Generic multiloop methods and application to N=4 super-Yang-Mills

TL;DR

This paper reviews advanced multiloop techniques for constructing compact integrand representations of gauge-theory amplitudes, including non-planar contributions, with applications to N=4 super-Yang-Mills and theories with less supersymmetry.

Contribution

It introduces a unified organization of amplitudes using cubic graphs, discusses maximal and recursive cuts, and explores the color-kinematic duality for efficient amplitude organization.

Findings

Enhanced methods for multiloop amplitude calculations.

Application to non-planar contributions in gauge theories.

Insights into the color-kinematic duality structure.

Abstract

We review some recent additions to the tool-chest of techniques for finding compact integrand representations of multiloop gauge-theory amplitudes - including non-planar contributions - applicable for N=4 super-Yang-Mills in four and higher dimensions, as well as for theories with less supersymmetry. We discuss a general organization of amplitudes in terms of purely cubic graphs, review the method of maximal cuts, as well as some special D-dimensional recursive cuts, and conclude by describing the efficient organization of amplitudes resulting from the conjectured duality between color and kinematic structures on constituent graphs.