Dust-obscured galaxies ( DOGs ) are a UV-faint , infrared-bright galaxy population that reside at z \sim 2 and are believed to be in a phase of dusty star-forming and AGN activity .
We present far-infrared ( far-IR ) observations of a complete sample of DOGs in the 2 deg ^ { 2 } of the Cosmic Evolution Survey ( COSMOS ) .
The 3077 DOGs have \langle z \rangle = 1.9 \pm 0.3 and are selected from 24 \mu m and r ^ { + } observations using a color cut of r ^ { + } - [ 24 ] \geq 7.5 ( AB mag ) and S _ { 24 } \geq 100 \mu Jy .
Based on the near-IR spectral energy distributions , 47 % are bump DOGs ( star-formation dominated ) and 10 % are power-law DOGs ( AGN-dominated ) .
We use SPIRE far-IR photometry from the Herschel Extragalactic Multi-tiered Survey ( HerMES ) to calculate the IR luminosity and characteristic dust temperature for the 1572 ( 51 % ) DOGs that are detected at 250 \mu m ( \geq 3 \sigma ) .
For the remaining 1505 ( 49 % ) that are undetected , we perform a median stacking analysis to probe fainter luminosities . Herschel -detected and undetected DOGs have average luminosities of ( 2.8 \pm 0.4 ) \times 10 ^ { 12 } \text { L } _ { \odot } and ( 0.77 \pm 0.08 ) \times 10 ^ { 12 } \text { L } _ { \odot } , and dust temperatures of ( 33 \pm 7 ) K and ( 37 \pm 5 ) K , respectively .
The IR luminosity function for DOGs with S _ { 24 } \geq 100 \mu Jy is calculated , using far-IR observations and stacking .
DOGs contribute 10 - 30 \% to the total star formation rate density of the Universe at z = 1.5 - 2.5 , dominated by 250 \mu m detected and bump DOGs .
For comparison , DOGs contribute 30 \% to the star-formation rate density for all z = 1.5 - 2.5 galaxies with S _ { 24 } \geq 100 \mu Jy .
DOGs have a large scatter about the star-formation main sequence and their specific star-formation rates show that the observed phase of star-formation could be responsible for their total observed stellar mass at z \sim 2 .