Integrated Near‐Infrared Colors of Star Clusters: Analysis of the Stochastic Effects on the Initial Mass Function

We examine the influence of stochastic effects on the integrated near-infrared light of star clusters with ages between 7.5<log(t)<9.25. To do this, we use stellar evolution models and a Monte Carlo technique to simulate the effects of stochastic variations in the numbers of main sequence, giant, and supergiant stars for single-generation stellar populations. The fluctuations in the integrated light produced by such variations are evaluated for the VJHK bands. We show that the $VJHK$ light of the star clusters can be strongly affected by plausible stochastic fluctuations in the numbers of bright but scarce stars. In particular, the inclusion of thermally pulsing AGB stars in the stellar evolution models yields integrated colors with values in agreement with the spread seen for Large Magellanic Cloud clusters that are known to have significant number of AGB stars. Implications of this analysis are important for studies of the integrated light of stellar populations where it is not possible to resolve individual stars.