, Giovanni Physical Review D, Vol. 106, Issue 4 https://doi.org/10.1103/PhysRevD.106.043530	journal	August 2022
Probing parity violation with the four-point correlation function of BOSS galaxies Philcox, Oliver H. E. Physical Review D, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRevD.106.063501	journal	September 2022
Cosmology with the galaxy bispectrum multipoles: Optimal estimation and application to BOSS data Ivanov, Mikhail M.; Philcox, Oliver H. E.; Cabass, Giovanni Physical Review D, Vol. 107, Issue 8 https://doi.org/10.1103/PhysRevD.107.083515	journal	April 2023
Optimizing the evolution of perturbations in the ΛCDM universe Choustikov, Nicholas; Vlah, Zvonimir; Challinor, Anthony Physical Review D, Vol. 108, Issue 2 https://doi.org/10.1103/PhysRevD.108.023529	journal	July 2023
Lyman alpha forest power spectrum in effective field theory Ivanov, Mikhail M. Physical Review D, Vol. 109, Issue 2 https://doi.org/10.1103/PhysRevD.109.023507	journal	January 2024
Cosmological constraints from the redshift-space galaxy skew spectra Hou, Jiamin; Dizgah, Azadeh Moradinezhad; Hahn, ChangHoon Physical Review D, Vol. 109, Issue 10 https://doi.org/10.1103/PhysRevD.109.103528	journal	May 2024
Angular trispectrum of the cosmic microwave background Hu, Wayne Physical Review D, Vol. 64, Issue 8 https://doi.org/10.1103/PhysRevD.64.083005	journal	September 2001
Near optimal bispectrum estimators for large-scale structure Schmittfull, Marcel; Baldauf, Tobias; Seljak, Uroš Physical Review D, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevD.91.043530	journal	February 2015
Linear redshift space distortions for cosmic voids based on galaxies in redshift space Chuang, Chia-Hsun; Kitaura, Francisco-Shu; Liang, Yu Physical Review D, Vol. 95, Issue 6 https://doi.org/10.1103/PhysRevD.95.063528	journal	March 2017
Density split statistics: Joint model of counts and lensing in cells Friedrich, O.; Gruen, D.; DeRose, J. Physical Review D, Vol. 98, Issue 2 https://doi.org/10.1103/PhysRevD.98.023508	journal	July 2018
Clipping the Cosmos: The Bias and Bispectrum of Large Scale Structure Simpson, Fergus; James, J. Berian; Heavens, Alan F. Physical Review Letters, Vol. 107, Issue 27 https://doi.org/10.1103/PhysRevLett.107.271301	journal	December 2011
Using the Marked Power Spectrum to Detect the Signature of Neutrinos in Large-Scale Structure Massara, Elena; Villaescusa-Navarro, Francisco; Ho, Shirley Physical Review Letters, Vol. 126, Issue 1 https://doi.org/10.1103/PhysRevLett.126.011301	journal	January 2021
The luminosity-weighted or ‘marked’ correlation function Skibba, Ramin; Sheth, Ravi K.; Connolly, Andrew J. Monthly Notices of the Royal Astronomical Society, Vol. 369, Issue 1 https://doi.org/10.1111/j.1365-2966.2006.10196.x	journal	May 2006
Breaking halo occupation degeneracies with marked statistics White, Martin; Padmanabhan, Nikhil Monthly Notices of the Royal Astronomical Society, Vol. 395, Issue 4 https://doi.org/10.1111/j.1365-2966.2009.14732.x	journal	June 2009
On estimating Lyα forest correlations between multiple sightlines: Lyα forest correlations between sightlines McQuinn, Matthew; White, Martin Monthly Notices of the Royal Astronomical Society, Vol. 415, Issue 3 https://doi.org/10.1111/j.1365-2966.2011.18855.x	journal	May 2011
Cosmological constraints from the capture of non-Gaussianity in weak lensing data: Cosmological constraints in weak lensing data Pires, Sandrine; Leonard, Adrienne; Starck, Jean-Luc Monthly Notices of the Royal Astronomical Society, Vol. 423, Issue 1 https://doi.org/10.1111/j.1365-2966.2012.20940.x	journal	April 2012
Fast Projected Bispectra: the filter-square approach Harscouet, Lea; Cowell, Jessica A.; Ereza, Julia The Open Journal of Astrophysics, Vol. 8 https://doi.org/10.33232/001c.128309	journal	January 2025
The Abacus Cosmos: A Suite of Cosmological N -body Simulations Garrison, Lehman H.; Eisenstein, Daniel J.; Ferrer, Douglas The Astrophysical Journal Supplement Series, Vol. 236, Issue 2 https://doi.org/10.3847/1538-4365/aabfd3	journal	June 2018

Similar Records

CMB power spectrum parameter degeneracies in the era of precision cosmology

Journal Article · 2012 · Journal of Cosmology and Astroparticle Physics · OSTI ID:22279778

Howlett, Cullan; Lewis, Antony; Hall, Alex; +1 more

First constraints from marked angular power spectra with Subaru Hyper Suprime-Cam Survey First-Year Data

Journal Article · 2026 · Mon.Not.Roy.Astron.Soc. · OSTI ID:2572645

Cowell, Jessica A.; Armijo, Joaquin; Thiele, Leander; +7 more

Squared temperature-temperature power spectrum as a probe of the CMB bispectrum

Journal Article · 2001 · Physical Review D · OSTI ID:40230663

Cooray, Asantha

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS

Title: An analytically tractable marked power spectrum

Citation Formats

References (63)

Similar Records

Related Subjects