The one-loop central emission vertex for two gluons in N=4 super Yang-Mills theory

The one-loop central emission vertex for two gluons in N=4 super Yang-Mills theory

In this talk I will summarise our recent investigation of the 2-to-4 gluon amplitude in a central Next-to-Multi-Regge limit, where the two central (in rapidity) gluons are not necessarily strongly ordered in rapidity. I will review the factorisation of the tree-level amplitude in this limit, whereby the tree-level two-gluon central emission vertex (CEV) can be obtained. This CEV was a necessary ingredient for the NLL BFKL kernel. We will then repeat the analysis for the one-loop six-gluon amplitude in N=4 super Yang-Mills (SYM) theory, obtaining the one-loop two-gluon CEV of this theory. This is one of the ingredients required for extending the BFKL equation to NNLL accuracy. I will also emphasise the potential of Regge limits as a useful way to organise amplitudes even in general kinematics.

Emmet's Slides