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Cosmology with second- and third-order shear statistics for the Dark Energy Survey: Methods and simulated analysis

Gomes, R. C. H. [University of Pennsylvania] (ORCID:0000000238005662)·Sugiyama, S. [University of Pennsylvania]·Jain, B. [University of Pennsylvania]·Jarvis, M. [University of Pennsylvania]·Anbajagane, D. [University of Chicago]·Gatti, M. [University of Chicago]·Gebauer, D. [Universitäts-Sternwarte; Max Planck Institute for Extraterrestrial Physics]·Gong, Z. [Universitäts-Sternwarte; Max Planck Institute for Extraterrestrial Physics]·Halder, A. [University of Cambridge; Jesus College; Max Planck Institute for Extraterrestrial Physics; University Observatory]·Marques, G. A. [Fermi National Accelerator Laboratory; University of Chicago]·Pandey, S. [Columbia University]·Marshall, J. L. [Texas A&M University]·Allam, S. [Fermi National Accelerator Laboratory]·Alves, O. [University of Michigan]·Andrade-Oliveira, F. [University of Zürich]·Bacon, D. [University of Portsmouth]·Blazek, J. [Northeastern University]·Bocquet, S. [University Observatory]·Brooks, D. [University College London]·Carnero Rosell, A. [Instituto de Astrofisica de Canarias; Laboratório Interinstitucional de e-Astronomia-LIneA; Universidad de La Laguna]·Carretero, J. [Barcelona Institute of Science and Technology]·da Costa, L. N. [Laboratório Interinstitucional de e-Astronomia-LIneA]·Doel, P. [University College London]·Doux, C. [University of Pennsylvania; Université Grenoble Alpes]·Everett, S. [California Institute of Technology]·Flaugher, B. [Fermi National Accelerator Laboratory]·Frieman, J. [University of Chicago; Fermi National Accelerator Laboratory; University of Chicago]·García-Bellido, J. [Universidad Autonoma de Madrid]·Gaztanaga, E. [Institut d’Estudis Espacials de Catalunya (IEEC); University of Portsmouth; Institute of Space Sciences (ICE]·Gruen, D. [University Observatory]·Gruendl, R. A. [National Center for Supercomputing Applications; University of Illinois at Urbana-Champaign]·Gutierrez, G. [Fermi National Accelerator Laboratory]·Herner, K. [Fermi National Accelerator Laboratory]·Hinton, S. R. [University of Queensland]·Hollowood, D. L. [Santa Cruz Institute for Particle Physics]·Honscheid, K. [The Ohio State University; The Ohio State University]·Huterer, D. [University of Michigan]·James, D. J. [Center for Astrophysics | Harvard and Smithsonian]·Jeffrey, N. [University College London]·Mena-Fernández, J. [LPSC Grenoble-53]·Miquel, R. [Institució Catalana de Recerca i Estudis Avançats; Barcelona Institute of Science and Technology]·Muir, J. [University of Cincinnati; Perimeter Institute for Theoretical Physics]·Ogando, R. L. C. [Observatório Nacional]·Pereira, M. E. S. [Universität Hamburg]·Pieres, A. [Laboratório Interinstitucional de e-Astronomia-LIneA; Observatório Nacional]·Plazas Malagón, A. A. [Stanford University; SLAC National Accelerator Laboratory]·Samuroff, S. [Northeastern University; Barcelona Institute of Science and Technology]·Sanchez, E. [Centro de Investigaciones Energéticas]·Sanchez Cid, D. [Centro de Investigaciones Energéticas; University of Zürich]·Santiago, B. [Instituto de Física; Laboratório Interinstitucional de e-Astronomia-LIneA]·Sevilla-Noarbe, I. [Centro de Investigaciones Energéticas]·Smith, M. [Lancaster University]·Suchyta, Eric [Oak Ridge National Laboratory] (ORCID:0000000270479358)·Swanson, M. E. C. [National Center for Supercomputing Applications]·Tarle, G. [University of Michigan]·To, C. [University of Chicago]·Vikram, V. [Central University of Kerala]·Weaverdyck, N. [University of California; Lawrence Berkeley National Laboratory]·Weller, J. [Max Planck Institute for Extraterrestrial Physics; Universitäts-Sternwarte]

Abstract

We present a new pipeline designed for the robust inference of cosmological parameters using both second- and third-order shear statistics. We build a theoretical model for rapid evaluation of three-point correlations using our fastnc code and integrate it into the cosmosis framework. We measure the two-point functions 𝜉 ± and the full configuration-dependent three-point shear correlation functions across all auto- and cross-redshift bins. We compress the three-point functions into the mass aperture statistic ⟨ℳ$^{3}_{ap}$⟩ for a set of 796 simulated shear maps designed to model the Dark Energy Survey Year 3 data. We estimate from it the full covariance matrix and model the effects of intrinsic alignments, shear calibration biases and photometric redshift uncertainties. We apply scale cuts to minimize the contamination from the baryonic signal as modeled through hydrodynamical simulations. We find a significant improvement of 83% on the figure of merit in the Ω m − 𝑆 8 plane when we add the ⟨ℳ$^{3}_{ap}$⟩ data to 𝜉 ± . Here, we present our findings for all relevant cosmological and systematic uncertainty parameters and discuss the complementarity of third-order and second-order statistics.

