Collinear anatomy

TL;DR

This paper investigates the collinear behavior of off-shell scattering amplitudes in maximally supersymmetric Yang-Mills theory, using six-dimensional formalism and unitarity cuts to derive splitting amplitudes at one-loop order.

Contribution

It introduces a novel approach combining six-dimensional spinor-helicity and unitarity methods to analyze collinear limits and construct off-shell splitting amplitudes.

Findings

Collinear behavior analyzed using the Method of Regions.

Off-shell splitting amplitudes constructed and shown equivalent to amplitude analysis.

Calculations performed at one-loop order.

Abstract

We study the collinear factorization of off-shell scattering amplitudes in maximally supersymmetric Yang-Mills (sYM) theory. These are constructed starting from six-dimensional N = (1,1) sYM, taking advantage of an available unconstrained spinor-helicity formalism combined with a unitarity-cut sewing procedure. After generalized dimensional reduction, their collinear behavior is dissected with assistance from the Method of Regions. We then construct off-shell splitting amplitudes directly using the same techniques, establishing equivalence to the amplitude analysis. The calculations are performed at one-loop order.