论文标题
Planck CMB地图中当地极限的聚类
Clustering of Local Extrema in Planck CMB maps
论文作者
论文摘要
将利用局部极值的聚类来检查普朗克观察到的CMB上的高斯性，不对称性和宇宙弦乐网络的足迹。峰值（$ n _ {\ rm pk} $的本地极点密度，$ n _ {\ rm tr} $用于槽）和尖锐的剪辑（$ n _ {\ rm pix} $）统计数据支持所有组件分离的高斯性假设。但是，阈值处的像素揭示了对端到端模拟的更一致的处理。检测到NILC和CR组件分离的阈值范围$θ\在阈值范围内，与相关的模拟非常小的偏差。未加权的两点相关函数（局部极值）说明了几乎所有可用阈值的不同组件分离与相应的高斯模拟之间的良好一致性。但是，对于高阈值，相对于普朗克$λ$ CDM模型，观察到峰聚类的小缺陷。要根据多普勒峰周围的$ψ$的值（$θ\约70-75 $ arcmin）对质量函数的幅度进行重大约束，我们应该考虑$ \ vartheta \ lyssim 0.0 $。峰值高于阈值和高阈值水平的峰值峰值的无关偏置因子与纯高斯CMB的预期值一致。应用$ n _ {\ rm pk} $，$ n _ {\ rm tr} $，$ψ_ {\ rm pk-pk} $和$ψ_ {\ rm tr-tr} $测量$ 7.5^2 $ deg $ deg $^2 $^2 $^2 $ sidections intery的CMB映射上的cmb映射。峰值聚类分析将上限放在宇宙弦张力上，$gμ^{（\ rm up）} \ Lessim 5.59 \ times 10^{ - 7} $，在Smica中。
The clustering of local extrema will be exploited to examine Gaussianity, asymmetry, and the footprint of the cosmic-string network on the CMB observed by Planck. The number density of local extrema ($n_{\rm pk}$ for peak and $n_{\rm tr}$ for trough) and sharp clipping ($n_{\rm pix}$) statistics support the Gaussianity hypothesis for all component separations. However, the pixel at the threshold reveals a more consistent treatment with respect to end-to-end simulations. A very tiny deviation from associated simulations in the context of trough density, in the threshold range $θ\in [-2-0]$ for NILC and CR component separations, are detected. The unweighted two-point correlation function, of the local extrema, illustrates good consistency between different component separations and corresponding Gaussian simulations for almost all available thresholds. However, for high thresholds, a small deficit in the clustering of peaks is observed with respect to the Planck fiducial $Λ$CDM model. To put a significant constraint on the amplitude of the mass function based on the value of $Ψ$ around the Doppler peak ($θ\approx 70-75$ arcmin), we should consider $\vartheta\lesssim 0.0$. The scale-independent bias factors for the peak above a threshold for large separation angle and high threshold level are in agreement with the value expected for a pure Gaussian CMB. Applying the $n_{\rm pk}$, $n_{\rm tr}$, $Ψ_{\rm pk-pk}$ and $Ψ_{\rm tr-tr}$ measures on the tessellated CMB map with patches of $7.5^2$ deg$^2$ size prove statistical isotropy in the Planck maps. The peak clustering analysis puts the upper bound on the cosmic-string tension, $Gμ^{(\rm up)} \lesssim 5.59\times 10^{-7}$, in SMICA.
