Magnetism in Cool Evolved Stars: the M giants EK Bootis $\beta$ Pegasi

We present a long-term spectropolarimetric study of the active M giantsEK Bootis (M5III) and β Pegasi (M2.5II-III). For each star, the variability of the diskaveraged longitudinal component of the magnetic field (Bl) is shown, along with thebehavior of different spectral activity indicators. The possible nature of the secondarycomponent of EK Boo is discussed. We compare the observed variations in the activity proxies of each of the two giants and discuss possible physical explanations for thestructure of their respective magnetic fields. For both objects, observations in linear polarisation are also presented and briefly discussed.