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 ($V=200h^{-3}{\text{Gpc}}^3$) 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 ${\omega }_{\mathrm{cdm}}$ by up to $15\%$. We further find that the maximum scale cut can be extended to $k_{\max }=0.12h{\mathrm{Mpc}}^{-1}$ 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.

62 pages, 15 figures