Bispectrum and the trispectrum of the Ostriker-Vishniac effect

Details Bispectrum and the trispectrum of the Ostriker-Vishniac effect Bispectrum and the trispectrum of the Ostriker-Vishniac effect

Jun 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003phrvd..67l3001c&link_type=abstract

Physical Review D, vol. 67, Issue 12, id. 123001

Statistics

15

Background Radiations

Scientific paper

We present analytical expressions for the Fourier analogue of the cosmic microwave background three-point and four-point correlation functions, the spatial bispectrum and trispectrum, of the Ostriker-Vishniac effect in the linear and mildly nonlinear regime. Through this systematic study, we illustrate a technique to tackle the calculation of such statistics making use of the effects of its small-angle and vectorlike properties through the Limber approximation. Finally we discuss its configuration dependence and detectability in the context of Gaussian theories for the currently favored flat ΛCDM cosmology.

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