arXiv 1707.081292017-07astro-ph.COgr-qchep-phhep-th

根据动力学Sunyaev Zel'dovich效应和极化Sunyaev Zel'dovich效应重建远程偶极和四极场

Reconstruction of the remote dipole and quadrupole fields from the kinetic Sunyaev Zel'dovich and polarized Sunyaev Zel'dovich effects

Anne-Sylvie Deutsch, Emanuela Dimastrogiovanni, Matthew C. Johnson, Moritz Münchmeyer, Alexandra Terrana

备注：: 24 pages, 8 figures, minor changes
发表信息：: Phys. Rev. D 98, 123501 (2018)
DOI：: 10.1103/PhysRevD.98.123501

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摘要：

动力学Sunyaev Zel'dovich（kSZ）效应和极化Sunyaev Zel'dovich（pSZ）效应是再电离后宇宙结构中CMB光子散射引起的温度和极化各向异性。在kSZ效应的情况下，光学深度中的小角尺度各向异性受到宇宙微波背景（CMB）偶极场的调制，即在每个时空点处观察到的CMB偶极，其来源于原始偶极，特别是局部特有速度。在pSZ效应的情况下，类似的小规模的各向异性调制的CMB四极场，它接收标量和张量模式的贡献。统计各向异性的相互关联的CMB温度和极化与示踪剂的不均匀分布的电子提供了一种手段，隔离和重建的偶极和四极场。在本文中，我们提出了一套无偏最小方差二次估计的重建的偶极和四极场，并预测未来的CMB实验和大尺度结构调查进行这种重建的能力。与以前的工作相一致，我们发现，高保真度重建的偶极和四极场在各种尺度上确实是可能的，并证明原始张量模式的pSZ效应的敏感性。使用主成分分析，我们估计有多少独立的模式可以访问这样的重建。我们还评论了几个第一次应用程序的偶极和四极场的检测，包括重建的原始贡献，我们当地观察到的CMB偶极，一个测试的统计均匀性在大尺度上的第一模式的四极场，和重建技术的原始潜在的最大规模。

英文摘要：

The kinetic Sunyaev Zel'dovich (kSZ) and polarized Sunyaev Zel'dovich (pSZ) effects are temperature and polarization anisotropies induced by the scattering of CMB photons from structure in the post-reionization Universe. In the case of the kSZ effect, small angular scale anisotropies in the optical depth are modulated by the cosmic microwave background (CMB) dipole field, i.e. the CMB dipole observed at each spacetime point, which is sourced by the primordial dipole and especially the local peculiar velocity. In the case of the pSZ effect, similar small-scale anisotropies are modulated by the CMB quadrupole field, which receives contributions from both scalar and tensor modes. Statistical anisotropies in the cross correlations of CMB temperature and polarization with tracers of the inhomogeneous distribution of electrons provide a means of isolating and reconstructing the dipole and quadrupole fields. In this paper, we present a set of unbiased minimum variance quadratic estimators for the reconstruction of the dipole and quadrupole fields, and forecast the ability of future CMB experiments and large scale structure surveys to perform this reconstruction. Consistent with previous work, we find that a high fidelity reconstruction of the dipole and quadrupole fields over a variety of scales is indeed possible, and demonstrate the sensitivity of the pSZ effect to primordial tensor modes. Using a principle component analysis, we estimate how many independent modes could be accessed in such a reconstruction. We also comment on a few first applications of a detection of the dipole and quadrupole fields, including a reconstruction of the primordial contribution to our locally observed CMB dipole, a test of statistical homogeneity on large scales from the first modes of the quadrupole field, and a reconstruction technique for the primordial potential on the largest scales.

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