Non-abelian infrared divergences on the celestial sphere

Abstract

We consider the infrared factorisation of non-abelian multi-particle scattering amplitudes, and we study the form of the universal colour operator responsible for infrared divergences, when expressed in terms of coordinates on the `celestial sphere' intersecting the future light-cone at asymptotic distances. We find that colour-dipole contributions to the infrared operator, to all orders in perturbation theory, have a remarkably simple expression in these coordinates, with scale and coupling dependence factorised from kinematics and colour. Generalising earlier suggestions in the abelian theory, we then show that the infrared operator can be computed as a correlator of vertex operators in a conformal field theory of Lie-algebra-valued free bosons on the celestial sphere. We verify by means of the OPE that the theory correctly predicts the all-order structure of collinear limits, and the tree-level factorisation of soft real radiation.

23 pages, no figures

References in corpus (27)

• New Relations for Gauge-Theory Amplitudes
• Gluon scattering amplitudes at strong coupling
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Gluon Amplitudes as 2d Conformal Correlators
• Low's Subleading Soft Theorem as a Symmetry of QED
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production
• Symmetries of Celestial Amplitudes
• Hard-Soft-Collinear Factorization to All Orders
• Webs in multiparton scattering using the replica trick
• Bootstrapping the QCD soft anomalous dimension
• The Massive Soft Anomalous Dimension Matrix at Two Loops
• Quantum Interference in Jet Substructure from Spinning Gluons
• Four-gluon scattering at three loops, infrared structure and Regge limit
• Matter dependence of the four-loop cusp anomalous dimension
• Large Gauge Symmetries and Asymptotic States in QED
• Diagrammatic Exponentiation for Products of Wilson Lines
• May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
• General properties of multiparton webs: proofs from combinatorics
• Analyzing high-energy factorization beyond next-to-leading logarithmic accuracy
• Perturbative gauge theory at null infinity
• On the Casimir scaling violation in the cusp anomalous dimension at small angle
• Ultraviolet divergences and factorization for coordinate-space amplitudes
• Soft Gravity by Squaring Soft QED on the Celestial Sphere
• Generating function for web diagrams
• Cwebs beyond three loops in multiparton amplitudes
• Universal structure of subleading infrared poles at strong coupling

Cited by in corpus (24)

• Scattering Amplitudes: Celestial and Carrollian
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Revisiting the Conformally Soft Sector with Celestial Diamonds
• Shadows and Soft Exchange in Celestial CFT
• Celestial operator products from the worldsheet
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• Loop-level gluon OPEs in celestial holography
• The structure of IR divergences in celestial gluon amplitudes
• Celestial Superamplitudes
• Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity
• Quantizing Carrollian field theories
• Worldline description of a bi-adjoint scalar and the zeroth copy
• Exposing the threshold structure of loop integrals
• All-order celestial OPE from on-shell recursion
• The Holographic Soft $S$-Matrix in QED and Gravity
• Rings and strings: a basis for understanding subleading colour and QCD coherence beyond the two-jet limit
• Celestial IR divergences in general most-subleading-color gluon and gravity amplitudes
• Building blocks of Cwebs in multiparton scattering amplitudes
• An On-Shell Derivation of the Soft Effective Action in Abelian Gauge Theories
• Diamond of Infrared Equivalences in Abelian Gauge Theories
• Dynamical Edge Modes in Yang-Mills Theory
• Charge algebra for non-abelian large gauge symmetries at $O(r)$
• Non-abelian soft radiation data for a celestial theory