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We reassess the galaxy size-mass relation out to z~3 using a new definitionof size and a sample of >29,000 galaxies from the 3D-HST, CANDELS, andCOSMOS-DASH surveys. Instead of the half-light radius r_50 we use r_80, theradius containing 80% of the stellar light. We find that the r_80 -- M_starrelation has the form of a broken power law, with a clear change of slope at apivot mass M_p. Below the pivot mass the relation is shallow (r_80 \proptoM_star^0.15) and above it it is steep (r_80\propto M_star^0.6). The pivot massincreases with redshift, from log(M_p/M_sun)~ 10.2 at z=0.4 to log(M_p/M_sun)~10.9 at z=1.7-3. We compare these r_80-M_star relations to the M_halo-M_starrelations derived from galaxy-galaxy lensing, clustering analyses, andabundance matching techniques. Remarkably, the pivot stellar masses of bothrelations are consistent with each other at all redshifts, and the slopes arevery similar both above and below the pivot when assuming M_halo \proptor_80^3. The implied scaling factor to relate galaxy size to halo size is r_80 /R_vir = 0.047, independent of stellar mass and redshift.From redshift 0 to 1.5,the pivot mass also coincides with the mass where the fraction of star-forminggalaxies is 50%, suggesting that the pivot mass reflects a transition fromdissipational to dissipationless galaxy growth. Finally, our results imply thatthe scatter in the stellar-to-halo mass ratio is relatively small for massivehalos (~0.2 dex for M_halo>10^12.5 M_sun).

the astrophysical journal. letters

A mass-dependent slope of the galaxy size-mass relation out to z~3:  further evidence for a direct relation between median galaxy size and median  halo mass