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弱透镜巡天的贝叶斯星系形状测量- II。应用于模拟

Bayesian Galaxy Shape Measurement for Weak Lensing Surveys -II. Application to Simulations

T. D. Kitching, L. Miller, C. E. Heymans, L. van Waerbeke, A. F. Heavens

摘要:

我们扩展了Miller等人(2007)提出的贝叶斯模型拟合形状测量方法,并使用该方法从剪切测试程序模拟(STEP)中估计剪切。该方法使用了一种快速模型拟合算法,该算法使用真实的星系轮廓,并通过在傅立叶空间中进行模型拟合来解析地边缘化模型的位置和幅度。这是用来找到完整的后验概率椭圆,使剪切可以估计在一个完全贝叶斯的方式。贝叶斯剪切估计允许去除随机噪声的存在所引起的测量偏差。在本文中,我们介绍了一种迭代算法,可以用来估计的内在椭圆率先验,并表明这是准确和稳定的。通过使用该方法从STEP1模拟中估计剪切,我们发现该方法具有m ~ 0.005的剪切偏差和具有σ_c ~ 0.0002的PSF类型的剪切偏移的变化。这些值小于STEP1出版物中提出的任何方法,该方法与剪切呈线性关系。利用该方法对STEP2模拟的剪切进行估计,发现剪切偏差和偏移分别为m ~ 0.002和c ~ -0.0007。此外,我们发现,偏差和偏移是稳定的星系的大小和大小的变化。这种偏差应该产生任何宇宙学的限制,从未来的弱透镜调查鲁棒的形状测量系统的影响。

英文摘要:

We extend the Bayesian model fitting shape measurement method presented in Miller et al. (2007) and use the method to estimate the shear from the Shear TEsting Programme simulations (STEP). The method uses a fast model fitting algorithm which uses realistic galaxy profiles and analytically marginalises over the position and amplitude of the model by doing the model fitting in Fourier space. This is used to find the full posterior probability in ellipticity so that the shear can be estimated in a fully Bayesian way. The Bayesian shear estimation allows measurement bias arising from the presence of random noise to be removed. In this paper we introduce an iterative algorithm that can be used to estimate the intrinsic ellipticity prior and show that this is accurate and stable. By using the method to estimate the shear from the STEP1 simulations we find the method to have a shear bias of m ~ 0.005 and a variation in shear offset with PSF type of sigma_c ~ 0.0002. These values are smaller than for any method presented in the STEP1 publication that behaves linearly with shear. Using the method to estimate the shear from the STEP2 simulations we find than the shear bias and offset are m ~ 0.002 and c ~ -0.0007 respectively. In addition we find that the bias and offset are stable to changes in magnitude and size of the galaxies. Such biases should yield any cosmological constraints from future weak lensing surveys robust to systematic effects in shape measurement.

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