Variations of the initial mass function in semi-analytical models

Deviations from a universal, Milky Way-like, Stellar initial mass function (IMF) have been reported for distant galaxies, although the physical reason behind the observed variations is still matter of ongoing debate. In this paper, we present an exploratory study to assess the impact of the proposed IMF evolution on the statistical galaxy properties, as predicted by the semi-analytical model of galaxy formation and evolution MOdel for the Rise of Galaxies aNd Agns (MORGANA). In particular, we test different dependences for the IMF shape, as a function of both model galaxy properties (such as star formation rate, velocity dispersion or stellar mass) and environment, and compare the predicted stellar mass functions and star formation rate functions with reference runs at fixed IMF. In most cases, MORGANA predictions show deviations of the order of a few tenths of dex with respect to a run assuming a universal Kroupa IMF. Among the proposed IMF variations, an increasing top-heavy IMF at increasing star formation rates has the largest impact on predicted galaxy properties, while most of the models assuming an increasing bottom-heavy IMF at higher masses/velocity dispersion lead to variations in galaxy properties that are of the same order as the uncertainty on the mass and star formation rate determination. By comparing the predicted galaxy stellar mass functions, we conclude that the study of the high-mass end can provide useful constraints to disentangle models assuming an increasing top-heavy IMF in high star forming or bottom-heavy IMF in massive systems.