Renormalized Perturbation Theory at Field-level: the LSS bootstrap in GridSPT

2025/06/08 by Matteo Peron, Peron, Matteo, Takahiro Nishimichi +5 · 3 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena

paper · doi:10.48550/arxiv.2506.07105

openalex publication_date 2025/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a first step toward field-level cosmological inference beyond the standard ΛCDM model, focusing on optimizing precision tests in the nonlinear regime of large-scale structure (LSS). As an illustrative case, we study the model-independent ``bootstrap'' coefficient of the second-order perturbation theory (PT) kernel for matter in real space, which we use as a proxy for new physics effects in the nonlinear sector. We discuss in details the ultraviolet (UV) cutoff dependence induced by discretizing fields on a grid, which requires proper renormalization to eliminate grid artifacts. We formulate a Wilsonian perturbative framework in which the evolution from a UV theory defined at a high cutoff Λ_uv down to lower cutoffs is computed analytically, even beyond the validity of a derivative expansion. Within this framework, we develop an extended version of the GridSPT code incorporating the bootstrap parameterization and demonstrate how cutoff-independent predictions can be achieved through the inclusion of appropriate counterterms. We validate our approach at third- and fifth-order in PT, emphasizing the importance of higher-derivative contributions for unbiased parameter extraction. Our framework is readily extendable to biased tracers and redshift-space distortions.

Citations

• On the Connection between Field-Level Inference and n-point Correlation Functions
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• Slice sampling

Cited by

• Cosmology inference with perturbative forward modeling at the field level: a comparison with joint power spectrum and bispectrum analyses
• Two-loop renormalization and running of galaxy bias
• Equivalence of the field-level inference and conventional analyses on large scales

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