A New Approach to Convective Core Overshooting: Probabilistic
  Constraints from Color-Magnitude Diagrams of LMC Clusters
  We present a framework to simultaneously constrain the values and
uncertainties of the strength of convective core overshooting, metallicity,
extinction, distance, and age in stellar populations. We then apply the
framework to archival Hubble Space Telescope observations of six stellar
clusters in the Large Magellanic Cloud that have reported ages between ~1-2.5
Gyr. Assuming a canonical value of the strength of core convective
overshooting, we recover the well-known age-metallicity correlation, and
additional correlations between metallicity and extinction and metallicity and
distance. If we allow the strength of core overshooting to vary, we find that
for intermediate-aged stellar clusters, the measured values of distance and
extinction are negligibly effected by uncertainties of core overshooting
strength. However, cluster age and metallicity may have disconcertingly large
systematic shifts when core overshooting strength is allowed to vary by more
than +/- 0.05 Hp. Using the six stellar clusters, we combine their posterior
distribution functions to obtain the most probable core overshooting value,
0.500 +0.016 -0.134 Hp, which is in line with canonical values.
