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(abridged) We present a large sample of z~3 U- band dropout galaxiesextracted from the Canada-France deep fields survey (CFDF). Our cataloguecovers an effective area of ~1700 arcmin^2 divided between three large,contiguous fields separated widely on the sky. To IAB=24.5, the survey contains1294 Lyman-break candidates, in agreement with previous measurements by otherauthors. Based on comparisons with spectroscopic observations and simulations,we estimate that our sample of Lyman-break galaxies is contaminated by starsand interlopers at no more than ~30%. We find that \omega(\theta) is wellfitted by a power-law of fixed slope, \gamma=1.8, even at small (\theta<10'')angular separations. In two of our three fields, we are able to fitsimultaneously for both the slope and amplitude and find a slope \gamma ~ 1.81.Our data marginally indicates in one field (at a 3 \sigma level) that theLyman-break correlation length r_0 depends on sample limiting magnitude:brighter Lyman-break galaxies are more clustered than fainter ones. For theentire CFDF sample, assuming a fixed slope \gamma = 1.8 we find r_0 =(5.9\pm0.5)h^{-1} Mpc. Using these clustering measurements and prediction forthe dark matter density field, we derive a linear bias of b = 3.5 +/- 0.3.Finally we show that the dependence of the correlation length with the surfacedensity of Lyman-break galaxies is in good agreement with a simple picturewhere more luminous galaxies are hosted by more massive dark matter halos witha simple one-to-one correspondence.Comment: 18 pages including 11 postscript figures. Accepted to A&

The Canada-France deep fields survey–II: Lyman-break galaxies and galaxy clustering atz $\mathsf{\sim3}$