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The Angular Trispectra of CMB Temperature and Polarization
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We develop the formalism necessary to study four-point functions of the cosmic microwave background (CMB) temperature and polarization fields. We determine the general form of CMB trispectra, with the constraints imposed by the assumption of statistical isotropy of the CMB fields, and derive expressions for their estimators, as well as their Gaussian noise properties. We apply these techniques to initial non-Gaussianity of a form motivated by inflationary models. Due to the large number of four-point configurations, the sensitivity of the trispectra to initial non-Gaussianity approaches that of the temperature bispectrum at high multipole moment. These trispectra techniques will also be useful in the study of secondary anisotropies induced for example by the gravitational lensing of the CMB by the large scale structure of the universe.
Forward citations
Cited by 4 Pith papers
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Probing Parity Violation with Weak Lensing Trispectrum
A parity-odd weak lensing convergence trispectrum is derived and forecast to be detectable with DES Y3/LSST Y10-like surveys under optimistic template amplitudes.
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Isotropy, anisotropies and non-Gaussianity in the scalar-induced gravitational-wave background: diagrammatic approach for primordial non-Gaussianity up to arbitrary order
Extends diagrammatic approach for scalar-induced gravitational waves to arbitrary-order local PNG, deriving semi-analytic spectra for energy density, anisotropies, bispectrum and trispectrum up to quartic terms.
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CMB Lensing Trispectrum as a Probe of Parity Violation in LSS
The CMB lensing trispectrum is sensitive to parity violation in large-scale structure, and a parity-odd toy model predicts a detectable signal in idealized noiseless forecasts.
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Searching for Inflationary Physics with the CMB Trispectrum: 3. Constraints from Planck
A comprehensive Planck PR4 trispectrum analysis finds no primordial non-Gaussianity across 33 templates and sets leading constraints, including tau_NL loc < 1500 at 95% CL.
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