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arXiv 1501.02101astro-ph.COastro-ph.IM
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实验梁的非圆度对CMB参数估计的影响

Effect of noncircularity of experimental beam on CMB parameter estimation

Santanu Das, Sanjit Mitra, Sonu Tabitha Paulson

摘要:

宇宙微波背景(CMB)各向异性的测量是精确宇宙学研究的重要内容,它提供了对宇宙学模型和参数的严格约束。然而,只有考虑到所有主要的系统效应,精确度才有意义。CMB实验中的非圆形光束不仅可以通过修改给定多极子处的测量,而且还可以通过确定性偏置矩阵在不同多极子之间引入耦合,从而导致角功率谱中的大的系统偏差。在这里,我们添加了一个机制,通过参数估计代码SCoPE的普朗克似然码模拟一个完整的偏置矩阵的效果。研究表明,如果采用非圆光束测量角功率谱,采用圆高斯光束假设或只考虑偏置矩阵的对角部分会导致参数估计的巨大误差。我们证明,至少对于椭圆高斯光束,使用标量光束窗口函数通过蒙特卡罗模拟从基准光谱开始,例如在普朗克分析中实施,导致EM只有百分之几的最佳拟合参数的西格玛偏差。然而,我们注意到一些参数的后验分布存在更显著的差异,这反过来会导致错误的误差线。通过增加迭代再分析步骤,可以减少这些差异,使得误差条在几个百分比内匹配,其中将使用第一步骤中估计的最佳拟合光谱来重新计算波束窗口函数。

英文摘要:

Measurement of Cosmic Microwave Background (CMB) anisotropies has been playing a lead role in precision cosmology by providing some of the tightest constrains on cosmological models and parameters. However, precision can only be meaningful when all major systematic effects are taken into account. Non-circular beams in CMB experiments can cause large systematic deviation in the angular power spectrum, not only by modifying the measurement at a given multipole, but also introducing coupling between different multipoles through a deterministic bias matrix. Here we add a mechanism for emulating the effect of a full bias matrix to the Planck likelihood code through the parameter estimation code SCoPE. We show that if the angular power spectrum was measured with a non-circular beam, the assumption of circular Gaussian beam or considering only the diagonal part of the bias matrix can lead to huge error in parameter estimation. We demonstrate that, at least for elliptical Gaussian beams, use of scalar beam window functions obtained via Monte Carlo simulations starting from a fiducial spectrum, as implemented in Planck analyses for example, leads to em only few percent of sigma deviation of the best-fit parameters. However, we notice more significant differences in the posterior distributions for some of the parameters, which would in turn lead to incorrect errorbars. These differences can be reduced, so that the errorbars match within few percent, by adding an iterative reanalysis step, where the beam window function would be recomputed using the best-fit spectrum estimated in the first step.

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