Progress on the soft anomalous dimension in QCD

Abstract

We review the state-of-the-art knowledge of IR singularities in multileg QCD amplitudes, identifying the key reasons for the remarkable simplicity of the soft anomalous dimension. We then present a novel strategy to compute this quantity using a lightcone expansion of correlators of semi-infinite Wilson lines by the Method of Regions. Recently, this strategy allowed us to determine the three-loop soft anomalous dimension for amplitudes consisting of a single massive coloured particle with any number of massless ones. It opens the way to computing this quantity for amplitudes involving two heavy particles at three loops and potentially going to higher loop orders.

Plenary talk presented at the 17th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR2025), 5-10 October 2025, Puri, India. 24 pages, 3 figures