Implications of the cosmic infrared background excess for the cosmic star formation

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By phenomenologically describing the high-redshift star formation history, i.e., ρ*(z)∝[(1+z)/4.5]⁻α, and semi-analytically calculating the fractions of high-redshift Pop I/II and Pop III stars, we investigate the contributions from both high-redshfit Pop I/II and Pop III stars to the observed near-infrared (3 μ m<λ<5 μm) excess in the cosmic infrared background emission. In order to account for the observational level of the near-infrared excess, the power-law index α of the assumed star formation history is constrained to within the range of 0α1. Such a constraint is obtained under the condition that the virial temperature of dark matter halos belongs to the range of 500 K≤ T vir≤10⁴ K.