2009ApJ...704L..34C

We measured stellar velocity dispersions σ and derived dynamical masses of nine massive (M ~ 10¹¹ M_☉) early-type galaxies (ETGs) from the Galaxy Mass Assembly ultra-deep Spectroscopic Survey (GMASS) sample at redshift 1.4 ≲ z ≲ 2.0. The σ are based on individual spectra for two galaxies at z ~ 1.4 and on a stacked spectrum for seven galaxies with 1.6 < z < 2.0, with 202 hr of exposure at the ESO Very Large Telescope. We constructed detailed axisymmetric dynamical models for the objects, based on the Jeans equations, taking the observed surface brightness (from deep HST/ACS observations), point-spread function, and slit effects into account. Our dynamical masses M_Jeans agree within ≲30% with virial estimates M_vir= 5xR_eσ²/G, although the latter tend to be smaller. Our M_Jeans also agrees within a factor ≲2 with the M_pop previously derived using stellar population models and 11 bands photometry. This confirms that the galaxies are intrinsically massive. The inferred mass-to-light ratios (M/L)_U in the very age-sensitive rest-frame U band are consistent with passive evolution in the past ∼1 Gyr (formation redshift z_f∼ 3). A "bottom-light" stellar initial mass function appears to be required to ensure close agreement between M_Jeans and M_popat z ∼ 2, as it does at z ∼ 0. The GMASS ETGs are on average more dense than their local counterpart. However, a few percent of local ETGs of similar dynamical masses also have comparable σ and mass surface density Σ₅₀ inside R_e.