A nulling strategy for modelling lensing convergence in cones with large deviation theory

A nulling strategy for modelling lensing convergence in cones with large deviation theory
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大偏差理论锥体透镜会聚建模的归零策略

DOI:
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发表时间:
2019
影响因子:
4.8
通讯作者:
R. Gavazzi
R. Gavazzi
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Barthelemy;S. Codis;C. Uhlemann;F. Bernardeau;R. Gavazzi

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宇宙会聚场的分布是使用大偏差原理建模的,其中所有非高斯贡献都是从第一原理计算的。过去的光锥的几何形状占通过构建总的弱透镜信号从薄盘切片中的物质密度的贡献。该模型的预测成功地测试了数值模拟与射线追踪,并发现在至少5%的准确率在尾巴在红移1和10弧分的开口角,甚至更是如此,随着源红移和开口角。一个精确的解析近似理论也提供了实际的实施。与球形细胞中宇宙密度的三维情况相比,沿着沿着视线混合物理尺度的透镜内核倾向于减少这种理论方法的有效性域。这种影响被证明是可以避免的,如果一个调零程序,以实现本地化的透镜视线积分在层析分析。因此,对于0.5和1.5之间的源红移和10弧分的开口角,尾部的精度在百分之一以内。未来弱透镜调查,如欧几里得和形状噪声的具体问题的应用进行了讨论。
The distribution of the cosmic convergence field is modelled using a large deviation principle where all non-Gaussian contributions are computed from first principles. The geometry of the past light-cone is accounted for by constructing the total weak-lensing signal from contributions of the matter density in thin disc slices. The prediction of this model is successfully tested against numerical simulation with ray-tracing, and found to be accurate within at least 5 per cent in the tails at redshift 1 and opening angle of 10 arcmin and even more so with increasing source redshift and opening angle. An accurate analytical approximation to the theory is also provided for practical implementation. The lensing kernel that mixes physical scales along the line of sight tends to reduce the domain of validity of this theoretical approach compared to the three-dimensional case of cosmic densities in spherical cells. This effect is shown to be avoidable if a nulling procedure is implemented in order to localize the lensing line-of-sight integrations in a tomographic analysis. Accuracy in the tails is thus achieved within a per cent for source redshifts between 0.5 and 1.5 and an opening angle of 10 arcmin. Applications to future weak-lensing surveys like Euclid and the specific issue of shape noise are discussed.
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