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An accurate fitting formula is reported for the two-point correlationfunction of the dark matter halos in hierarchical clustering models, It isvalid for the the linearly clustering regime, and its accuracy is about 10% inthe correlation amplitude for the halos with mass M greater than 1/100 --1/1000 of the characteristic non-linear mass M_c. The result is found on thebasis of a careful analysis for a large set of scale-free simulations with 17million particles. The fitting formula has a weak explicit dependence on theindex n of the initial power spectrum, but can be equally well applied to thecold dark matter (CDM) cosmological models if the effective index n_{eff} ofthe CDM power spectrum at the scale of the halo mass replaces the index n. Theformula agrees with the analytical formula of Mo & White (MW96) for massivehalos with M>M_c, but the MW96 formula significantly underpredicts thecorrelation for the less massive halos. The difference between the fitting andthe analytical formulae amounts to a factor => 2 in the correlation amplitudefor M=0.01 M_c. One of the most interesting applications of this fittingformula would be the clustering of galaxies since the majority of halos hostinggalaxies satisfies M<< M_c.Comment: minor revisions; accepted by ApJ (Letters) ; 11 pages with 3 figures  include

Accurate Fitting Formula for the Two-Point Correlation Function of Dark Matter Halos