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Gomes, R. C. H. [University of Pennsylvania] (ORCID:0000000238005662), Sugiyama, S. [University of Pennsylvania], Jain, B. [University of Pennsylvania], Jarvis, M. [University of Pennsylvania], Anbajagane, D. [University of Chicago], Gatti, M. [University of Chicago], Gebauer, D. [Universitäts-Sternwarte; Max Planck Institute for Extraterrestrial Physics], Gong, Z. [Universitäts-Sternwarte; Max Planck Institute for Extraterrestrial Physics], Halder, A. [University of Cambridge; Jesus College; Max Planck Institute for Extraterrestrial Physics; University Observatory], Marques, G. A. [Fermi National Accelerator Laboratory; University of Chicago], Pandey, S. [Columbia University], Marshall, J. L. [Texas A&M University], Allam, S. [Fermi National Accelerator Laboratory], Alves, O. [University of Michigan], Andrade-Oliveira, F. [University of Zürich], Bacon, D. [University of Portsmouth], Blazek, J. [Northeastern University], Bocquet, S. [University Observatory], Brooks, D. [University College London], Carnero Rosell, A. [Instituto de Astrofisica de Canarias; Laboratório Interinstitucional de e-Astronomia-LIneA; Universidad de La Laguna], Carretero, J. [Barcelona Institute of Science and Technology], da Costa, L. N. [Laboratório Interinstitucional de e-Astronomia-LIneA], Doel, P. [University College London], Doux, C. [University of Pennsylvania; Université Grenoble Alpes], Everett, S. [California Institute of Technology], Flaugher, B. [Fermi National Accelerator Laboratory], Frieman, J. [University of Chicago; Fermi National Accelerator Laboratory; University of Chicago], García-Bellido, J. [Universidad Autonoma de Madrid], Gaztanaga, E. [Institut d’Estudis Espacials de Catalunya (IEEC); University of Portsmouth; Institute of Space Sciences (ICE], Gruen, D. [University Observatory], Gruendl, R. A. [National Center for Supercomputing Applications; University of Illinois at Urbana-Champaign], Gutierrez, G. [Fermi National Accelerator Laboratory], Herner, K. [Fermi National Accelerator Laboratory], Hinton, S. R. [University of Queensland], Hollowood, D. L. [Santa Cruz Institute for Particle Physics], Honscheid, K. [The Ohio State University; The Ohio State University], Huterer, D. [University of Michigan], James, D. J. [Center for Astrophysics | Harvard and Smithsonian], Jeffrey, N. [University College London], Mena-Fernández, J. [LPSC Grenoble-53], Miquel, R. [Institució Catalana de Recerca i Estudis Avançats; Barcelona Institute of Science and Technology], Muir, J. [University of Cincinnati; Perimeter Institute for Theoretical Physics], Ogando, R. L. C. [Observatório Nacional], Pereira, M. E. S. [Universität Hamburg], Pieres, A. [Laboratório Interinstitucional de e-Astronomia-LIneA; Observatório Nacional], Plazas Malagón, A. A. [Stanford University; SLAC National Accelerator Laboratory], Samuroff, S. [Northeastern University; Barcelona Institute of Science and Technology], Sanchez, E. [Centro de Investigaciones Energéticas], Sanchez Cid, D. [Centro de Investigaciones Energéticas; University of Zürich], Santiago, B. [Instituto de Física; Laboratório Interinstitucional de e-Astronomia-LIneA], Sevilla-Noarbe, I. [Centro de Investigaciones Energéticas], Smith, M. [Lancaster University], Suchyta, Eric [Oak Ridge National Laboratory] (ORCID:0000000270479358), Swanson, M. E. C. [National Center for Supercomputing Applications], Tarle, G. [University of Michigan], To, C. [University of Chicago], Vikram, V. [Central University of Kerala], Weaverdyck, N. [University of California; Lawrence Berkeley National Laboratory], Weller, J. [Max Planck Institute for Extraterrestrial Physics; Universitäts-Sternwarte]. 2025-12-04. Cosmology with second- and third-order shear statistics for the Dark Energy Survey: Methods and simulated analysis. https://doi.org/10.1103/3f1p-spfp

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