Testing Multiband (G, GBP, GRP, B, V and TESS) Standard Bolometric Corrections by Recovering Luminosity and Radii of 341 Host Stars

Abstract

Main-sequence bolometric corrections (BC) and a standard BC-Teff relation are produced for TESS wavelengths using published physical parameters and light ratios from SED models of 209 detached double-lined eclipsing binaries. This and previous five-band (Johnson B, V, Gaia G, GBP, GRP) standard BC-Teff relations are tested by recovering luminosity (L) of the most accurate 341 single host stars (281 MS, 40 subgiants, 19 giants and one PMS). The recovered L of photometry is compared to L from published R and Teff. A very high correlation ($R^2$ = 0.9983) is achieved for this mixed sample. Error histograms of recovered and calculated L show peaks at 2 and 4 per cent respectively. The recovered L and the published Teff} were then used in $L = 4 \pi R^2 \sigma Teff^4$ to predict the standard R of the host stars. Comparison between the predicted and published R of all luminosity classes are found successful with a negligible offset associated with the giants and subgiants. The peak of the predicted R errors is found at 2 per cent, which is equivalent to the peak of the published R errors. Thus, a main-sequence BC-Teff relation could be used in predicting both L and R of a single star at any luminosity class, but this does not mean BC-Teff relations of all luminosity classes are the same because luminosity information could be more constrained by star's apparent magnitude $\xi$ than its BC since $m_{Bol} = \xi + BC_\xi$.