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arXiv 1012.2978astro-ph.CO
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来自Coyote宇宙的弱透镜统计

Weak lensing statistics from the Coyote Universe

Tim Eifler

摘要:

分析来自KIDS、DES、LSST、Euclid、WFIRST的未来弱透镜数据集需要对弱透镜测量进行精确的预测。在本文中,我们提出了一个弱透镜预测代码的基础上Coyote宇宙模拟器。Coyote Universe模拟器在红移区间z \in [0;1]内对k \in [0.002;3.4] h/Mpc的密度涨落(P_delta)的(非线性)功率谱进行了高精度的预测,在此范围外,我们使用修改后的Halofit码扩展了P_delta。该管道用于计算各种二阶宇宙剪切统计,例如,剪切功率谱、剪切-剪切关联函数、环统计量和COSEBI(Complete Orthogonal Set of EB-mode Integrals),并研究了已知P_delta的k(和z)上限对这些统计量的影响。例如,我们发现,k_max~8 h/Mpc导致剪切功率谱在l~4000处的偏差,这与DES类调查的统计误差(固有形状噪声和宇宙方差)相当,而对于LSST类误差,k_max~15 h/Mpc需要将偏差限制在l~4000处。对于最近发展的二阶剪切统计量,COSEBI,我们发现,9模式可以准确地计算知道P_delta到k_max=10 h/Mpc。COSEBI允许使用在有限范围内测量的剪切-剪切关联函数进行EB模式分解,从而避免由于有限测量尺寸而导致的任何EB模式混合。我们在5维参数空间中进行了详细的研究,以检查是否所有的宇宙学信息都被这9个模式捕获,结果已经有7-8个模式就足够了。

英文摘要:

Analyzing future weak lensing data sets from KIDS, DES, LSST, Euclid, WFIRST requires precise predictions for the weak lensing measures. In this paper we present a weak lensing prediction code based on the Coyote Universe emulator. The Coyote Universe emulator predicts the (non-linear) power spectrum of density fluctuations (P_delta) to high accuracy for k \in [0.002;3.4] h/Mpc within the redshift interval z \in [0;1], outside this regime we extend P_delta using a modified Halofit code. This pipeline is used to calculate various second-order cosmic shear statistics, e.g., shear power spectrum, shear-shear correlation function, ring statistics and COSEBIs (Complete Orthogonal Set of EB-mode Integrals), and we examine how the upper limit in k (and z) to which P_delta is known, impacts on these statistics. For example, we find that k_max~8 h/Mpc causes a bias in the shear power spectrum at l~4000 that is comparable to the statistical errors (intrinsic shape-noise and cosmic variance) of a DES-like survey, whereas for LSST-like errors k_max~15 h/Mpc is needed to limit the bias at l~4000. For the most recently developed second-order shear statistics, the COSEBIs, we find that 9 modes can be calculated accurately knowing P_delta to k_max=10 h/Mpc. The COSEBIs allow for an EB-mode decomposition using a shear-shear correlation function measured over a finite range, thereby avoiding any EB-mode mixing due to finite survey size. We perform a detailed study in a 5-dimensional parameter space in order to examine whether all cosmological information is captured by these 9 modes with the result that already 7-8 modes are sufficient.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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