We present a search for CO (3–2) emission in SDF-26821, a BzK-selected star-forming galaxy (sBzK) at z = 2.044, using the 45-m telescope of the Nobeyama Radio Observatory and the Nobeyama Millimeter Array. We do not detect significant emission and derive 2 σ limits: the CO luminosity of LCO < 3.1× 10 10 K km s pc, the ratio of far-infrared luminosity to CO luminosity of LFIR/LCO > 57 L⊙ (K km s...