CAS Key Laboratory of Theoretical Physics
Institute of Theoretical Physics
Chinese Academy of Sciences
|Analytic Form of the Three-loop Four-gluon Scattering Amplitudes in Yang-Mills Theory|
|Graduate School of China Academy of Engineering Physics|
|2:00pm, Nov 04, 2019, Monday|
ITP South Building 6620
We present analytic forms of three-loop four-gluon planar amplitudes in pure Yang-Mills theory in our recent work. Gauge invariant bases and a set of proper master integrals are chosen such that the amplitudes are explicitly invariant under cyclic permutations of external particles. The D-dimensional unitarity method and integration-by-parts reductions with cut conditions are performed to determine the coefficients of the master integrals. Helicity amplitudes in the conventional dimension regularization scheme are obtained by setting gauge invariant bases to helicity configurations. After renormalizing the ultraviolet divergences, remaining divergences of the amplitudes agree with known infrared divergence structures exactly. Our results provide an essential piece of three-loop amplitudes required for the N^3LO order corrections to the production of dijet at hadron colliders.