Search for Hyper Infrared-Luminous Dust Obscured Galaxies selected with
  WISE and SDSS
  We aim to search for hyperliminous infrared (IR) galaxies (HyLIRGs) with IR
luminosity $L_{{\rm IR}}$ $>$ 10$^{13}$ $L_{\odot}$ by applying the selection
method of Dust Obscured Galaxies (DOGs). They are spatially rare but could
correspond to a maximum phase of cosmic star formation and/or active galactic
nucleus (AGN) activity, hence they are a crucial population for understanding
the star formation and mass assembly history of galaxies. Combining the optical
and IR catalogs obtained from Sloan Digital Sky Survey (SDSS) and Wide-field
Infrared Survey Explorer (WISE), we performed the extensive HyLIRGs survey; we
selected 5,311 IR-bright DOGs with $i$ -- [22] $>$ 7.0 and flux at 22 $\mu$m
$>$ 3.8 mJy in 14,555 deg$^2$, where $i$ and [22] are $i$-band and 22 $\mu$m AB
magnitudes, respectively. Among them, 67 DOGs have reliable spectroscopic
redshifts that enable us to estimate their total IR luminosity based on the SED
fitting. Consequently, we successfully discovered 24 HyLIRGs among the 67
spectroscopically-confirmed DOGs. We found that (i) $i$ - [22] color of
IR-bright DOGs correlates with the total IR luminosity and (ii) surface number
density of HyLIRGs is $>$ 0.17 deg$^{-2}$. A high fraction ($\sim$ 73%) of
IR-bright DOGs with $i$ - [22] $>$ 7.5 shows $L_{{\rm IR}}$ $>$ 10$^{13}$
$L_{\odot}$, and the DOGs criterion we adopted could be independently-effective
against "W1W2-dropout method" based on four WISE bands, for searching hyper IR
luminous populations of galaxies.
