Level of helium enhancement among M3’s horizontal branch stars

Abstract

(Abridged) The color and luminosity distribution of horizontal branch (HB) stars in globular clusters are sensitive probes of their original helium abundances. However, recent analyses based on visual and near-ultraviolet (UV) CMDs have provided conflicting results. To clarify the situation, we address the optimum ranges of applicability (in terms of the $T_{eff}$ range covered by the HB stars) for visual and near-UV CMDs, as far as application of this HB $Y$ test goes. We consider both Stromgren and Hubble Space Telescope (HST) bandpasses. Our results indicate that the distributions of HB stars in the y vs (b-y) plane can be a reliable indicator of the He content in cool blue HB (BHB) stars, particularly when a differential comparison between blue and red HB stars is carried out in the range $T_{eff}<8300$K. Conversely, we demonstrate that CMDs using the F336W filter have a much less straightforward interpretation at the cool end of the BHB, as the distributions of HB stars in the F336W vs (F336W-F555W) plane are affected by a triple degeneracy effect. In other words, the position of an HB star is exactly the same, for a given chemical composition, for multiple combinations of the parameters $Y$, $M_{HB}$, and age along the HB evolutionary track. Other HST UV filters do not appear to be as severely affected by this degeneracy effect, to which visual bandpasses are also immune. We do find, on the other hand, that such near-UV CMDs can be extremely useful for the hottest stars along the cool BHB end. Based on a reanalysis of the distribution of HB stars in the y vs (b-y) plane, we find that the coolest among the BHB stars in M3 are likely enhanced in helium by $\Delta Y\approx 0.01$, compared with the red HB stars in the same cluster. Using near-UV HST photometry we find evidence of a progressive increase in $Y$ with increasing temperature, reaching $\Delta Y=0.02$ at $T_{eff}=10900$K.