Multi-Loop Amplitudes in the High-Energy Limit in N=4 SYM

TL;DR

This paper presents a new method for calculating high-order multi-loop amplitudes in planar N=4 SYM theory within multi-Regge kinematics, extending factorization techniques to all loop orders.

Contribution

It introduces a novel framework that generalizes two-loop factorization to all loop orders, enabling easier computation of higher-loop and multi-leg amplitudes.

Findings

Framework allows systematic higher-loop amplitude calculations.

Method simplifies deriving amplitudes with more legs.

Extends two-loop factorization to all loop orders.

Abstract

We introduce a novel way to perform high-order computations in multi-Regge-kinematics in planar N=4 supersymmetric Yang-Mills theory and generalize the existing factorization into building blocks at two loops to all loop orders. Afterwards, we will explain how this framework can be used to easily obtain higher-loop amplitudes from existing amplitudes and how to relate them to amplitudes with higher number of legs.