We present detailed clustering analysis of a large K-band selected local galaxy sample , which is constructed from the 2MASS and the SDSS and consists of 82 , 486 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 a power law \xi ( r ) = ( r / 6.44 \pm 0.23 ) ^ { -1.81 \pm 0.02 } .
The pairwise velocity dispersion is derived from the anisotropic two-point correlation function and find the dispersion \sigma _ { 12 } = 685 \pm 17 { km s ^ { -1 } } if its scale invariance is assumed , which is larger than values measured in optical bands selected galaxy samples .
We further investigate the dependence of the two-point correlation function and the \sigma _ { 12 } on the g - r color and the K -band luminosity , obtain similar results to previous works in optical bands .
Comparing a mock galaxy sample with our real data indicates that the semi-analytical model can not mimic the \sigma _ { 12 } in observation albeit it can approximate the two-point correlation function within measurement uncertainties .