Full-Shape Analysis of the Redshift-Space Galaxy Trispectrum in the EFTofLSS
Abstract
The effective field theory of large-scale structure (EFTofLSS) program for spectroscopic galaxy surveys has been remarkably successful for cosmological inference from the galaxy power spectrum and bispectrum. However, a full-shape cosmological analysis including the galaxy trispectrum has not yet been performed. In this work, we develop the tree-level EFTofLSS model of the galaxy trispectrum, including all relevant ingredients: galaxy bias, stochasticity, infrared resummation, Fingers-of-God (FoG) counterterms, Alcock-Paczynski distortions, binning effects, and covariance. We validate the model by performing cosmological inference using the one-loop galaxy power spectrum, tree-level bispectrum, and tree-level trispectrum measured from dark-matter halos in 25 AbacusSummit N-body simulations, whose large effective volume (V=200h−3Gpc3) allows us to test the precision of our model and determine scale cuts in both real-space and redshift-space. We also study the cosmological information content of the galaxy trispectrum in a DESI-like volume, finding that its inclusion can improve constraints e.g., on ωcdm by up to 15%. We further find that the maximum scale cut can be extended to kmax=0.12hMpc−1 depending on the tracer, thanks to our improved treatment of FoG effects. This provides a path towards using the three-dimensional large-scale structure to constrain new-physics scenarios with distinctive signatures in the trispectrum, in particular primordial non-Gaussianity.
Related
- The Redshift-Space Galaxy Power Spectrum at Two-Loop Order
- The Redshift-Space Cluster-Galaxy Cross-Correlation as a Probe of Gravity on Cosmic Scales
- Constraints on Primordial Oscillatory Features from the Power Spectrum and Bispectrum of Redshift-Space Galaxy Clustering in DESI DR1
- Small-Scale Clustering of Primordial Black Holes: The Little Red Dot Mass Function and the High-Redshift Galaxy Tension
- Emulator-Assisted Calibration of a Semi-Analytic Galaxy Formation Model for the Roman Galaxy Redshift Survey
BibTeX
@misc{tucci2026fullshape,
title = {{Full-Shape Analysis of the Redshift-Space Galaxy Trispectrum in the EFTofLSS}},
author = {Beatriz Tucci and Oliver H. E. Philcox},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.08908},
eprint = {2610.08908},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.08908},
}
RIS
TY - UNPB
TI - Full-Shape Analysis of the Redshift-Space Galaxy Trispectrum in the EFTofLSS
AU - Beatriz Tucci
AU - Oliver H. E. Philcox
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2610.08908
UR - https://arxiv.org/abs/2610.08908
AB - The effective field theory of large-scale structure (EFTofLSS) program for spectroscopic galaxy surveys has been remarkably successful for cosmological inference from the galaxy power spectrum and bispectrum. However, a full-shape cosmological analysis including the galaxy trispectrum has not yet been performed. In this work, we develop the tree-level EFTofLSS model of the galaxy trispectrum, including all relevant ingredients: galaxy bias, stochasticity, infrared resummation, Fingers-of-God (FoG) counterterms, Alcock-Paczynski distortions, binning effects, and covariance. We validate the model by performing cosmological inference using the one-loop galaxy power spectrum, tree-level bispectrum, and tree-level trispectrum measured from dark-matter halos in 25 AbacusSummit N-body simulations, whose large effective volume (V=200h^−3Gpc^3) allows us to test the precision of our model and determine scale cuts in both real-space and redshift-space. We also study the cosmological information content of the galaxy trispectrum in a DESI-like volume, finding that its inclusion can improve constraints e.g., on ω_cdm by up to 15%. We further find that the maximum scale cut can be extended to k_max=0.12hMpc^−1 depending on the tracer, thanks to our improved treatment of FoG effects. This provides a path towards using the three-dimensional large-scale structure to constrain new-physics scenarios with distinctive signatures in the trispectrum, in particular primordial non-Gaussianity.
ER -