Constraining the WMAP9 bispectrum and trispectrum with needlets
arXiv:1310.8617 · doi:10.1088/1475-7516/2015/01/013
Abstract
We develop a needlet approach to estimate the amplitude of general (including non-separable) bispectra and trispectra in the cosmic microwave background, and apply this to the WMAP 9-year data. We obtain estimates for the `orthogonal' bispectrum mode, yielding results which are consistent with the WMAP 7-year data. We do not observe the frequency-dependence suggested by the WMAP team's analysis of the 9-year data. We present 1- constraints on the `local' trispectrum shape $\gnl/10^5= -4.1\pm 2.3$, the `' equilateral model $\gnl^{c_1}/10^6= -0.8\pm 2.9$, and the constant model $\gnl^{\rm{const}}/10^6= -0.2\pm 1.8$, together with a confidence-level upper bound on the multifield local parameter $\taunl<22000$. We estimate the bias on these parameters produced by point sources. The techniques developed in this paper should prove useful for other datasets such as Planck.
21 pages - matches published version
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