Primordial Black Hole as Dark matter with γ-ray emissions

Primordial black holes (PBHs) as a dark matter (DM) candidate become popular again recently. Through their Hawking radiation, we can analyze their signal by gamma-ray emissions. Our work focuses on cross-correlating the MeV gamma-ray emissions and the cosmic microwave background shear to projectedly constrain the fraction of PBHs as DM. Near-future data can provide a tight constraint on the fraction of the Schwarzschild PBHs in the mass range around 10(17) g, like CMB-S4 project and the gamma-ray telescope e-ASTROGAM. Some astrophysical sources also contributed to the observed emission in the MeV energy band. Furthermore, the constraining ability can be improved by another order of magnitude when taking the PBHs model with spins into account. This technology with proper coming data could importantly fill the gaps with PBHs fraction limits in the asteroid mass range.