Recursion Rules for Scattering Amplitudes in Non-Abelian Gauge Theories

TL;DR

This paper derives recursion rules for calculating scattering amplitudes in non-Abelian gauge theories, applicable at any loop order, with explicit formulas provided for tree-level and one-loop cases.

Contribution

It introduces a functional derivation method for recursion rules in non-Abelian gauge theories, extending their validity to all loop orders.

Findings

Recursion rules explicitly derived for tree-level amplitudes.

One-loop recursion rules explicitly derived.

Method applicable to arbitrary loop order.

Abstract

We present a functional derivation of recursion rules for scattering amplitudes in a non-Abelian gauge theory in a form valid to arbitrary loop order. The tree-level and one-loop recursion rules are explicitly displayed.