Mixed three-point correlation functions of the nonlinear integrated Sachs-Wolfe effect and their detectability

Details Mixed three-point correlation functions of the nonlinear integrated Sachs-Wolfe effect and their detectability Mixed three-point correlation functions of the nonlinear integrated Sachs-Wolfe effect and their detectability

2008-03-07

arxiv.org/abs/0803.1095v1

Mon.Not.Roy.Astron.Soc.388:1394-1402,2009

Astronomy and Astrophysics

Astrophysics

9 pages, 9 figures, 2 tables, submitted to MNRAS

Scientific paper

10.1111/j.1365-2966.2008.13526.x

In this paper I investigate the family of mixed three-point correlation functions , q=0,1,2, between the integrated Sachs-Wolfe (iSW) temperature perturbation tau and the galaxy overdensity gamma as a tool for detecting the gravitational interaction of cosmic microwave background (CMB) photons with the potentials of nonlinearly evolving cosmological structures. Both the iSW-effect as well as the galaxy overdensity are derived in hyper-extended perturbation theory to second order and I emphasise the different parameter sensitivities of the linear and non-linear iSW-effect. I examine the configuration dependence of the relevant bispectra, quantify their sensitivities and discuss their degeneracies with respect to the cosmological parameters Omega_m, sigma_8, h and the dark energy equation of state parameter $w$. I give detection sigificances for combining PLANCK CMB data and the DUNE galaxy sample, by using a quadratic approximation for the likelihood with LambdaCDM as the fiducial cosmology: The combination of PLANCK with DUNE should be able to reach a cumulative signal to noise ratio of ~0.6sigma for the bispectrum up to l=2000, where the most important noise source are the primary CMB fluctuations.

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