Forming merging double compact objects with stable mass transfer

Merging double compact objects (CO) represent the inferred sources of every detected gravitational wave (GW) signal, thus modeling their progenitors is important to constrain stellar evolution theory. Stable mass transfer (MT) between a donor star and a black hole is one of the proposed tightening mechanisms to form binary black holes merging within the age of the universe. We aim to assess the potential of stable non conservative mass transfer to produce the pairings of COs: black holes (BHs), neutron stars (NSs) and white dwarfs (WDs). We study the conditions required for mass transfer between a star and a CO to be stable and to lead to merging binary COs. We use published results for the response of the stellar radii to rapid mass loss; coupled with analytical models for orbital evolution, we determine the boundary for unstable MT and the post interaction properties of binaries undergoing stable MT. We investigate the impact of angular momentum loss prescription in the hardening by accounting for isotropic re emission from the accretor vicinity and mass outflow from the Lagrangian point L2. Stable MT in systems with a CO + Roche lobe filling star, in the limit of isotropic re-emission, is shown to be able to form any pair of merging COs apart from WD + BH. Considering mass outflow from L2, the resulting parameter space for GW progenitors is shifted towards smaller initial mass ratios, ruling out the formation of NS + NS while allowing the production of merging WD + BH pairs. We compare our results with single-degenerate binaries and find that conditions for stable MT to operate are present in nature. We show that stable MT in the isotropic re-emission limit can produce merging binary BHs with mass ratios consistent with the majority of inferred sources of the third Gravitational Wave Transient Catalogue. Angular momentum loss from L2 lifts the achievable final mass ratio.