Cosmological Three-Point Function: Testing The Halo Model Against Simulations

Abstract

We perform detailed comparison of the semi-analytic halo model predictions with measurements in numerical simulations of the two and three point correlation functions (3PCF), as well as power spectrum and bispectrum. We discuss the accuracy and self-consistency of the halo model description of gravitational clustering in the non-linear regime and constrain halo model parameters. We exploit the recently proposed multipole expansion of three point statistics that expresses rotation invariance in the most natural way. This not only offers technical advantages by reducing the integrals required for the halo model predictions, but amounts to a convenient way of compressing the information contained in the 3PCF. We find that, with an appropriate choice of the halo boundary and mass function cut-off, halo model predictions are in good agreement with the bispectrum measured in numerical simulations. However, the halo model predicts less than the observed configuration dependence of the 3PCF on ∼ Mpc scales. This effect is mainly due to quadrupole moment deficit, possibly related to the assumption of spherical halo geometry. Our analysis shows that using its harmonic decomposition, the full configuration dependence of the 3PCF in the non-linear regime can be compressed into just a few numbers, the lowest multipoles. Moreover, these multipoles are closely related to the highest signal to noise eigenmodes of the 3PCF. Therefore this estimator may simplify future analyses aimed at constraining cosmological and halo model parameters from observational data. Subject headings: cosmology: theory — large-scale structure of universe — methods: statistical — numerical Institute for Astronomy, University of Hawaii, 2680 Woodlawn Dr, Honolulu, HI 96822, USA Instituto de Ciencias del Espacio (IEEC/CSIC), Facultat de Ciencies UAB, Torre C5 -par2a planta, 08193 Bellaterra (Cerdanyola), SPAIN School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, UK

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Cite this paper

@inproceedings{Fosalba2005CosmologicalTF, title={Cosmological Three-Point Function: Testing The Halo Model Against Simulations}, author={Pablo Fosalba and Jun Pan and Istvan Szapudi}, year={2005} }