arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0910.3196astro-ph.CO
收藏

从CMB大尺度各向异性的N-pdf分析看对f_nl和g_nl的约束

Constraints on f_nl and g_nl from the analysis of the N-pdf of the CMB large scale anisotropies

P. Vielva, J. L. Sanz

摘要:

[摘要]在本文中,我们探讨了一个本地的非线性扰动模型高达三阶的CMB各向异性的一般表征。我们的分析集中在大规模的各向异性。在这些角度尺度下,本文提出的非高斯描述(在一定条件下)默认为弱非线性耦合暴胀模型的近似局部形式。特别地,二次项和三次项分别由非线性耦合参数f_nl和g_nl支配。本文提出的扩展允许我们直接约束这些非线性参数。将所提出的方法应用于WMAP 5年的数据,我们得到-5.6 x 10^5 < g_nl < 6.4 x 10^5,在95%CL。这一结果是在协议与以前的研究结果得到等效的非高斯模型和不同的非高斯估计。进行模型选择测试,表明高斯模型优于非高斯场景。当比较不同的非高斯模型时,我们观察到纯f_nl模型是最受欢迎的情况,并且纯g_nl模型比一般的非高斯场景更有可能。最后,我们分析了两个独立半球的WMAP数据,特别是由Hoftuft等人2009年发现的偶极模式定义的半球。我们表明,而g_nl仍然是兼容的两个半球为零,它不是f_nl的情况下(与p值0.04)。然而,如果假设数据的各向异性,则每个半球的似然分布之间的距离大于高斯和各向异性模拟的预期,对于g_nl也是如此(在该参数的情况下p值为0.001)。这一结果是以前在WMAP数据中报告的CMB不对称性的额外证据。

英文摘要:

[Abridged] In this paper we explore a local non-linear perturbative model up to third order as a general characterization of the CMB anisotropies. We focus our analysis in large scale anisotropies. At these angular scales, the non-Gaussian description proposed in this work defaults (under certain conditions) to an approximated local form of the weak non-linear coupling inflationary model. In particular, quadratic and cubic terms are governed by the non-linear coupling parameters f_nl and g_nl, respectively. The extension proposed in this paper allows us to directly constrain these non-linear parameters. Applying the proposed methodology to WMAP 5-yr data, we obtain -5.6 x 10^5 < g_nl < 6.4 x 10^5, at 95% CL. This result is in agreement with previous findings obtained for equivalent non-Gaussian models and with different non-Gaussian estimators. A model selection test is performed, indicating that a Gaussian model is preferred to the non-Gaussian scenario. When comparing different non-Gaussian models, we observe that a pure f_nl model is the most favoured case, and that a pure g_nl model is more likely than a general non-Gaussian scenario. Finally, we have analyzed the WMAP data in two independent hemispheres, in particular the ones defined by the dipolar pattern found by Hoftuft et al. 2009. We show that, whereas g_nl is still compatible with zero for both hemispheres, it is not the case for f_nl (with a p-value 0.04). However, if anisotropy of the data is assumed, the distance between the likelihood distributions for each hemisphere is larger than expected from Gaussian and anisotropic simulations, also for g_nl (with a p-value of 0.001 in the case of this parameter). This result is an extra evidence for the CMB asymmetries previously reported in WMAP data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