Modeling the 3-point correlation function of projected scalar fields on the sphere Article Swipe
Abraham Arvizu
,
Alejandro Avilés
,
Juan Carlos Hidalgo
,
Enrique López Moreno
,
Gustavo Niz
,
M. A. Rodríguez‐Meza
,
Sofía Samario
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1088/1475-7516/2024/12/049
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1088/1475-7516/2024/12/049
One of the main obstacles for the signal extraction of the three point correlation function using photometric surveys, such as the Rubin Observatory Legacy Survey of Space and Time (LSST), will be the prohibitive computation time required for dealing with a vast quantity of sources. Brute force algorithms, which naively scales as 𝒪 ( N 3 ) with the number of objects, can be further improved with tree methods but not enough to deal with large scale correlations of Rubin's data. However, a harmonic basis decomposition of these higher order statistics reduces the time dramatically, to scale as a two-point correlation function with the number of objects, so that the signal can be extracted in a reasonable amount of time. In this work, we aim to develop the framework to use these expansions within the Limber approximation for scalar (or spin-0) fields, such as galaxy counts, weak lensing convergence or aperture masses. We develop an estimator to extract the signal from catalogs and different phenomenological and theoretical models for its description. The latter includes halo model and standard perturbation theory, to which we add a simple effective field theory prescription based on the short range of non-locality of cosmic fields, significantly improving the agreement with simulated data. In parallel to the modeling of the signal, we develop a code that can efficiently calculate three points correlations of more than 200 million data points (a full sky simulation with Nside=4096) in ∼40 minutes, or even less than 10 minutes using an approximation in the searching algorithm, on a single high-performance computing node, enabling a feasible analysis for the upcoming LSST data.
Related Topics
Concepts
Physics
Correlation function (quantum field theory)
Scalar (mathematics)
Statistical physics
Function (biology)
Scalar field
Correlation
Point (geometry)
Classical mechanics
Theoretical physics
Mathematical physics
Quantum electrodynamics
Quantum mechanics
Geometry
Evolutionary biology
Dielectric
Mathematics
Biology
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1088/1475-7516/2024/12/049
- OA Status
- hybrid
- Cited By
- 2
- References
- 107
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4405570384
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4405570384Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1088/1475-7516/2024/12/049Digital Object Identifier
- Title
-
Modeling the 3-point correlation function of projected scalar fields on the sphereWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-12-01Full publication date if available
- Authors
-
Abraham Arvizu, Alejandro Avilés, Juan Carlos Hidalgo, Enrique López Moreno, Gustavo Niz, M. A. Rodríguez‐Meza, Sofía SamarioList of authors in order
- Landing page
-
https://doi.org/10.1088/1475-7516/2024/12/049Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
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https://doi.org/10.1088/1475-7516/2024/12/049Direct OA link when available
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Physics, Correlation function (quantum field theory), Scalar (mathematics), Statistical physics, Function (biology), Scalar field, Correlation, Point (geometry), Classical mechanics, Theoretical physics, Mathematical physics, Quantum electrodynamics, Quantum mechanics, Geometry, Evolutionary biology, Dielectric, Mathematics, BiologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
2Total citation count in OpenAlex
- Citations by year (recent)
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2025: 2Per-year citation counts (last 5 years)
- References (count)
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107Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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