INCREASING EVIDENCE FOR HEMISPHERICAL POWER ASYMMETRY IN THE FIVE-YEAR WMAP DATA
- Institute of Theoretical Astrophysics, University of Oslo, P.O. Box 1029 Blindern, N-0315 Oslo (Norway)
- Centre d'Etude Spatiale des Rayonnements, 9, av du Colonel Roche, BP 44346, 31028 Toulouse Cedex 4 (France)
Motivated by the recent results of Hansen et al. concerning a noticeable hemispherical power asymmetry in the Wilkinson Microwave Anisotropy Probe (WMAP) data on small angular scales, we revisit the dipole-modulated signal model introduced by Gordon et al.. This model assumes that the true cosmic microwave background signal consists of a Gaussian isotropic random field modulated by a dipole, and is characterized by an overall modulation amplitude, A, and a preferred direction, p-hat. Previous analyses of this model have been restricted to very low resolution (i.e., 3.{sup 0}6 pixels, a smoothing scale of 9 deg. FWHM, and l {approx}< 40) due to computational cost. In this paper, we double the angular resolution (i.e., 1.{sup 0}8 pixels and 4.{sup 0}5 FWHM smoothing scale), and compute the full corresponding posterior distribution for the five-year WMAP data. The results from our analysis are the following: the best-fit modulation amplitude for l {<=} 64 and the ILC data with the WMAP KQ85 sky cut is A = 0.072 {+-} 0.022, nonzero at 3.3{sigma}, and the preferred direction points toward Galactic coordinates (l, b) = (224 deg., - 22 deg.) {+-} 24 deg. The corresponding results for l {approx}< 40 from earlier analyses were A = 0.11 {+-} 0.04 and (l, b) = (225 deg. - 27 deg.). The statistical significance of a nonzero amplitude thus increases from 2.8{sigma} to 3.3{sigma} when increasing l{sub max} from 40 to 64, and all results are consistent to within 1{sigma}. Similarly, the Bayesian log-evidence difference with respect to the isotropic model increases from {delta}ln E = 1.8 to {delta}ln E = 2.6, ranking as 'strong evidence' on the Jeffreys' scale. The raw best-fit log-likelihood difference increases from {delta}ln L = 6.1 to {delta}ln L = 7.3. Similar, and often slightly stronger, results are found for other data combinations. Thus, we find that the evidence for a dipole power distribution in the WMAP data increases with l in the five-year WMAP data set, in agreement with the reports of Hansen et al.
- OSTI ID:
- 21333781
- Journal Information:
- Astrophysical Journal, Vol. 699, Issue 2; Other Information: DOI: 10.1088/0004-637X/699/2/985; Country of input: International Atomic Energy Agency (IAEA); ISSN 0004-637X
- Country of Publication:
- United States
- Language:
- English
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