Twistor-Space Recursive Formulation of Gauge-Theory Amplitudes

TL;DR

This paper introduces a recursive method for calculating gauge-theory amplitudes using twistor space, expanding on MHV vertices with non-MHV vertices to unify different twistor-space approaches.

Contribution

It defines non-MHV vertices and demonstrates their use in a recursive framework, clarifying the equivalence of twistor-space prescriptions.

Findings

Recursive construction of gauge-theory amplitudes using non-MHV vertices

Unification of different twistor-space amplitude prescriptions

Explicit combinatoric factors for amplitude calculations

Abstract

Using twistor space intuition, Cachazo, Svrcek and Witten presented novel diagrammatic rules for gauge-theory amplitudes, expressed in terms of maximally helicity-violating (MHV) vertices. We define non-MHV vertices, and show how to use them to give a recursive construction of these amplitudes. We also use them to illustrate the equivalence of various twistor-space prescriptions, and to determine the associated combinatoric factors.