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The Bispectrum and the Trispectrum of the Ostriker and Vishniac Effect

P. G. Castro
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Abstract

We present analytical expressions for the Fourier analog of the CMB three-point and four-point correlation functions, the spatial bispectrum and trispectrum, of the Ostriker and 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 vector-like properties through the Limber approximation. Finally we discuss its configuration dependence and detectability in the context of Gaussian theories for the currently favored flat Lambda CDM cosmology.

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P. G. Castro. 2004-07-12. The Bispectrum and the Trispectrum of the Ostriker and Vishniac Effect. https://doi.org/10.1103/physrevd.67.044039%2010.1103%2Fphysrevd.70.049902

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