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Recent stellar evolution models for globular clusters (GCs) in multiplepopulation paradigm suggest that horizontal-branch (HB) morphology and meanperiod of type ab RR Lyrae variables are mostly determined by He & CNOabundances and relative ages for subpopulations. These parameters are alsoprovided by chemical evolution models constructed to reproduce the Na-Oanti-correlation. Therefore, a consistency check is possible between thesynthetic HB and chemical evolution models. Furthermore, by combining them, abetter constraint might be attained for star formation history and chemicalabundances of subpopulations in GCs. We find, from such efforts made for fourGCs, M4, M5, M15, and M80, that consistent results can be obtained from thesetwo independent studies. In our unified model, He and Na abundances graduallyincrease over the generation, and therefore, the various extensions observed inboth HB morphology and Na-O chemical pattern depend on the presence of latergeneration stars after the second generation. It is schematically shown thatthis observed diversity, however, would not be naturally explained by themodels requiring dilution. Further spectroscopic observations are required, formetal-poor GCs in particular, to obtain a more detailed constraint from thisapproach.

Multiple populations in globular clusters: Unified efforts from stellar evolution and chemical evolution models