arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0812.1756astro-ph
收藏

基于N-pdf的非高斯CMB映射分析应用于WMAP数据

Analysis of non-Gaussian CMB maps based on the N-pdf. Application to WMAP data

P. Vielva, J. L. Sanz

摘要:

提出了一种基于N点概率分布(pdf)研究宇宙微波背景(CMB)图非高斯性的新方法。对局部三阶非线性扰动模型进行了Likestive和Bayesian估计,其特征在于线性项由Gaussian N-pdf描述,二阶和三阶项分别与线性项的平方和立方成比例.我们还探索了一组模型选择技术(赤池和贝叶斯信息标准、最小描述长度、贝叶斯证据和广义似然比检验)及其应用,以决定给定数据集是否可以更好地由拟议的局部描述非高斯模型,而不是由标准高斯温度分布。作为一个应用程序,我们认为分析的WMAP 5年的数据在2度左右的分辨率。在这个角度尺度(萨克斯-沃尔夫制度),在这项工作中提出的非高斯描述默认(在某些条件下)的弱非线性耦合暴胀模型(例如小松和Spergel 2001)以前在文献中提出的近似局部形式。对于这种特定情况,我们获得了在95%CL下的非线性耦合参数-94 <F_nl <154的估计。同样,模型选择标准也表明,高斯假设是有利于对特定的本地非高斯模型在这项工作中提出。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。然而,我们的估计的基础上的N-pdf是更有效的比以前的估计,因此,提供更严格的约束度角分辨率的耦合参数。

英文摘要:

We present a new method based on the N-point probability distribution (pdf) to study non-Gaussianity in cosmic microwave background (CMB) maps. Likelihood and Bayesian estimation are applied to a local non-linear perturbed model up to third order, characterized by a linear term which is described by a Gaussian N-pdf, and a second and third order terms which are proportional to the square and the cube of the linear one. We also explore a set of model selection techniques (the Akaike and the Bayesian Information Criteria, the minimum description length, the Bayesian Evidence and the Generalized Likelihood Ratio Test) and their application to decide whether a given data set is better described by the proposed local non-Gaussian model, rather than by the standard Gaussian temperature distribution. As an application, we consider the analysis of the WMAP 5-year data at a resolution of around 2 degrees. At this angular scale (the Sachs-Wolfe regime), the non-Gaussian description proposed in this work defaults (under certain conditions) to an approximative local form of the weak non-linear coupling inflationary model (e.g. Komatsu & Spergel 2001) previously addressed in the literature. For this particular case, we obtain an estimation for the non-linear coupling parameter of -94 < F_nl < 154 at 95% CL. Equally, model selection criteria also indicate that the Gaussian hypothesis is favored against the particular local non-Gaussian model proposed in this work. This result is in agreement with previous findings obtained for equivalent non-Gaussian models and with different non-Gaussian estimators. However, our estimator based on the N-pdf is more efficient than previous estimators and, therefore, provides tighter constraints on the coupling parameter at degree angular resolution.

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。

↑