Constraining primordial non-Gaussianity from the large scale structure two-point and three-point correlation functions

ABSTRACT Surveys of cosmological large-scale structure (LSS) are sensitive to the presence of local primordial non-Gaussianity (PNG), and may be used to constrain models of inflation. Local PNG, characterized by $f_{\mathrm{NL}}$, the amplitude of the quadratic correction to the potential of a Gaussian random field, is traditionally measured from LSS two-point and three-point clustering via the power spectrum and bi-spectrum. We propose a framework to measure $f_{\mathrm{NL}}$ using the configuration space two-point correlation function (2pcf) monopole and three-point correlation function (3pcf) monopole of survey tracers. Our model estimates the effect of the scale-dependent bias induced by the presence of PNG on the 2pcf and 3pcf from the clustering of simulated dark matter haloes. We describe how this effect may be scaled to an arbitrary tracer of the cosmological matter density. The 2pcf and 3pcf of this tracer are measured to constrain the value of $f_{\mathrm{NL}}$. In LSS surveys, the effect of imaging systematics on two-point statistics is often degenerate with the PNG signal. Our proposed model employs three-point statistics primarily to break this degeneracy. Using simulations of luminous red galaxies observed by the Dark Energy Spectroscopic Instrument (DESI), we demonstrate the accuracy and constraining power of our method. Our forecast indicates the ability to constrain $f_{\mathrm{NL}}$ to a precision of $\sigma _{f_{\mathrm{NL}}} \approx 22$ with one year of DESI survey data, as well as the ability to constrain the imaging systematic weights in situ.

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Publication Details

Journal
Monthly Notices of the Royal Astronomical Society
Published
2025-09-05
DOI
https://doi.org/10.1093/mnras/staf1411
Citations
1
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
1.15

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article

Constraining primordial non-Gaussianity from the large scale structure two-point and three-point correlation functions

E. Chaussidon, A. Muñoz-Gutiérrez, G. Niz, R. Demina et al.
1 citations
Monthly Notices of the Royal Astronomical Society
Cosmology and Gravitation Theories
1.15
article

Constraining primordial non-Gaussianity from the large scale structure two-point and three-point correlation functions

E. Chaussidon, A. Muñoz-Gutiérrez, G. Niz, R. Demina, Eva-Maria Mueller, N. Palanque‐Delabrouille, Violeta González-Pérez, Santiago Avila, Gregory Tarlé, A. G. Adame, Robert Blum, Laurent Le Guillou, B A Weaver, David J. Schlegel, Martin Landriau, Jundan Nie, Shaun Cole, K Honscheid, Marc Manera, Sihan Yuan, J. Aguilar, Satya Gontcho A Gontcho, Zachery Brown, ENRIQUE GAZTAÑAGA, Edward F. Schlafly, Cullan Howlett, K. Fanning, Jeffrey H. Silber, J. E. Forero-Romero, Steven P. Ahlen, Theodore S. Kisner, Biprateep Dey, Mehdi Rezaie, R. Kehoe, Claire Poppett, Zhimin Zhou, M. Vargas-Magaña, Hu Zou, T. Claybaugh, Graziano Rossi, P. Doel, D Brooks, E Sanchez, J García-Bellido, M Schubnell, B. Levi, R Miquel, Adam D. Myers, S. Juneau, D. Sprayberry
article en
1 citations

Abstract

ABSTRACT Surveys of cosmological large-scale structure (LSS) are sensitive to the presence of local primordial non-Gaussianity (PNG), and may be used to constrain models of inflation. Local PNG, characterized by $f_{\mathrm{NL}}$, the amplitude of the quadratic correction to the potential of a Gaussian random field, is traditionally measured from LSS two-point and three-point clustering via the power spectrum and bi-spectrum. We propose a framework to measure $f_{\mathrm{NL}}$ using the configuration space two-point correlation function (2pcf) monopole and three-point correlation function (3pcf) monopole of survey tracers. Our model estimates the effect of the scale-dependent bias induced by the presence of PNG on the 2pcf and 3pcf from the clustering of simulated dark matter haloes. We describe how this effect may be scaled to an arbitrary tracer of the cosmological matter density. The 2pcf and 3pcf of this tracer are measured to constrain the value of $f_{\mathrm{NL}}$. In LSS surveys, the effect of imaging systematics on two-point statistics is often degenerate with the PNG signal. Our proposed model employs three-point statistics primarily to break this degeneracy. Using simulations of luminous red galaxies observed by the Dark Energy Spectroscopic Instrument (DESI), we demonstrate the accuracy and constraining power of our method. Our forecast indicates the ability to constrain $f_{\mathrm{NL}}$ to a precision of $\sigma _{f_{\mathrm{NL}}} \approx 22$ with one year of DESI survey data, as well as the ability to constrain the imaging systematic weights in situ.

Monthly Notices of the Royal Astronomical SocietyVol. 543(3)
Boston University (US), Institució Catalana de Recerca i Estudis Avançats (ES), Universidad Complutense de Madrid (ES), Universitat Autònoma de Barcelona (ES), University of Wyoming (US), Centre National de la Recherche Scientifique (FR), Space Telescope Science Institute (US), Universidad de Guanajuato (MX), Institute of Space Sciences (ES), Lawrence Berkeley National Laboratory (US), Universidad de Los Andes (CO), University of Sussex (GB), The University of Queensland (AU), University of Pittsburgh (US), Southern Methodist University (US), Institute for High Energy Physics (ES), Kansas State University (US), Durham University (GB), Chinese Academy of Sciences (CN), University of Magdalena (CO), Commissariat à l'Énergie Atomique et aux Énergies Alternatives (FR), Université Paris-Saclay (FR), University of Michigan (US), SLAC National Accelerator Laboratory (US), Sejong University (KR), Sorbonne Université (FR), Institut d'Estudis Espacials de Catalunya (ES), Kavli Institute for Particle Astrophysics and Cosmology (US), Laboratoire de Physique Nucléaire et de Hautes Énergies (FR), Institute of Space Sciences (ES), Université Bourgogne Franche-Comté (FR), CEA Paris-Saclay (FR), Institut National de Physique Nucléaire et de Physique des Particules (FR), Community Science and Data Center (US), NSF NOIRLab (US), Universidad de Los Andes (BO), National Astronomical Observatories (CN), Institut de Recherche sur les Lois Fondamentales de l'Univers (FR), Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (ES), Institute of Science and Technology, University College London (GB), The Ohio State University (US), University of Rochester (US), University of Portsmouth (GB), Universidad Autónoma de Madrid (ES), Universidad Nacional Autónoma de México (MX)
National Science Foundation, U.S. Department of Energy, Gordon and Betty Moore Foundation, Consejo Nacional de Ciencia y Tecnología, Ministerio de Ciencia e Innovación, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Office of Science, Science and Technology Facilities Council, Division of Astronomical Sciences
Openalex Percentile: Top 17%
Cosmology and Gravitation Theories
1.15
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