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Main Authors: Rubira, Henrique, Schmidt, Fabian
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.05484
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author Rubira, Henrique
Schmidt, Fabian
author_facet Rubira, Henrique
Schmidt, Fabian
contents We revisit the stochastic, or noise, contributions to the galaxy density field within the effective field theory (EFT) of large-scale structure. Starting from the general, all-order expression of the EFT partition function, we elucidate how the stochastic contributions can be described by local nonlinear couplings of a single Gaussian noise field. We introduce an alternative formulation of the partition function in terms of such a noise field, and derive the corresponding field-level likelihood for biased tracers. This noise-field formulation can capture the complete set of stochastic contributions to the galaxy density at the field level in a normalized, positive-definite probability density which is suitable for numerical sampling. We illustrate this by presenting the first results of EFT-based field-level inference with non-Gaussian and density-dependent stochasticity on dark matter halos using LEFTfield.
format Preprint
id arxiv_https___arxiv_org_abs_2511_05484
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-Gaussian Galaxy Stochasticity and the Noise-Field Formulation
Rubira, Henrique
Schmidt, Fabian
Cosmology and Nongalactic Astrophysics
We revisit the stochastic, or noise, contributions to the galaxy density field within the effective field theory (EFT) of large-scale structure. Starting from the general, all-order expression of the EFT partition function, we elucidate how the stochastic contributions can be described by local nonlinear couplings of a single Gaussian noise field. We introduce an alternative formulation of the partition function in terms of such a noise field, and derive the corresponding field-level likelihood for biased tracers. This noise-field formulation can capture the complete set of stochastic contributions to the galaxy density at the field level in a normalized, positive-definite probability density which is suitable for numerical sampling. We illustrate this by presenting the first results of EFT-based field-level inference with non-Gaussian and density-dependent stochasticity on dark matter halos using LEFTfield.
title Non-Gaussian Galaxy Stochasticity and the Noise-Field Formulation
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2511.05484