Statistical Confirmation of a Stellar Upper Mass Limit
M. S. Oey, C. J. Clarke
Abstract
We derive the expectation value for the maximum stellar mass (mmax) in an ensemble of N stars, as a function of the IMF upper-mass cutoff (mup) and N. We statistically demonstrate that the upper IMF of the local massive star census observed thus far in the Milky Way and Magellanic Clouds clearly exhibits a universal upper mass cutoff around 120 - 200 Msun for a Salpeter IMF, although the result is more ambiguous for a steeper IMF.
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