Full Colour for Loop Amplitudes in Yang-Mills Theory
arXiv:1612.04366 · doi:10.1007/JHEP02(2017)100
Abstract
We present a general method to account for full colour dependence Yang-Mills amplitudes at loop level. The method fits most naturally into the framework of multi-loop integrand reduction and in a nutshell amounts to consistently retaining the colour structures of the unitarity cuts from which the integrand is gradually constructed. This technique has already been used in the recent calculation of the two-loop five-gluon amplitude in pure Yang-Mills theory with all positive helicities, arXiv:1507.08797. In this note, we give a careful exposition of the method and discuss its connection to loop-level Kleiss-Kuijf relations. We also explore its implications for cancellation of nontrivial symmetry factors at two loops. As an example of its generality, we show how it applies to the three-loop case in supersymmetric Yang-Mills case.
26 pages + appendices + refs; v2 minor corrections, journal version
References in corpus (11)
- Reducing full one-loop amplitudes to scalar integrals at the integrand level
- Higgs boson gluon-fusion production in N3LO QCD
- ZZ production at hadron colliders in NNLO QCD
- production at hadron colliders in NNLO QCD
- Full one-loop amplitudes from tree amplitudes
- Three-Loop Superfiniteness of N=8 Supergravity
- D-dimensional unitarity cut method
- Precise QCD predictions for the production of Higgs+jet final states
- Four-gluon scattering at three loops, infrared structure and Regge limit
- Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in quark-antiquark collisions
- Stratifying On-Shell Cluster Varieties: the Geometry of Non-Planar On-Shell Diagrams