Bayesian estimation of our local motion from the Planck-2018 CMB temperature map

Abstract

The largest fluctuation in the CMB sky is the CMB dipole, which is believed to be caused by the motion of our observation frame with respect to the CMB rest frame. This motion accounts for the known motion of the Solar System barycentre with a best-fit amplitude of $369$ km/s, in the direction ($\ell =264^{\circ }$, $b=48^{\circ }$) in galactic coordinates. Along with the CMB dipole signal, this motion also causes an inevitable signature of statistical anisotropy in the higher multipoles due to the modulation and aberration of the CMB temperature and polarization fields. This leads to a correlation between adjacent CMB multipoles causing a non-zero value of the off-diagonal terms in the covariance matrix which can be captured in terms of the dipolar spectra of the bipolar spherical harmonics (BipoSH). In our work, we jointly infer the CMB power spectrum and the BipoSH spectrum in a Bayesian framework using the $\text{Planck}$-2018 $\text{SMICA}$ temperature map. We detect amplitude and direction of the local motion consistent with the canonical value $v=369$ km/s inferred from CMB dipole with a statistical significance of $4.54\sigma$, $4.97\sigma$ and $5.23\sigma$ respectively from the masked temperature map with the available sky fraction $40.1\%$, $59.1\%$, and $72.2\%$, confirming the common origin of both the signals. The Bayes factor in favor of the canonical value is between $7$ to $8$ depending on the choice of mask. But it strongly disagrees (by a value of the Bayes factor about $10^{-10}-10^{-11}$) with a higher value of local motion which one can infer from the amplitude of the dipole signal obtained from the CatWISE2020 quasar catalog using the WISE and NEOWISE data set.

23 pages, 7 figures, 1 table; matches with the accepted version

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• Peculiar motion of Solar system from the Hubble diagram of supernovae Ia and its implications for cosmology
• Disentangling Doppler modulation, aberration and the temperature dipole in the CMB
• Euclid: Testing the Copernican principle with next-generation surveys
• Aberration of gravitational waveforms by peculiar velocity
• Statistical effects of the observer's peculiar velocity on source number counts
• Peculiar velocity effects on the Hubble constant from time-delay cosmography
• The Kaiser-Rocket effect: three decades and counting