Photometric Classification of Stars Around the Milky Way's Central Black Hole: I. Central Parsec

The presence of young massive stars in the Galactic Centre (GC) raises questions about star formation near the black hole Sagittarius A* (Sgr A*). Additionally, the initial mass function (IMF) in this region appears different from the standard Salpeter/Kroupa law. Extreme extinction and crowding limit our understanding of the stellar population, with spectroscopic data available only for selected bright sources. We aim to improve knowledge about the distribution and IMF of young, massive stars near Sgr A*. Using intermediate band (IB) photometry, we identify candidates for massive young stars through Bayesian inference, a neural network, and a gradient-boosted trees algorithm. We obtained spectral energy distributions for 6590 stars, 1181 of which have been previously classified spectroscopically. We identify 351 stars classified as early types by all three methods, including 155 newly identified candidates. The radial density profiles for late and early-type stars fit broken power laws, with a break radius of 9.2 +- 0.6'' for early-type stars. Late-type stars show a core-like distribution around Sgr A*, while early-type stars' density increases steeply towards the black hole. We infer a top-heavy IMF of young stars near Sgr A* (R < 9''), with a power-law of 1.6 +- 0.1. At greater distances, a standard Salpeter/Kroupa IMF fits the data. IB photometry also constrains the metallicities of late-type stars, estimating metallicities for over 600 stars. The IMF variation with radial distance suggests different star formation mechanisms, with a top-heavy IMF near Sgr A* consistent with disc star formation.