Reanalysis of the MACHO constraints on PBH in the light of Gaia DR3 data

The recent astrometric data of hundreds of millions of stars from Gaia DR3 has allowed a precise determination of the Milky Way rotation curve up to 28 kpc. The data suggests a rapid decline in the density of dark matter beyond 19 kpc. We fit the whole rotation curve with four components (gas, disk, bulge and halo) and compute the microlensing optical depth to the Large Magellanic Cloud (LMC). With this model of the galaxy we reanalize the microlensing events of the MACHO and EROS-2 Collaborations. Using their published efficiency function for the duration of their surveys, together with the rate of expected events according to the new density profile, we find that the Dark Matter halo could be composed up to 100% of massive compact halo objects (MACHOs) for any mass between 0.001 to 100 M_⊙, except a narrow range around 0.3 M_⊙, where it cannot be larger than ∼30%. This result assumes that MACHOs have all the same mass. If these were distributed in an extended mass function like that of the Thermal History Model, the constraints are weakened, allowing 100% of all DM in the form of Primordial Black Holes.