The cosmic infrared background (CIB) is the accumulated infrared (IR) radiation mainly
from interstellar dust heated up by early stars. In this work, we measure the cross-correlation
between galaxies from the unWISE catalog and the CIB maps from the Planck satellite
to simultaneously constrain the cosmic star formation rate (SFR), dust spectral energy
distribution (SED), and the halo occupation distribution (HOD). The unWISE galaxy catalog
is divided into three tomographic bins centered at z ∼ 0.6, 1.1, 1.5, and the CIB maps are at
353, 545, and 857 GHz. We measure the cross-correlations between these galaxy samples and CIB maps
and get a 194σ signal within an angular scale 100<ℓ<2000, from which we constrain two
CIB halo models from previous literature and one new model. The SFR, SED, and HOD model parameters
are constrained consistently among the three models. Specifically, the dust temperature at z = 0
is constrained T
0 = 21.14+1.02
-1.34 K, which is slightly lower than T
0 = 24.4±1.9 K measured by the Planck collaboration. The halo mass that gives the most efficient star
formation is around 1011.79+0.73
-0.86
M
⊙. From the model parameters, combined
with the SFR density at z = 0 synthesized from multi-wavelength observations, we break the
degeneracy between SED and SFR and recover the cosmic star formation history that is consistent
with multi-wavelength surveys. We also constrain the graybody SED model in agreement with previous
measurements from infrared flux stacking. From the HOD constraints, we derive an increasing trend
of galaxy linear bias along redshifts that agrees with the results from cross- and
auto-correlation with unWISE galaxies. This study indicates the power of using CIB-galaxy
cross-correlation to study star formation, dust, and abundance of galaxies across cosmic time.