The Multi-Regge limit of NMHV Amplitudes in N=4 SYM Theory

TL;DR

This paper compares two formalisms for analyzing NMHV amplitudes in N=4 SYM theory in the multi-Regge limit, confirming their agreement at two loops and providing predictions for higher loops and multiplicities.

Contribution

It demonstrates the agreement between BFKL and superconformal formalisms at two loops and extends predictions for multi-loop and multi-particle amplitudes in the multi-Regge limit.

Findings

BFKL and superconformal approaches agree at two loops for six-point amplitudes

Predictions made for three-loop multi-Regge amplitudes

Extended analysis for multi-particle NMHV amplitudes

Abstract

We consider the multi-Regge limit for N=4 SYM NMHV leading color amplitudes in two different formulations: the BFKL formalism for multi-Regge amplitudes in leading logarithm approximation, and superconformal N=4 SYM amplitudes. It is shown that the two approaches agree to two-loops for the 2->4 and 3->3 six-point amplitudes. Predictions are made for the multi-Regge limit of three loop 2->4 and 3->3 NMHV amplitudes, as well as a particular sub-set of two loop 2 ->2 +n N^kMHV amplitudes in the multi-Regge limit in the leading logarithm approximation from the BFKL point of view.