arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1701.08548astro-ph.CO
收藏

CMB温度导数的多尺度分析

Multiscale analysis of the CMB temperature derivatives

A. Marcos-Caballero, E. Martínez-González, P. Vielva

摘要:

我们研究了普朗克CMB温度在不同尺度下,通过其衍生物的二阶,这使得一个本地的形状和各向同性的字段的特征。在计算和统计特性的衍生物中有一个不完整的天空的问题是解决的文件。分析证实了在大尺度下CMB存在低方差,这在衍生品中也是显而易见的。此外,偏离标准模型的梯度,曲率和偏心张量的极值的数据进行了研究。正如所预期的,冷点被检测为曲率方面最突出的峰值之一,但是另外,当温度信息及其拉普拉斯算子相结合时,还观察到在$10^\circ$尺度上具有类似概率的另一特征。然而,当参考从理论基准模型计算的方差时,这两个偏差的$p$ -值增加到高于$6\%$,表明这些偏差可能与低方差异常相关。最后,介绍了旋量的方向各向异性的一个估计,它适用于由场导数导出的旋量。在偏心张量中检测概率为$<1\%$的各向异性方向。

英文摘要:

We study the Planck CMB temperature at different scales through its derivatives up to second order, which allows one to characterize the local shape and isotropy of the field. The problem of having an incomplete sky in the calculation and statistical characterization of the derivatives is addressed in the paper. The analysis confirms the existence of a low variance in the CMB at large scales, which is also noticeable in the derivatives. Moreover, deviations from the standard model in the gradient, curvature and the eccentricity tensor are studied in terms of extreme values on the data. As it is expected, the Cold Spot is detected as one of the most prominent peaks in terms of curvature, but additionally, when the information of the temperature and its Laplacian are combined, another feature with similar probability at the scale of $10^\circ$ is also observed. However, the $p$-value of these two deviations increase above the $6\%$ when they are referred to the variance calculated from the theoretical fiducial model, indicating that these deviations can be associated to the low variance anomaly. Finally, an estimator of the directional anisotropy for spinorial quantities is introduced, which is applied to the spinors derived from the field derivatives. An anisotropic direction whose probability is $<1\%$ is detected in the eccentricity tensor.

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。

↑