论文标题

超越Planck XI。贝叶斯CMB分析,基于样本的端到端错误传播

BeyondPlanck XI. Bayesian CMB analysis with sample-based end-to-end error propagation

论文作者

Colombo, L. P. L., Eskilt, J. R., Paradiso, S., Thommesen, H., Andersen, K. J., Aurlien, R., Banerji, R., Bersanelli, M., Bertocco, S., Brilenkov, M., Carbone, M., Eriksen, H. K., Foss, M. K., Franceschet, C., Fuskeland, U., Galeotta, S., Galloway, M., Gerakakis, S., Gjerløw, E., Hensley, B., Herman, D., Iacobellis, M., Ieronymaki, M., Ihle, H. T., Jewell, J. B., Karakci, A., Keihänen, E., Keskitalo, R., Maggio, G., Maino, D., Maris, M., Partridge, B., Reinecke, M., Suur-Uski, A. -S., Svalheim, T. L., Tavagnacco, D., Watts, D. J., Wehus, I. K., Zacchei, A.

论文摘要

我们提供了基于后样品的宇宙微波背景(CMB)的约束,来自Planck LFI和WMAP观测值,这些观测值是通过全局端到端贝叶斯加工得出的。我们使用这些样品研究CMB,前景和仪器参数之间的相关性,并确定了CMB温度波动和中间角度尺度上的无自由发射之间的特别强大的退化,这可以通过模型还原,掩盖,掩盖和重新塑造来缓解。我们将基于后验的CMB结果与以前的Planck产品进行了比较,并发现一般的一致性,但是由于排除HFI数据而导致的噪声更高。我们发现最合适的CMB偶极振幅为$ 3362.7 \pm1.4μk$,与以前的Planck结果非常吻合。引用的不确定性直接来自采样的后验分布,并且不涉及系统效应的任何临时贡献。同样,我们发现温度四极振幅为$σ^{tt} _2 = 229 \pm97μk^2 $,在幅度上与先前的结果一致,但不确定性是比对角渔民不确定性大的数量级。相关的是,我们发现比以前报道的$ \ ell = 2 $和$ \ ell = 3 $之间可能对齐的证据要较低,这是由于单个四极系数的散布要大得多,这既是由于更完整的系统效果而边缘化,以及我们的更保守的分析掩码。对于较高的多物,我们发现角度温度功率谱通常与Planck和WMAP都吻合。这是第一次成功建立了基于样本的Blackwell-Rao估计量,该估计量已成功建立了最高$ \ ell \ le600 $的多孔,现在它占了大多数宇宙学重要的信息。宇宙参数约束在同伴论文中呈现。 (擦伤)

We present posterior sample-based cosmic microwave background (CMB) constraints from Planck LFI and WMAP observations derived through global end-to-end Bayesian processing. We use these samples to study correlations between CMB, foreground, and instrumental parameters, and we identify a particularly strong degeneracy between CMB temperature fluctuations and free-free emission on intermediate angular scales, which is mitigated through model reduction, masking, and resampling. We compare our posterior-based CMB results with previous Planck products, and find generally good agreement, but with higher noise due to exclusion of HFI data. We find a best-fit CMB dipole amplitude of $3362.7\pm1.4μK$, in excellent agreement with previous Planck results. The quoted uncertainty is derived directly from the sampled posterior distribution, and does not involve any ad hoc contribution for systematic effects. Similarly, we find a temperature quadrupole amplitude of $σ^{TT}_2=229\pm97μK^2$, in good agreement with previous results in terms of the amplitude, but the uncertainty is an order of magnitude larger than the diagonal Fisher uncertainty. Relatedly, we find lower evidence for a possible alignment between $\ell = 2$ and $\ell = 3$ than previously reported due to a much larger scatter in the individual quadrupole coefficients, caused both by marginalizing over a more complete set of systematic effects, and by our more conservative analysis mask. For higher multipoles, we find that the angular temperature power spectrum is generally in good agreement with both Planck and WMAP. This is the first time the sample-based asymptotically exact Blackwell-Rao estimator has been successfully established for multipoles up to $\ell\le600$, and it now accounts for the majority of the cosmologically important information. Cosmological parameter constraints are presented in a companion paper. (Abriged)

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