New Dual Conformally Invariant Off-Shell Integrals

TL;DR

This paper classifies and evaluates dual conformally invariant off-shell four-point Feynman diagrams up to four loops, revealing new integrals and their infrared singularities, advancing understanding of hidden symmetries in N=4 super Yang-Mills theory.

Contribution

It provides a complete classification of dual conformally invariant off-shell diagrams up to four loops and evaluates ten new integrals with explicit infrared singularity expressions.

Findings

Classified all dual conformally invariant off-shell four-point diagrams up to four loops.

Evaluated ten new off-shell integrals using Mellin-Barnes representations.

Derived explicit expressions for the infrared singularities of these integrals.

Abstract

Evidence has recently emerged for a hidden symmetry of scattering amplitudes in N=4 super Yang-Mills theory called dual conformal symmetry. At weak coupling the presence of this symmetry has been observed through five loops, while at strong coupling the symmetry has been shown to have a natural interpretation in terms of a T-dualized AdS_5. In this paper we study dual conformally invariant off-shell four-point Feynman diagrams. We classify all such diagrams through four loops and evaluate 10 new off-shell integrals in terms of Mellin-Barnes representations, also finding explicit expressions for their infrared singularities.