Binary stars and the UVX in early type galaxies

We use the Hern\'andez-P\'erez $\&$ Bruzual (2013) HB13 stellar population synthesis models to study the r\^ole of interacting binary pairs as progenitors of EHB stars. We assemble a sample of 3417 Early Type Galaxies observed both in the optical (\textit{SDSS}-DR8) and the UV (\textit{GALEX}-GR6). The galaxies in our sample can be classified according to their position in the colour-colour diagram as UV weak or red sequence galaxies ($\sim 48\%$), UV strong or UVX galaxies ($\sim 9\%$), and recent star forming galaxies ($\sim 43\%$). Analysing this sample using the HB13 models for various choices of basic model parameters we conclude that: (a) The UV$r$ colours of UV weak and UV strong galaxies are reproduced by the models as long as the fraction of binary stars is at least 15$\%.$ (b) Higher metallicity models ($Z = 0.02$ and $Z = 0.03$) reproduce the colours of UV weak and UV strong galaxies better than lower $Z$ models. The $Z = 0.03$ model is slightly bluer than the $Z = 0.02$ model in the UV strong region, indicating a weak relationship between UVX and $Z$. (c) The strength of UVX increases with age in the model population. This is at variance with the results of other models that include binary stars as progenitors of EHB stars.