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arXiv 0905.1073astro-ph.COgr-qchep-ph
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作为大空洞的冷点:对CMB两点和三点关联函数的透镜效应

The Cold Spot as a Large Void: Lensing Effect on CMB Two and Three Point Correlation Functions

Isabella Masina, Alessio Notari

摘要:

CMB天空中的“冷点”可能是由于存在一个异常巨大的球形欠密区域-一个“虚空”-半径为数百Mpc/h。这样的结构将不仅在低-l处而且在高-l处通过透镜对CMB两点(功率谱)和三点(双谱)关联函数产生影响,这是空隙的独特特征。建模这样一个欠密度与LTB度量,我们表明,功率谱的影响应该是可见的,只有在WMAP数据中的虚空半径至少是L \gtrsim 1 Gpc/h,而它将是可见的普朗克卫星,如果L \gtrsim 500 Mpc/h。我们还推测,这可能与高-l探测到的天空中的半球形功率不对称有关。此外,在非对角两点函数中应该存在非零相关性。对于双谱,这种效应对于具有两个非常高l的压缩三角形变得非常重要:如果空洞半径至少为L \gtrsim 300 Mpc/h,则普朗克可以检测到这种信号,而更高分辨率的实验应该能够探测整个参数空间。我们还估计了由于该信号而导致的原始非高斯性f_NL的污染,其结果是可以忽略的。

英文摘要:

The "Cold Spot" in the CMB sky could be due to the presence of an anomalous huge spherical underdense region - a "Void" - of a few hundreds Mpc/h radius. Such a structure would have an impact on the CMB two-point (power spectrum) and three-point (bispectrum) correlation functions not only at low-l, but also at high-l through Lensing, which is a unique signature of a Void. Modeling such an underdensity with an LTB metric, we show that for the power spectrum the effect should be visible already in the WMAP data only if the Void radius is at least L \gtrsim 1 Gpc/h, while it will be visible by the Planck satellite if L \gtrsim 500 Mpc/h. We also speculate that this could be linked to the high-l detection of an hemispherical power asymmetry in the sky. Moreover, there should be non-zero correlations in the non-diagonal two-point function. For the bispectrum, the effect becomes important for squeezed triangles with two very high l's: this signal can be detected by Planck if the Void radius is at least L \gtrsim 300 Mpc/h, while higher resolution experiments should be able to probe the entire parameter space. We have also estimated the contamination of the primordial non-Gaussianity f_NL due to this signal, which turns out to be negligible.

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