Generating function for web diagrams

Abstract

We present the description of the exponentiated diagrams in terms of generating function within the universal diagrammatic technique. In particular, we show the exponentiation of the gauge theory amplitudes involving products of an arbitrary number of Wilson lines of arbitrary shapes, which generalizes the concept of web diagrams. The presented method gives a new viewpoint on the web diagrams and proves the non-Abelian exponentiation theorem.

8 pages, 3 figures; version accepted by PRD

References in corpus (8)

• A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Universal structure of subleading infrared poles in gauge theory amplitudes
• Webs in multiparton scattering using the replica trick
• The Non-Abelian Exponentiation theorem for multiple Wilson lines
• Diagrammatic Exponentiation for Products of Wilson Lines
• General properties of multiparton webs: proofs from combinatorics

Cited by in corpus (12)

• Soft-/rapidity- anomalous dimensions correspondence
• The Universal Transverse Momentum Dependent Soft Function at NNLO
• Infrared Singularities of Scattering Amplitudes and N${}^3$LL Resummation for $n$-Jet Processes
• Non-abelian infrared divergences on the celestial sphere
• Ultraviolet divergences and factorization for coordinate-space amplitudes
• Gauge theory webs and surfaces
• Multiparton webs beyond three loops
• Soft factors for double parton scattering at NNLO
• An Introduction to Webs
• Structure of rapidity divergences in soft factors
• Building blocks of Cwebs in multiparton scattering amplitudes
• Boomerang webs up to three-loop order