DEMNUni: cross-correlating the nonlinear ISWRS effect with CMB-lensing and galaxies in the presence of massive neutrinos

TL;DR

This paper develops an analytical model for the cross-correlations between the ISWRS effect and large-scale structure tracers, accounting for massive neutrinos, validated with simulations, and explores their potential for neutrino mass constraints.

Contribution

It introduces a new analytical approach validated against simulations to study neutrino effects on ISWRS and large-scale structure cross-correlations.

Findings

The sign inversion in cross-spectra relates linearly to neutrino mass.

Nonlinear effects shift the characteristic multipole position.

Current models can partially reproduce neutrino impacts in cross-correlations.

Abstract

We present an analytical modelling of the angular cross-correlations between the Integrated Sachs Wolfe-Rees Sciama (ISWRS) effect and large-scale structure tracers in the presence of massive neutrinos. Our method has been validated against large N-body simulations with a massive neutrino particle component, namely the DEMNUni suite. We investigate the impact of different neutrino masses on the cross-correlations between the ISWRS effect and both the galaxy clustering and the lensing of the Cosmic Microwave Background (CMB). We also test the ability of current nonlinear matter power spectrum modellings to reproduce neutrino effects in such cross-correlations. We show that the multipole position of a characteristic sign inversion in the cross-spectra, due to nonlinear effects, is strongly related to the total neutrino mass $M_\nu$ and depends almost linearly on it. While these nonlinear cross-correlation signals may not be able alone to constrain the neutrino mass, our approach paves the way to the detection of such cross-spectra on small scales for their exploitation in combination with main probes from future galaxy surveys and CMB experiments.