Speaker
Description
We present a bootstrap construction of planar two-loop six-gluon scattering amplitudes, focusing on the ``most complicated terms'' in the sense of Lipatov. From an analysis of on-shell diagrams, we identify a complete and conformally invariant set of leading singularities. Combining these results with recent advances in understanding the relevant function space and with insights from generalized unitarity, we find that the considered helicity amplitudes are uniquely determined by imposing correct physical limits. This yields the first detailed picture of two-loop six-gluon amplitudes at the symbol. It also reveals a remarkably small and tightly constrained function alphabet, hinting at a deeper organizing principle similar to that observed in maximally supersymmetric Yang–Mills theory. Our results provide a new perspective on multi-particle scattering in pure Yang–Mills theory and pave the way for systematic extensions to higher multiplicities.