Twistor diagrams for all tree amplitudes in gauge theory: a helicity-independent formalism

TL;DR

This paper introduces a helicity-independent formalism for calculating all tree-level gauge theory amplitudes using twistor diagrams, extending recursion relations and enabling more general and efficient computations.

Contribution

It presents a novel helicity-independent approach to tree amplitudes in gauge theory using twistor diagrams, generalizing recursion relations and simplifying calculations.

Findings

All tree amplitudes expressed in a helicity-independent form

Extended Britto-Cachazo-Feng recursion relation without restrictions

Explicit calculations up to 8 interacting fields

Abstract

We give a new formalism for pure gauge-theoretic scattering at tree-amplitude level. We first describe a generalization of the Britto-Cachazo-Feng recursion relation in which a significant restriction is removed. We then use twistor diagrams to express all tree amplitudes in a form independent of helicity. A formal procedure involving anticommuting elements is required. We illustrate the results with specific calculations of interest, up to 8 interacting fields.