Joint Bayesian analysis of large angular scale CMB temperature anomalies

被引:14
作者
Shaikh, Shabbir [1 ]
Mukherjee, Suvodip [2 ,3 ,4 ]
Das, Santanu [5 ,6 ]
Wandelt, Benjamin D. [2 ,3 ,4 ,7 ,8 ]
Souradeep, Tarun [1 ]
机构
[1] Inter Univ, Ctr Astron & Astrophys, Post Bag 4, Pune 411007, Maharashtra, India
[2] Inst Astrophys Paris, 98Bis Blvd Arago, F-75014 Paris, France
[3] Sorbonne Univ, Inst Lagrange Paris, 98 Bis Blvd Arago, F-75014 Paris, France
[4] Flatiron Inst, Ctr Computat Astrophys, 162 5th Ave, New York, NY 10010 USA
[5] Univ Wisconsin, Dept Phys, 1150 Univ Ave, Madison, WI 53706 USA
[6] Fermilab Natl Accelerator Lab, Batavia, IL 60510 USA
[7] Univ Illinois, Dept Phys, 1002 W Green St, Urbana, IL 61801 USA
[8] Univ Illinois, Dept Astron, 1002 W Green St, Urbana, IL 61801 USA
关键词
CMBR experiments; cosmological parameters from CMBR; CMBR theory; POWER SPECTRUM ESTIMATION; STATISTICAL ISOTROPY; SKY; RECONSTRUCTION; FLUCTUATIONS; ASYMMETRY; INFERENCE;
D O I
10.1088/1475-7516/2019/08/007
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Cosmic microwave background measurements show an agreement with the concordance cosmology model except for a few notable anomalies: Power Suppression, the lack of large scale power in the temperature data compared to what is expected in the concordance model, and Cosmic Hemispherical Asymmetry, a dipolar breakdown of statistical isotropy. An expansion of the CMB covariance in Bipolar Spherical Harmonics naturally parametrizes both these large-scale anomalies, allowing us to perform an exhaustive, fully Bayesian joint analysis of the power spectrum and violations of statistical isotropy up to the dipole level. Our analysis sheds light on the scale dependence of the Cosmic Hemispherical Asymmetry. Assuming a scale-dependent dipole modulation model with a two-parameter power law form, we explore the posterior pdf of amplitude A (l = 16) and the power law index alpha and find the maximum a posteriori values A(*)(l = 16) = 0.064 +/- 0.022 and alpha(*) = -0.92 +/- 0.22. The maximum a posteriori direction associated with the Cosmic Hemispherical Asymmetry is (l, b) = (247.8 degrees, 19.6 degrees) in Galactic coordinates, consistent with previous analyses. We evaluate the Bayes factor BSI-DM to compare the Cosmic Hemispherical Asymmetry model with the isotropic model. The data prefer but do not substantially favor the anisotropic model (BSI-DM = 0.4). We consider several priors and find that this evidence ratio is robust to prior choice. The large-scale power suppression does not soften when jointly inferring both the isotropic power spectrum and the parameters of the asymmetric model, indicating no evidence that these anomalies are coupled.
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页数:41
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