Emulating the CFHTLenS weak lensing data: Cosmological constraints from moments and Minkowski functionals

摘要: Weak gravitational lensing is a powerful cosmological probe, with non-Gaussian features potentially containing the majority of information. We examine constraints on parameter triplet $({\mathrm{\ensuremath{\Omega}}}_{m},w,{\ensuremath{\sigma}}_{8})$ from weak convergence field, including set moments (up to fourth order) and Minkowski functionals, using publicly available data $154\text{ }\text{ }{\mathrm{deg}}^{2}$ CFHTLenS survey. utilize suite ray-tracing N-body simulations spanning 91 points in space, replicating galaxy sky positions, redshifts shape noise catalogs. then build an emulator that interpolates simulated descriptors as function $({\mathrm{\ensuremath{\Omega}}}_{m},w,{\ensuremath{\sigma}}_{8})$, use it compute likelihood constraints. employ principal component analysis reduce dimensionality help stabilize respect number bins used construct each statistic. Using full statistics, we find ${\mathrm{\ensuremath{\Sigma}}}_{8}\ensuremath{\equiv}{\ensuremath{\sigma}}_{8}({\mathrm{\ensuremath{\Omega}}}_{m}/0.27{)}^{0.55}=0.75\ifmmode\pm\else\textpm\fi{}0.04$ (68% C.L.), agreement previous values. $({\mathrm{\ensuremath{\Omega}}}_{m},{\ensuremath{\sigma}}_{8})$ doublet functionals suffer strong bias. However, high-order break degeneracy provide tight constraint these parameters no apparent The main contribution comes quartic derivatives.