The 2dF Galaxy Redshift Survey: higher-order galaxy correlation functions

Croton, D. J. ; Gaztañaga, E. ; Baugh, C. M. ; Norberg, P. ; Colless, M. ; Baldry, I. K. ; Bland-Hawthorn, J. ; Bridges, T. ; Cannon, R. ; Cole, S. ; Collins, C. ; Couch, W. ; Dalton, G. ; De Propris, R. ; Driver, S. P. ; Efstathiou, G. ; Ellis, R. S. ; Frenk, C. S. ; Glazebrook, K. ; Jackson, C. ; Lahav, O. ; Lewis, I. ; Lumsden, S. ; Maddox, S. ; Madgwick, D. ; Peacock, J. A. ; Peterson, B. A. ; Sutherland, W. ; Taylor, K.

In: Monthly Notices of the Royal Astronomical Society, 2004, vol. 352, no. 4, p. 1232-1244

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    We measure moments of the galaxy count probability distribution function in the Two-degree Field Galaxy Redshift Survey (2dFGRS). The survey is divided into volume-limited subsamples in order to examine the dependence of the higher-order clustering on galaxy luminosity. We demonstrate the hierarchical scaling of the averaged p-point galaxy correlation functions, , up to p= 6. The hierarchical amplitudes, , are approximately independent of the cell radius used to smooth the galaxy distribution on small to medium scales. On larger scales we find that the higher-order moments can be strongly affected by the presence of rare, massive superstructures in the galaxy distribution. The skewness S3 has a weak dependence on luminosity, approximated by a linear dependence on log luminosity. We discuss the implications of our results for simple models of linear and non-linear bias that relate the galaxy distribution to the underlying mass