The Bispectrum and the Trispectrum of the Ostriker and Vishniac Effect

Details The Bispectrum and the Trispectrum of the Ostriker and Vishniac Effect The Bispectrum and the Trispectrum of the Ostriker and Vishniac Effect

2002-12-20

arxiv.org/abs/astro-ph/0212500v4

Phys.Rev. D67 (2004) 044039; Erratum-ibid. D70 (2004) 049902

Astronomy and Astrophysics

Astrophysics

22 pages, 6 figures. Version corrected from the original manuscript published in Phys.Rev.D67 [2003] with an accepted erratum

Scientific paper

10.1103/PhysRevD.67.123001

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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