THE PAIR FRACTION OF MASSIVE GALAXIES AT 0 ≤ z ≤ 3

Using a mass-selected (M-star >= 10(11) M-circle dot) sample of 198 galaxies at 0 <= z <= 3.0 with Hubble Space Telescope/NICMOS H-160-band images from the COSMOS survey, we find evidence for the evolution of the pair fraction above z similar to 2, an epoch in which massive galaxies are believed to undergo significant structural and mass evolution. We observe that the pair fraction of massive galaxies is 0.15 +/- 0.08 at 1.7 <= z <= 3.0, where galaxy pairs are defined as massive galaxies having a companion of flux ratio from 1:1 to 1:4 within a projected separation of 30 kpc. This is slightly lower but still consistent with the pair fraction measured previously in other studies, and the merger fraction predicted in halo-occupation modeling. The redshift evolution of the pair fraction is described by a power law F(z) = (0.07 +/- 0.04) x (1 + z)(0.6 +/- 0.5). The merger rate is consistent with no redshift evolution; however it is difficult to constrain due to the limited sample size and the high uncertainties in the merging timescale. Based on the merger rate calculation, we estimate that a massive galaxy undergoes on average 1.1 +/- 0.5 major mergers from z = 3 to 0. The observed merger fraction is sufficient to explain the number density evolution of massive galaxies, but insufficient to explain the size evolution. This is a hint that mechanism(s) other than major merging may be required to increase the sizes of the massive, compact quiescent galaxies from z similar to 2 to 0.