One-loop Amplitudes in Six-Dimensional (1,1) Theories from Generalised Unitarity

TL;DR

This paper develops a method combining spinor helicity, superspace, and unitarity to compute one-loop scattering amplitudes in six-dimensional (1,1) supersymmetric gauge theories, providing explicit calculations and consistency checks.

Contribution

It introduces a novel combination of techniques for calculating one-loop amplitudes in six-dimensional (1,1) theories, advancing computational methods in higher-dimensional supersymmetric gauge theories.

Findings

Calculated one-loop superamplitudes with four and five external particles.

Performed multiple consistency checks confirming the validity of the results.

Demonstrated the effectiveness of combining spinor helicity, superspace, and unitarity methods.

Abstract

Recently, the spinor helicity formalism and on-shell superspace were developed for six-dimensional gauge theories with (1,1) supersymmetry. We combine these two techniques with (generalised) unitarity, which is a powerful technique to calculate scattering amplitudes in any massless theory. As an application we calculate one-loop superamplitudes with four and five external particles in the (1,1) theory and perform several consistency checks on our results.