Abstract
We present a detailed analysis of the two-point correlation function, from
the 2dF Galaxy Redshift Survey (2dFGRS). We estimate the redshift-space
correlation function, xi(s), from which we measure the redshift-space
clustering length, s_0=6.82+/-0.28 Mpc/h. We also estimate the projected
correlation function, Xi(sigma), and the real-space correlation function,
xi(r), which can be fit by a power-law, with r_0=5.05+/-0.26Mpc/h,
gamma_r=1.67+/-0.03. For r>20Mpc/h, xi drops below a power-law as is expected
in the popular LCDM model. The ratio of amplitudes of the real and
redshift-space correlation functions on scales of 8-30Mpc/h gives an estimate
of the redshift-space distortion parameter beta. The quadrupole moment of xi on
scales 30-40Mpc/h provides another estimate of beta. We also estimate the
distribution function of pairwise peculiar velocities, f(v), including
rigorously the effect of infall velocities, and find that it is well fit by an
exponential. The accuracy of our xi measurement is sufficient to constrain a
model, which simultaneously fits the shape and amplitude of xi(r) and the two
redshift-space distortion effects parameterized by beta and velocity
dispersion, a. We find beta=0.49+/-0.09 and a=506+/-52km/s, though the best fit
values are strongly correlated. We measure the variation of the peculiar
velocity dispersion with projected separation, a(sigma), and find that the
shape is consistent with models and simulations. Using the constraints on bias
from recent estimates, and taking account of redshift evolution, we conclude
that beta(L=L*,z=0)=0.47+/-0.08, and that the present day matter density of the
Universe is 0.3, consistent with other 2dFGRS estimates and independent
analyses.
Users
Please
log in to take part in the discussion (add own reviews or comments).