It is well known that perturbative QCD corrections to scattering processes contain large double logarithms in the high-energy limit. At leading power, these are typically induced by soft-gluon exchanges, and their all-order structure is well understood. At subleading power, however, double logarithms often arise from soft-fermion exchanges and exhibit a richer, more intricate structure. I will discuss recent advances in the all-order resummation of these corrections, ranging from simple QED processes such as muon–electron backward scattering to heavy-to-light B-meson form factors. Within the framework of Soft-Collinear Effective Theory, the theoretical description of these corrections is complicated by the fact that the factorisation of subleading soft and collinear contributions gives rise to endpoint-divergent convolution integrals. By implementing a physical cutoff, I will present a systematic framework for their resummation based on asymptotic limits of anomalous dimensions of the underlying effective operators.