Connecting integrated RGB mass loss from asteroseismology and globular clusters

Context. Asteroseismic investigations of solar-like oscillations in giant stars enable the derivation of their masses and radii. For mono-age mono-metallicity populations of stars this allows the integrated red giant branch (RGB) mass loss to be estimated by comparing the median mass of the low-luminosity RGB stars to that of the helium-core-burning stars (HeCB). Aims. We aim to exploit quasi mono-age mono-metallicity populations of field stars in the $\alpha$-rich sequence of the Milky Way (MW) to derive the integrated mass loss and its dependence on metallicity. By comparing to metal-rich globular clusters (GCs), we wish to determine whether the RGB mass loss differs in the two environments. Methods. Catalogues of asteroseismic parameters based on time-series photometry from the Kepler and K2 missions cross-matched to spectroscopic information from APOGEE-DR17, photometry from 2MASS, parallaxes from Gaia DR3 and reddening maps are utilised. The RGB mass loss is determined by comparing mass distributions of RGB and HeCB stars in three metallicity bins. For two GCs, the mass loss is derived from colour-magnitude diagrams. Results. Integrated RGB mass loss is found to increase with decreasing metallicity and/or mass in the [Fe/H] range from -0.9 to +0.0. At [Fe/H]=-0.50 the RGB mass loss of MW $\alpha$-rich field stars is compatible with that in GCs of the same metallicity. Conclusions. We provide novel empirical determinations of the integrated mass loss connecting field stars and GC stars at comparable metallicities. These show that mass loss cannot be accurately described by a Reimers mass-loss law with a single value of $\eta$. This should encourage further theoretical developments aimed at gaining a deeper understanding of the processes involved in mass loss.