Limits on primordial non-Gaussianity from Minkowski Functionals of the WMAP temperature anisotropies
Limits on primordial non-Gaussianity from Minkowski Functionals of the WMAP temperature anisotropies
复制标题
WMAP 温度各向异性的 Minkowski 泛函对原初非高斯性的限制
DOI：
10.1111/j.1365-2966.2008.13674.x
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发表时间：
2008
影响因子：
4.8
通讯作者：
Hikage C
中科院分区：
文献类型：
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作者：
Hikage C
我们提出了描述威尔金森微波各向异性探测（WMAP） 3年温度图的闵可夫斯基泛函（MFs）的分析，以限制可能的原始非高斯性水平。特别地，我们应用微扰公式对通常的非线性耦合常数nl给出约束。理论预测与模拟宇宙微波背景（CMB）图的MFs一致，包括辐射传输的全部影响。即使模拟图包含各种观测伪影，包括像素窗函数、波束涂抹、非均匀噪声和测量掩模，其一致性也很好。因此，我们发现这些解析公式可以直接应用于观测测量，而不依赖于非高斯模拟。在卡方分析中考虑wmap中mf的bin-to-bin协方差，我们发现使用q +V+ wco添加的地图，原始非高斯参数被约束在- 70 <fNL< 91[95%置信水平（C.L.）]的范围内。
We present an analysis of the Minkowski Functionals (MFs) describing theWilkinson Microwave Anisotropy Probe(WMAP) 3-yr temperature maps to place limits on possible levels of primordial non-Gaussianity. In particular, we apply perturbative formulae for the MFs to give constraints on the usual non-linear coupling constantfNL. The theoretical predictions are found to agree with the MFs of simulated cosmic microwave background (CMB) maps including the full effects of radiative transfer. The agreement is also very good even when the simulation maps include various observational artefacts, including the pixel window function, beam smearing, inhomogeneous noise and the survey mask. We accordingly find that these analytical formulae can be applied directly to observational measurements offNLwithout relying on non-Gaussian simulations. Considering the bin-to-bin covariance of the MFs inWMAPin a chi-square analysis, we find that the primordial non-Gaussianity parameter is constrained to lie in the range −70 <fNL< 91[95 per cent confidence level (C.L.)] using theQ+V+Wco-added maps.