Augmented Recursion For One-loop Amplitudes

TL;DR

This paper introduces a semi-recursive technique to compute the rational parts of one-loop amplitudes, effectively handling double poles, demonstrated through graviton scattering amplitude calculations.

Contribution

The paper presents a novel semi-recursive method specifically designed for one-loop amplitude calculations involving double poles, advancing computational techniques in quantum field theory.

Findings

Successfully applied to graviton scattering amplitude M^{1-loop}(1-, 2+, 3+, 4+, 5+)

Handles double poles in recursive calculations effectively

Enhances accuracy and efficiency of one-loop amplitude computations

Abstract

We present a semi-recursive method for calculating the rational parts of one-loop amplitudes when recursion produces double poles. We illustrate this with the graviton scattering amplitude M^{1-loop}(1-, 2+, 3+, 4+, 5+).