We utilize a Bayesian approach to fit the observed mid-IR-to-submm/mm spectral energy distributions ( SEDs ) of 22 WISE -selected and submm-detected , hyperluminous hot dust-obscured galaxies ( Hot DOGs ) , with spectroscopic redshift ranging from 1.7 to 4.6 .
We compare the Bayesian evidence of torus plus a gray body ( Torus+GB ) model with that of a torus-only ( Torus ) model and find that the Torus+GB model has the higher Bayesian evidence for all 22 Hot DOGs than the torus-only model , which represents strong evidence in favor of the Torus+GB model .
By adopting the Torus+GB model , we decompose the observed IR SEDs of Hot DOGs into torus and cold dust components .
The main results are : 1 ) Hot DOGs in our submm-detected sample are hyperluminous ( L _ { IR } \geq 10 ^ { 13 } L _ { \odot } ) , with torus emission dominating the IR energy output .
However , cold dust emission is non-negligible , averagely contributing \sim 24 \% of total IR luminosity .
2 ) Compared to QSO and starburst SED templates , the median SED of Hot DOGs shows the highest luminosity ratio between mid-IR and submm at rest-frame , while it is very similar to that of QSOs at \sim 10 - 50 \mu m suggesting that the heating sources of Hot DOGs should be buried AGNs .
3 ) Hot DOGs have both high dust temperatures ( T _ { dust } \sim 72 K ) and IR luminosity of cold dust .
The T _ { dust } - L _ { IR } relation of Hot DOGs suggests that the increase in IR luminosity for Hot DOGs is mostly due to the increase of the dust temperature , rather than dust mass .
Hot DOGs have lower dust masses than those of submillimeter galaxies ( SMGs ) and QSOs within the similar redshift range .
Both high IR luminosity of cold dust and relatively low dust mass in Hot DOGs can be expected by their relatively high dust temperatures .
4 ) Hot DOGs have high dust covering factors , which deviate the previously proposed trend of the dust covering factor decreasing with increasing bolometric luminosity .
Finally , we can reproduce the observed properties in Hot DOGs by employing a physical model of galaxy evolution .
The result suggests that Hot DOGs may lie at or close to peaks of both star formation and black hole growth histories , and represent a transit phase during the evolution of massive galaxies , transforming from the dusty starburst dominated phase to the optically bright QSO phase .