The level of agreement between theoretical and observed globular cluster luminosity functions

Luminosity functions from theoretical stellar evolution calculations are compared with observed ones of several galactic globular clusters (M30, M92, M68, NGC6397, M4, M80, NGC6352, NGC1851). Contrary to earlier results of Faulkner & Stetson (1993) and Bolte (1994) we find no significant discrepancy that could indicate the neglect of important physical effects in the models. However, it is confirmed that the subgiant branch is the most sensitive part and shows the largest deviations in the luminosity function comparison, if parameters are unappropriate. We also find that the main sequence is suited less than the Red Giant Branch for the calibration of theoretical luminosity functions. While for individual clusters different changes in the model assumptions might resolve mismatches, there is no systematic trend visible. It rather appears that the quality of the luminosity function in the subgiant part is insufficient and that improved observations of this particular region are necessary for a better comparison. At the present quality of luminosity functions theory is in agreement with observation and a postulation of WIMPs acting in stellar cores does not seem to be justified. Actually, fits using isothermal core models on the main sequence appear to be worse than those with standard stellar evolution assumptions.