Response approach to the integrated shear 3-point correlation function: the impact of baryonic effects on small scales

TL;DR

This paper introduces a new theoretical model for the integrated shear 3-point correlation function that accurately accounts for baryonic effects on small scales, improving cosmological parameter constraints from cosmic shear data.

Contribution

The authors develop an accurate small-scale model for the integrated shear 3-point correlation function that incorporates baryonic feedback effects via the nonlinear matter bispectrum response functions.

Findings

Model reproduces small-scale $oldsymbol{ ext{ extit{zeta}}}_{ ext{ extit{ iny $oldsymbol{ extpm}$}}}$ in simulations

Including $oldsymbol{ ext{ extit{zeta}}}_{ ext{ extit{ iny $oldsymbol{ extpm}$}}}$ improves cosmological constraints by 20-40%

Baryonic feedback impacts can be effectively modeled through the nonlinear matter power spectrum

Abstract

The integrated shear 3-point correlation function $\zeta_{\pm}$ is a higher-order statistic of the cosmic shear field that describes the modulation of the 2-point correlation function $\xi_{\pm}$ by long-wavelength features in the field. Here, we introduce a new theoretical model to calculate $\zeta_{\pm}$ that is accurate on small angular scales, and that allows to take baryonic feedback effects into account. Our model builds on the realization that the small-scale $\zeta_{\pm}$ is dominated by the nonlinear matter bispectrum in the squeezed limit, which can be evaluated accurately using the nonlinear matter power spectrum and its first-order response functions to density and tidal field perturbations. We demonstrate the accuracy of our model by showing that it reproduces the small-scale $\zeta_{\pm}$ measured in simulated cosmic shear maps. The impact of baryonic feedback enters effectively only through the corresponding impact on the nonlinear matter power spectrum, thereby permitting to account for these astrophysical effects on $\zeta_{\pm}$ similarly to how they are currently accounted for on $\xi_{\pm}$. Using a simple idealized Fisher matrix forecast for a DES-like survey we find that, compared to $\xi_{\pm}$, a combined $\xi_{\pm}\ \&\ \zeta_{\pm}$ analysis can lead to improvements of order $20-40\%$ on the constraints of cosmological parameters such as $\sigma_8$ or the dark energy equation of state parameter $w_0$. We find similar levels of improvement on the constraints of the baryonic feedback parameters, which strengthens the prospects for cosmic shear data to obtain tight constraints not only on cosmology but also on astrophysical feedback models. These are encouraging results that motivate future works on the integrated shear 3-point correlation function towards applications to real survey data.