Dimensional Regularization and Dimensional Reduction in the Light Cone

TL;DR

This paper computes all 2-to-2 scattering amplitudes in Yang-Mills theory using light cone gauge with dimensional regularization, addressing gauge fixing issues and verifying supersymmetry relations.

Contribution

It provides a comprehensive calculation of scattering processes with a novel regularization approach and checks supersymmetry relations in the light cone framework.

Findings

All scattering amplitudes computed with dimensional regularization.

Supersymmetry relations among amplitudes verified.

Addresses gauge fixing problems in previous approaches.

Abstract

We calculate all the 2 to 2 scattering process in Yang-Mills theory in the Light Cone gauge, with the dimensional regulator as the UV regulator. The IR is regulated with a cutoff in $q^+$. It supplements our earlier work, where a Lorentz non-covariant regulator was used and the final results bear some problems in gauge fixing. Supersymmetry relations among various amplitudes are checked using the light cone superfields.