The Unitarity Method using a Canonical Basis Approach

TL;DR

This paper introduces a new implementation of the Unitarity method that employs canonical forms to efficiently compute rational coefficients in one-loop gauge theory amplitudes, demonstrated on seven-gluon scattering.

Contribution

The paper presents a novel canonical basis approach to the Unitarity method for calculating one-loop amplitudes in gauge theories.

Findings

Successfully computed the N=1 contribution to seven-gluon scattering.

Produced closed-form rational analytic results.

Enhanced the efficiency of amplitude calculations.

Abstract

Various implementations of the Unitarity method have been developed to compute one-loop amplitudes in gauge theories. In this paper we present an implementation which uses canonical forms to generate the rational coefficients of the basis integral functions. As an example, we present the results for the N=1 contribution to seven gluon scattering in closed, rational, analytic form.