The Contribution of Star Formation and Merging to Stellar Mass Buildup in Galaxies

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We present a formalism to reveal merging by subtracting the change in the galaxy stellar mass function (MF) due to mass-dependent star formation (SF) from the observed time derivative of the MF tep{DA08}. We present the SF rate (SFR) in the Fors Deep Field as a function of stellar mass and time spanning 9 < log M_ast < 12 and 0 3, the average SFR is a power law of stellar mass (dot{M}_ast ∝ M_ast^{0.6}). The average SFR in massive objects at this redshift is 100 - 500 M_&sun; yr^{-1}. At z ˜ 3, the SFR starts to drop at high masses. The break mass at which the SFR deviates from the power-law form decreases smoothly from log M_ast^1 > 13 at z˜ 5 to log M_ast^1 ˜ 10.9 at z˜ 0.5, according to M_ast^1(z) = 2.7× 10^{10} (1+z)^{2.1} (downsizing). The SFR in high-mass galaxies at z ˜ 4 can explain their rapid increase in abundance. Within large uncertainties, at most 0.8 effective major mergers per Gyr are consistent with the data, yet enough to transform most high-mass objects into ellipticals contemporaneously with their major SF episode. In contrast, at z < 1.5 and at
M_ast > 11, mergers contribute 0.1 - 0.2 Gyr^{-1} to the increase in number density. This corresponds to ˜ 1 major merger per object at 1.5 > z > 0. At 10 < log M_ast < 11, galaxies are being preferentially destroyed at early times, while at later times the change in their numbers turns positive. This is an indication of the top-down buildup of the red sequence suggested by other recent observations.

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