Constraining primordial non-Gaussianity from the large scale structure two-point and three-point correlation functions
Abstract
Surveys of cosmological large-scale structure (LSS) are sensitive to the presence of local primordial non-Gaussianity (PNG), and may be used to constrain models of inflation. Local PNG, characterized by fNL, the amplitude of the quadratic correction to the potential of a Gaussian random field, is traditionally measured from LSS two-point and three-point clustering via the power spectrum and bi-spectrum. We propose a framework to measure fNL using the configuration space two-point correlation function (2pcf) monopole and three-point correlation function (3pcf) monopole of survey tracers. Our model estimates the effect of the scale-dependent bias induced by the presence of PNG on the 2pcf and 3pcf from the clustering of simulated dark matter halos. We describe how this effect may be scaled to an arbitrary tracer of the cosmological matter density. The 2pcf and 3pcf of this tracer are measured to constrain the value of fNL. Using simulations of luminous red galaxies observed by the Dark Energy Spectroscopic Instrument (DESI), we demonstrate the accuracy and constraining power of our model, and forecast the ability to constrainfNL to a precision of sigma(fNL) = 22 with one year of DESI survey data.
Keywords
Cite
@article{arxiv.2403.18789,
title = {Constraining primordial non-Gaussianity from the large scale structure two-point and three-point correlation functions},
author = {Z. Brown and R. Demina and A. G. Adame and S. Avila and E. Chaussidon and S. Yuan and V. Gonzalez-Perez and J. García-Bellido and J. Aguilar and S. Ahlen and R. Blum and D. Brooks and T. Claybaugh and S. Cole and A. de la Macorra and B. Dey and P. Doel and K. Fanning and J. E. Forero-Romero and E. Gaztañaga and S. Gontcho A Gontcho and K. Honscheid and C. Howlett and S. Juneau and R. Kehoe and T. Kisner and M. Landriau and L. Le Guillou and M. Manera and R. Miquel and E. Mueller and A. Muñoz-Gutièrrez and A. D. Myers and J. Nie and G. Niz and N. Palanque-Delabrouille and C. Poppett and M. Rezaie and G. Rossi and E. Sanchez and E. Schlafly and D. Schlegel and M. Schubnell and J. H. Silber and D. Sprayberry and G. Tarlé and M. Vargas-Magaña and B. A. Weaver and Z. Zhou and H. Zou},
journal= {arXiv preprint arXiv:2403.18789},
year = {2025}
}