Dissolving N=4 loop amplitudes into QCD tree amplitudes

TL;DR

This paper derives a novel compact formula for a specific tree-level gluon scattering amplitude in QCD by leveraging infrared consistency conditions from N=4 Yang-Mills theory, revealing simpler underlying structures.

Contribution

It presents the first known compact analytic formula for a tree-level NNMHV gluon amplitude in QCD, connecting infrared conditions with one-loop amplitude calculations.

Findings

Derived a new analytic formula for NNMHV gluon amplitude in QCD

Showed that IR conditions can aid in computing tree-level amplitudes

Indicated that amplitudes may have simpler structures than previously known

Abstract

We use the infrared consistency of one-loop amplitudes in N=4 Yang-Mills theory to derive a compact analytic formula for a tree-level NNMHV gluon scattering amplitude in QCD, the first such formula known. We argue that the IR conditions, coupled with recent advances in calculating one-loop box coefficients, can give a new tool for computing tree-level amplitudes in general. Our calculation suggests that many amplitudes have a structure which is even simpler than that revealed so far by current twistor-space constructions.