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Pearson’s random walk in the space of the CMB phases: Evidence for parity asymmetry

M. Hansen1, A. M. Frejsel1, J. Kim1, P. Naselsky1, and F. Nesti2

  • 1Niels Bohr Institute and DISCOVERY center, Blegdamsvej 17, 2100 Copenhagen, Ø, Denmark
  • 2University of Ferrara, Physics Department, v. Saragat 1, I-44100 Ferrara, Italy

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Phys. Rev. D 83, 103508 – Published 5 May, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.103508

Abstract

The temperature fluctuations of the cosmic microwave background (CMB) are supposed to be distributed randomly in both magnitude and phase, following to the simplest model of inflation. In this paper, we look at the odd and even multipoles of the spherical harmonic decomposition of the CMB, and the different characteristics of these, giving rise to a parity asymmetry. We compare the even and odd multipoles in the CMB power spectrum, and also the even and odd mean angles. We find for the multipoles of the power spectrum that there is power excess in odd multipoles, compared to even ones, meaning that we have a parity asymmetry. Further, for the phases, we present a random walk for the mean angles, and find a significant separation for even/odd mean angles, especially so for galactic coordinates. This is further tested and confirmed with a directional parity test, comparing the parity asymmetry in galactic and ecliptic coordinates.

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Phys. Rev. D 83, 103508– Published 5 May, 2011
  • Received 14 January 2011

© 2011 American Physical Society

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