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arXiv 0808.0341astro-ph
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污染不能解释宇宙微波背景辐射中缺乏大尺度功率

Contamination cannot explain the lack of large-scale power in the cosmic microwave background radiation

Emory F. Bunn, Austin Bourdon

备注：
9 pages. Submitted to Phys. Rev. D
发表信息：
Phys.Rev.D78:123509,2008
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摘要：

WMAP的大角度宇宙微波背景（CMB）各向异性图中出现了几个异常。其中之一就是缺乏大规模的力量。因为数据与标准模型的匹配非常好，所以很自然地将标准模型的扰动视为可能的解释。我们发现，只要源的扰动是统计独立的源的主要CMB各向异性，没有这样的模型可以解释这种大规模的功率赤字。相反，任何这样的扰动总是降低获得任何给定的大尺度功率低值的概率。我们严格证明了这一结果时，缺乏大规模的权力量化与二次统计，如四极矩。当一个统计的基础上的集成平方的关联函数被用来代替，我们提出了强有力的数值证据支持的结果。这一结果适用于时空几何受到扰动的模型（例如，椭圆宇宙）以及涉及局部污染、未诊断的前景或系统误差的解释。由于大规模的电力赤字可以说是观测到的异常中最重要的，因此应该以极大的怀疑态度看待恶化这种差异的解释，即使它们有助于解释其他异常，如多极排列。

英文摘要：

Several anomalies appear to be present in the large-angle cosmic microwave background (CMB) anisotropy maps of WMAP. One of these is a lack of large-scale power. Because the data otherwise match standard models extremely well, it is natural to consider perturbations of the standard model as possible explanations. We show that, as long as the source of the perturbation is statistically independent of the source of the primary CMB anisotropy, no such model can explain this large-scale power deficit. On the contrary, any such perturbation always reduces the probability of obtaining any given low value of large-scale power. We rigorously prove this result when the lack of large-scale power is quantified with a quadratic statistic, such as the quadrupole moment. When a statistic based on the integrated square of the correlation function is used instead, we present strong numerical evidence in support of the result. The result applies to models in which the geometry of spacetime is perturbed (e.g., an ellipsoidal Universe) as well as explanations involving local contaminants, undiagnosed foregrounds, or systematic errors. Because the large-scale power deficit is arguably the most significant of the observed anomalies, explanations that worsen this discrepancy should be regarded with great skepticism, even if they help in explaining other anomalies such as multipole alignments.

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