论文标题

前景 - 免疫CMB透镜重建与极化

Foreground-immune CMB lensing reconstruction with polarization

论文作者

Sailer, Noah, Ferraro, Simone, Schaan, Emmanuel

论文摘要

众所周知,乳外前的前景会在基于温度的CMB镜头重建中产生明显的偏见。已经提出了几种技术,其中包括``源硬化''和``剪切估计器'',以减轻污染,并已被证明在减少前景引起的偏见方面非常有效。在这里,我们将这两种技术扩展到极化,这将是CMB镜头重建的重要组成部分,以进行未来的实验,并在分析上研究``大镜头''极限,以深入了解前景偏见的起源和缩放的起源和缩放,以及对它们的敏感性以及诸如偏置源的敏感性。镜头重建,发现对前者的偏见很小,而后者的偏见在小尺度上可能不可忽略($ l \ sim1000-2000 $)。特别是,我们表明,对于CMB-S4,例如实验,点源硬化估计器的最佳线性组合可以减少(点源引起的)偏置CMB镜头功率谱的偏置,最多可以以$ \ sim4 \%$ $ $ $ $ $ $ $ $ $ $ $ $ $ noise的全球最小值估计器,最多两个数量级。

Extragalactic foregrounds are known to generate significant biases in temperature-based CMB lensing reconstruction. Several techniques, which include ``source hardening'' and ``shear-only estimators'' have been proposed to mitigate contamination and have been shown to be very effective at reducing foreground-induced biases. Here we extend both techniques to polarization, which will be an essential component of CMB lensing reconstruction for future experiments, and investigate the ``large-lens'' limit analytically to gain insight on the origin and scaling of foreground biases, as well as the sensitivity to their profiles.Using simulations of polarized point sources, we estimate the expected bias to both Simons Observatory and CMB-S4 like (polarization-based) lensing reconstruction, finding that biases to the former are minuscule while those to the latter are potentially non-negligible at small scales ($L\sim1000-2000$). In particular, we show that for a CMB-S4 like experiment, an optimal linear combination of point-source hardened estimators can reduce the (point-source induced) bias to the CMB lensing power spectrum by up to two orders of magnitude, at a $\sim4\%$ noise cost relative to the global minimum variance estimator.

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