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Three‐Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis

  • Authors: L. Page, G. Hinshaw, E. Komatsu, M. R. Nolta, D. N. Spergel, C. L. Bennett, C. Barnes, R. Bean, O. Doré, J. Dunkley, M. Halpern, R. S. Hill, N. Jarosik, A. Kogut, M. Limon, S. S. Meyer, N. Odegard, H. V. Peiris, G. S. Tucker, L. Verde, J. L. Weiland, E. Wollack, and E. L. Wright

Page et al. 2007 The Astrophysical Journal Supplement Series 170 335.

  • Provider: AAS Journals

Caption: Fig. 27.

Two‐dimensional likelihood as a function of ﹩\tilde{\tau }﹩ and ﹩\tilde{r}﹩ for the BB spectrum. The contours indicate 1 σ and 2 σ. The ﹩n_{s}﹩ parameter, which is degenerate with τ and r, has been set at ﹩n_{s}=0.96﹩. For the lightest contours, the tensor contribution to TT, TE, and EE is ignored. Because τ is fully degenerate with r when the data are restricted to just BB, the limit is poor. The orange contours show the result when the TE and EE contributions are included, breaking the ﹩r-\tau ﹩ degeneracy. The bluish contours show the result of including all data. The limit on r is more restrictive than in Spergel et al. (2007) because ﹩n_{s}﹩ is fixed. When we marginalize over ﹩\tilde{\tau }﹩, the 95% upper limits on ﹩\tilde{r}﹩ are 4.5, 2.2, and 0.27 for the three cases, respectively. The plot shows that WMAP’s ability to constrain r does not yet come from the BB data. The plot also shows that WMAP’s ability to limit r depends critically on τ.

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