模拟CFHTLenS弱透镜数据：来自矩和Minkowski泛函的宇宙学约束
Emulating the CFHTLenS Weak Lensing data: Cosmological Constraints from moments and Minkowski functionals
摘要：
弱引力透镜是一个强大的宇宙学探测器，非高斯特征可能包含大部分信息。我们检查约束的参数三元组$(Ω_m,w,σ_8)$从非高斯特征的弱透镜收敛场，包括一组的时刻（高达$4^{\rm th}$顺序）和闵可夫斯基泛函，使用公开的数据从154度$^2$ CFHTLenS调查。我们利用一套光线跟踪N体模拟跨越91个点的$(Ω_m,w,σ_8)$参数空间，复制星系的天空位置，红移和形状噪声的CFHTLenS目录。然后，我们建立一个仿真器，内插模拟的描述符作为$(Ω_m,w,σ_8)$的函数，并使用它来计算似然函数和参数约束。我们采用了主成分分析，以减少维数，并帮助稳定的约束，用于构建每个统计的箱子的数量。使用全套统计数据，我们发现$Σ_8\equivσ_8(Ω_m/0.27)^{0.55}=0.75\pm0.04$（68% C.L.），与以前的值一致。我们发现，从闵可夫斯基泛函的$(Ω_m,σ_8)$双峰的约束遭受强烈的偏见。然而，高阶矩打破了$(Ω_m,σ_8)$的简并性，并对这些参数提供了严格的约束，没有明显的偏差。主要贡献来自导数的四次矩。
英文摘要：
Weak gravitational lensing is a powerful cosmological probe, with non--Gaussian features potentially containing the majority of the information. We examine constraints on the parameter triplet $(Ω_m,w,σ_8)$ from non-Gaussian features of the weak lensing convergence field, including a set of moments (up to $4^{\rm th}$ order) and Minkowski functionals, using publicly available data from the 154deg$^2$ CFHTLenS survey. We utilize a suite of ray--tracing N-body simulations spanning 91 points in $(Ω_m,w,σ_8)$ parameter space, replicating the galaxy sky positions, redshifts and shape noise in the CFHTLenS catalogs. We then build an emulator that interpolates the simulated descriptors as a function of $(Ω_m,w,σ_8)$, and use it to compute the likelihood function and parameter constraints. We employ a principal component analysis to reduce dimensionality and to help stabilize the constraints with respect to the number of bins used to construct each statistic. Using the full set of statistics, we find $Σ_8\equivσ_8(Ω_m/0.27)^{0.55}=0.75\pm0.04$ (68% C.L.), in agreement with previous values. We find that constraints on the $(Ω_m,σ_8)$ doublet from the Minkowski functionals suffer a strong bias. However, high-order moments break the $(Ω_m,σ_8)$ degeneracy and provide a tight constraint on these parameters with no apparent bias. The main contribution comes from quartic moments of derivatives.
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