Twistor diagram recursion for all gauge-theoretic tree amplitudes

TL;DR

This paper introduces a twistor diagram formalism for gauge-theoretic tree amplitudes, demonstrating its simplicity, finiteness, and conformal symmetry, and translating recursion formulas into diagrammatic rules.

Contribution

It presents a novel twistor diagram approach that naturally encodes all gauge-theoretic tree amplitudes and simplifies recursion relations.

Findings

All tree amplitudes are represented by twistor diagrams.

The Britto-Cachazo-Feng recursion is reformulated as a diagram composition rule.

The formalism emphasizes finiteness and conformal symmetry of amplitudes.

Abstract

The twistor diagram formalism for scattering amplitudes is introduced, emphasising its finiteness and conformal symmetry. It is shown how MHV amplitudes are simply represented by twistor diagrams. Then the Britto-Cachazo-Feng recursion formula is translated into a simple rule for composing twistor diagrams. It follows that all tree amplitudes in pure gauge-theoretic scattering are expressed naturally as twistor diagrams. Further implications are briefly discussed.