论文标题
CMB极化图中非极化点的统计数据
Statistics of non-polarized points in the CMB polarization maps
论文作者
论文摘要
可以根据极化场的几何形状对CMB的$ Q $和$ u $ Stokes参数的非偏振点（NPP）进行分类。我们描述了一个程序，可以在像素化的天空中识别这些点，并在NPP附近呈现极化角的形状。我们使用Kullback-Leibler Divergence设计了高斯性测试。我们表明，E-和B-荷兰的非偏振点的总数密度与镜头的存在以及张量比比率$ r $密切相关。我们进一步表明，在没有镜头的情况下，所有类型的NPP总数不取决于$ r $，而镜头效果消除了这种脱落。该分析应用于2018 Planck版本的CMB地图。我们表明，与高斯模拟的参考集相比，SMICA和NILC地图的一般一致性。在指挥官（相应的$ p $ $ 0.07 $）和NILC（$ P = 0.15 $）地图中发现了最强的差异。
The non-polarized points (NPP) of the $Q$ and $U$ Stokes parameters of the CMB can be classified according to the geometry of the polarization field. We describe a procedure to identify these points in the pixelized sky and present the shape of the polarization angles in the vicinity of NPPs. We design a test of Gaussianity using the Kullback-Leibler divergence. We show that the total number density of non-polarized points of the E- and B-families is closely related to the presence of lensing and the tensor-to-scalar ratio $r$. We further show that in the absence of lensing, the total number of NPPs of all types does not depend on $r$, while the lensing effect removes this degeneracy. This analysis is applied to the CMB maps from the 2018 Planck release. We show that there is general consistency of SMICA and NILC maps compared to a reference set of Gaussian simulations. The strongest discrepancies are found in the Commander (with corresponding $p$-value $0.07$) and NILC ($p = 0.15$) maps.
