Abstract
We present an explicit expression for a particular $n$-gluon two loop scattering partial amplitude. Specifically we present an analytic form for the single trace $N_c$ independent colour partial amplitude for the case where all external gluons have positive helicity.
Highlights
Computing scattering amplitudes is a key technology in producing theoretical predictions to test at colliders and other experiments
In SUðNcÞ and UðNcÞ gauge theories a loop amplitude can be further expanded in terms of color structures, Cλ, AðnlÞ 1⁄4 XAðnl∶ÞλCλ; λ ð1:2Þ
For five external gluons progress has focused upon dividing the full amplitude into its different color and helicity partial amplitudes
Summary
Computing scattering amplitudes is a key technology in producing theoretical predictions to test at colliders and other experiments. We present a conjecture for a very specific color partial two-loop amplitude which is valid for an arbitrary number of legs. It will be the case where all external gluons have positive helicity, this being the most symmetric combination. From a very different viewpoint, this partial amplitude arises in open string theory from the nonplanar two-loop orientable surface. It is very specific (and probably the least important phenomenologically) this hopefully will provide a useful multileg two-loop expression from which to study the structure and properties of amplitudes
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