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arXiv 2104.12253astro-ph.COgr-qc
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由CMB弱透镜功率谱重构原始功率谱

Primordial Power Spectrum Reconstruction From CMB Weak Lensing Power Spectrum

Rajorshi Sushovan Chandra, Tarun Souradeep

摘要:

我们使用改进的Richardson-Lucy反卷积算法从CMB各向异性重构的弱透镜功率谱重构原始功率谱。与CMB温度功率谱相比,这提供了一个独立的窗口来观察和约束PPS $P_R(k)$沿不同的$k$标度。弱透镜功率谱不包含功率的二次变化,因此更清晰,不像温度功率谱,其遭受在其PPS重建中可见的透镜效应。我们表明,弱透镜内核的物理行为是不同的温度内核和重建广泛的功能超过$k$。我们使用模拟数据和Monte-Carlo采样,基于普朗克最佳拟合宇宙学参数来模拟数据和宇宙方差限制误差条,对误差传播进行了深入分析。误差和初始条件的分析提供了一个清晰的画面的最佳重建区域的估计,我们提供了一个算法的$P_R(k)$采样要使用的基础上给定的数据,误差和它的分箱属性。最终,我们计划在实际任务数据上使用这种方法,并为从其他扇区重建的PPS及其任何可能的特征提供交叉参考。

英文摘要:

We use the modified Richardson-Lucy deconvolution algorithm to reconstruct the Primordial Power Spectrum from the Weak Lensing Power spectrum reconstructed from the CMB anisotropies. This provides an independent window to observe and constrain the PPS $P_R(k)$ along different $k$ scales as compared to CMB Temperature Power Spectrum. The Weak Lensing Power spectrum does not contain secondary variations in power and hence is cleaner, unlike the Temperature Power spectrum which suffers from lensing which is visible in its PPS reconstructions. We demonstrate that the physical behaviour of the weak lensing kernel is different from the temperature kernel and reconstructs broad features over $k$. We provide an in-depth analysis of the error propagation using simulated data and Monte-Carlo sampling, based on Planck best-fit cosmological parameters to simulate the data and cosmic variance limited error bars. The error and initial condition analysis provides a clear picture of the optimal reconstruction region for the estimator and we provide and algorithm for $P_R(k)$ sampling to be used based on the given data, errors and its binning properties. Eventually we plan to use this method on actual mission data and provide a cross reference to PPS reconstructed from other sectors and any possible features in them.

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