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arXiv 2203.01460astro-ph.CO
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将空间变化的乘性剪切偏差解释为第IV阶段弱透镜巡天的宇宙学参数估计

Propagating spatially-varying multiplicative shear bias to cosmological parameter estimation for stage-IV weak-lensing surveys

Casey Cragg, Christopher A. J. Duncan, Lance Miller, David Alonso

摘要:

我们考虑了空间变化的乘性剪切偏置(m偏置)对层析宇宙剪切角功率谱的影响。为了计算功率谱中的偏差,我们使用计算效率高的伪Cl方法估计与m-偏差映射相关的模式耦合矩阵。这允许我们考虑m偏置对高l的影响。然后,我们进行Fisher矩阵分析,预测宇宙学参数的偏差。对于一个空间变化的m-偏差,零均值和均方根值为0.01的欧氏类调查,我们发现,参数偏差达到最大的预期统计误差的~10%,如果多极l_max = 5000包括在内。我们的结论是,空间变化的m-偏差的影响可能是一个次主导的,但潜在的不可忽略的贡献,在即将到来的弱透镜调查的误差预算。我们还调查的依赖性的参数偏差的振幅和角度尺度的空间变化的m-偏置场,并得出结论,要求应放置在均方根的空间变化的m-偏置,除了任何要求的平均值。我们发现,对于一个类似欧几里得的调查,偏差一般超过统计误差的30%,m偏差均方根0.02 - 0.03,可以超过统计误差均方根0.04 - 0.05。这允许对由于即将到来的弱透镜测量中的系统学而将出现的m偏置的空间变化的允许幅度设置要求。

英文摘要:

We consider the bias introduced by a spatially-varying multiplicative shear bias (m-bias) on tomographic cosmic shear angular power spectra. To compute the bias in the power spectra, we estimate the mode-coupling matrix associated with an m-bias map using a computationally-efficient pseudo-Cl method. This allows us to consider the effect of the m-bias to high l. We then conduct a Fisher matrix analysis to forecast resulting biases in cosmological parameters. For a Euclid-like survey with a spatially-varying m-bias, with zero mean and rms of 0.01, we find that parameter biases reach a maximum of ~10% of the expected statistical error, if multipoles up to l_max = 5000 are included. We conclude that the effect of the spatially-varying m-bias may be a sub-dominant but potentially non-negligible contribution to the error budget in forthcoming weak lensing surveys. We also investigate the dependence of parameter biases on the amplitude and angular scale of spatial variations of the m-bias field, and conclude that requirements should be placed on the rms of spatial variations of the m-bias, in addition to any requirement on the mean value. We find that, for a Euclid-like survey, biases generally exceed ~30% of the statistical error for m-bias rms 0.02 - 0.03 and can exceed the statistical error for rms ~0.04 - 0.05. This allows requirements to be set on the permissible amplitude of spatial variations of the m-bias that will arise due to systematics in forthcoming weak lensing measurements.

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