Clustering of K-band selected local galaxies

We present a detailed clustering analysis of a large K-band selected local galaxy sample, which is constructed from the 2MASS and the SDSS and consists of 82486 galaxies with 10 〈 K 〈 13.5 and 0.01 〈 z 〈 0.1. The two-point correlation function of the magnitude-limited sample in real space at small scales is well described by the power law ∈（r） = （r/6.44 ± 0.23）^-1.81±0.02. The pairwise velocity dispersion is derived from the anisotropic two-point correlation function and we find the dispersion δ12 = 685 ± 17 kms^-1 if scale invariance is assumed, which is larger than values measured in the optical bands of the selected galaxy samples. We further investigate the dependence of the two-point correlation function and the δ12 on the g- r color and the K- band luminosity, and obtain similar results to previous works in optical bands. Comparing a mock galaxy sample with our real data indicates that the semi-analytical model cannot mimic the δ12 in observation, although it can approximate the two-point correlation function within measurement uncertainties.