Three bosons and a soft expansion
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Over the last decade, considerable attention has been devoted to the investigation of power corrections to the strict soft limit in QCD, where soft gluon emissions govern the logarithmic structure of observables to all orders. In this talk, I will review how the extension of the traditional Mellin space approach to soft gluon resummation at subleading power spurred the development of new techniques (based on Wilson lines and the worldline formalism) that can be naturally implemented in a variety of other contexts. Specifically, I will concentrate on two recent phenomenological applications. The first one deals with soft photons and an old experimental conundrum dating back to LEP. The second one concerns soft gravitons and the gravitational wave program.