Collinear Superspace

TL;DR

This paper introduces a superfield approach to construct a collinear slice of $ abla$ = 1 superspace, simplifying supersymmetric theories by integrating out anti-collinear degrees-of-freedom, with applications to super Yang-Mills.

Contribution

It develops a novel collinear superspace framework for $ abla$ = 1 supersymmetry, enabling new analyses in supersymmetric soft-collinear effective theory.

Findings

Derived a collinear superspace formulation for $ abla$ = 1 supersymmetry.

Applied the framework to $ abla$ = 1 super Yang-Mills theory.

Established a foundation for future supersymmetric soft-collinear effective theory studies.

Abstract

This letter provides a superfield based approach to constructing a collinear slice of $\mathcal{N}$ = 1 superspace. The strategy is analogous to integrating out anti-collinear fermionic degrees-of-freedom as was developed in the context of soft-collinear effective theory. The resulting Lagrangian can be understood as an integral over collinear superspace, where half the supercoordinates have been integrated out. The application to $\mathcal{N}$ = 1 super Yang-Mills is presented. Collinear superspace provides the foundation for future explorations of supersymmetric soft-collinear effective theory.