General CMB bispectrum analysis using wavelets and separable modes

Abstract

In this paper we combine partial-wave (`modal') methods with a wavelet analysis of the CMB bispectrum. Our implementation exploits the advantages of both approaches to produce robust, reliable and efficient estimators which can constrain the amplitude of arbitrary primordial bispectra. This will be particularly important for upcoming surveys such as \emph{Planck}. A key advantage is the computational efficiency of calculating the inverse covariance matrix in wavelet space, producing an error bar which is close to optimal. We verify the efficacy and robustness of the method by applying it to WMAP7 data, finding $\fnllocal=38.4\pm 23.6$ and $\fnlequil=-119.2\pm123.6$.

19 pages, 6 figures

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Cited by in corpus (12)

• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• Features and New Physical Scales in Primordial Observables: Theory and Observation
• Planck 2013 results. XIX. The integrated Sachs-Wolfe effect
• Influence of large local and non-local bispectra on primordial black hole abundance
• The hemispherical asymmetry from a scale-dependent inflationary bispectrum
• A Simple Proposal for Radial 3D Needlets
• Constraining the WMAP9 bispectrum and trispectrum with needlets
• Non-Gaussian Shape Recognition
• The bispectrum of cosmic string temperature fluctuations including recombination effects
• Principal Components of CMB non-Gaussianity
• Optimal bispectrum constraints on single-field models of inflation
• Constraining the early universe with primordial black holes