The integrated angular bispectrum

Abstract

We study the position-dependent power spectrum and the integrated bispectrum statistic for 2D cosmological fields on the sphere (integrated angular bispectrum). First, we derive a useful, $m$-independent, formula for the full-sky integrated angular bispectrum, based on the construction of azimuthally symmetric patches. We then implement a pipeline for integrated angular bispectrum estimation, including a mean-field correction to account for spurious isotropy-breaking effects in realistic conditions (e.g., inhomogenous noise, sky masking). Finally, we show examples of applications of this estimator to CMB analysis, both using simulations and actual Planck data. Such examples include $f_{\mathrm{NL}}$ estimation, analyses of non-Gaussianity from secondary anisotropies (ISW-lensing and ISW-tSZ-tSZ bispectra) and studies of non-Gaussian signatures from foreground contamination.

38 pages, 14 figures

References in corpus (5)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Position-dependent power spectrum of the large-scale structure: a novel method to measure the squeezed-limit bispectrum
• Statistical properties of dust far-infrared emission
• On the linear term correction for needlets/wavelets non-Gaussianity estimators
• The Integrated Bispectrum and Beyond

Cited by in corpus (8)

• The integrated 3-point correlation function of cosmic shear
• Signatures of primordial black holes in gravitational wave clustering
• Biases to primordial non-Gaussianity measurements from CMB secondary anisotropies
• The integrated angular bispectrum of weak lensing
• Revisiting the large-scale CMB anomalies: The impact of the SZ signal from the Local Universe
• Position-Dependent Correlation Function of Weak Lensing Convergence
• Constraints on primordial non-Gaussianity from Planck PR4 data
• Hard Probes in Ultraperipheral Collisions at LHCb