The integrated three-point correlation function of cosmic shear

We present the integrated 3-point shear correlation function $i\zeta_{\pm}$ -- a higher-order statistic of cosmic field which can be directly estimated in wide-area weak lensing surveys without measuring full function, making this practical and complementary tool to 2-point statistics for cosmology. define it as 1-point aperture mass $M_{\mathrm{ap}}$ measured at different locations on correlated with corresponding local $\xi_{\pm}$. Building upon existing work bispectrum convergence field, we theoretical framework computing real space any projected within flat-sky approximation apply shear. Using analytical formulae non-linear matter power spectrum bispectrum, model validate N-body simulations uncertainties expected from sixth year data Dark Energy Survey. also explore Fisher information content perform joint analysis $\xi_{\pm}$ two tomographic source redshift bins realistic shape-noise analyse its constraining cosmological parameters. find that has potential considerably improve parameter constraints alone, particularly useful improving figure merit dynamical dark energy equation state parameters data.