Statistical anisotropy in CMB spectral distortions

2018/10/31 by Atsuhisa Ota · 1 citation
Physics and Astronomy · #astro-ph.CO #gr-qc #hep-ph

paper · pdf · doi:10.1016/j.physletb.2019.01.030

5 pages, 4 figures, published version

arxiv created 2019/01/25 · arxiv updated 2019/01/28

Abstract

Measurements of the cosmic microwave background (CMB) spectral y-distortion anisotropy offer a test for the statistical isotropy of the primordial density perturbations on 0.01\lesssim k\rm Mpc\lesssim 1. We compute the 1-point ensemble averages of the y-distortion anisotropies which vanish for the statistically isotropic perturbations. For the quadrupole statistical anisotropy, we find 4π⟨ y_2m⟩=-6.8A₂× 10^-9Y_2m(\mathbf d ) with the quadruple Legendre coefficient of the anisotropic powerspectrum A₂ and the ℓ=2 spherical harmonics Y_2m(\mathbf d ) for the preferred direction \mathbf d . Also, we discuss the cosmic variance of the y-distortion anisotropy in the statistically anisotropic Universe.

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