A Counts-in-Cells Analysis of Lyman-break Galaxies at z~3

Abstract

We have measured the counts-in-cells fluctuations of 268 Lyman-break galaxies with spectroscopic redshifts in six 9 arcmin by 9 arcmin fields at z~3. The variance of galaxy counts in cubes of comoving side length 7.7, 11.9, 11.4 h^{-1} Mpc is σ_{gal}^2 ~ 1.3\pm0.4 for Ω_M=1, 0.2 open, 0.3 flat, implying a bias on these scales of σ_{gal} / σ_{mass} = 6.0\pm1.1, 1.9\pm0.4, 4.0\pm0.7. The bias and abundance of Lyman-break galaxies are surprisingly consistent with a simple model of structure formation which assumes only that galaxies form within dark matter halos, that Lyman-break galaxies' rest-UV luminosities are tightly correlated with their dark masses, and that matter fluctuations are Gaussian and have a linear power-spectrum shape at z~3 similar to that determined locally (Γ~0.2). This conclusion is largely independent of cosmology or spectral normalization σ_8. A measurement of the masses of Lyman-break galaxies would in principle distinguish between different cosmological scenarios.