A multi-wavelength analysis of BL Her stars: Models versus Observations

Abstract

We present new theoretical period--luminosity (PL) and period--radius (PR) relations at multiple wavelengths (Johnson--Cousins--Glass and {\sl Gaia} passbands) for a fine grid of BL~Herculis models computed using {\sc mesa-rsp}. The non-linear models were computed for periods typical of BL~Her stars, i.e. $1\le P(\mathrm{days})\le 4$, covering a wide range of input parameters: metallicity ($-$2.0 dex $\le$ [Fe/H] $\le$ 0.0 dex), stellar mass (0.5--0.8 M${}_{\odot }$), luminosity (50--300 L${}_{\odot }$) and effective temperature (full extent of the instability strip; in steps of 50K). We investigate the impact of four sets of convection parameters on multi-wavelength properties. Most empirical relations match well with theoretical relations from the BL~Her models computed using the four sets of convection parameters. No significant metallicity effects are seen in the PR relations. Another important result from our grid of BL~Her models is that it supports combining PL relations of RR Lyrae and Type~II Cepheids together as an alternative to classical Cepheids for the extragalactic distance scale calibration.

8 pages, 3 figures, Proceedings for IAUS376 'At the cross-roads of astrophysics and cosmology: Period-luminosity relations in the 2020s', Budapest, April 2023