New Dual Conformally Invariant Off-Shell 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.

21 pages, 9 figures

References in corpus (28)

• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• Gluon scattering amplitudes at strong coupling
• Cuba - a library for multidimensional numerical integration
• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Magic identities for conformal four-point integrals
• One-Loop Amplitudes for e^+ e^- to Four Partons
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Automatized analytic continuation of Mellin-Barnes integrals
• On planar gluon amplitudes/Wilson loops duality
• Analytical Result for Dimensionally Regularized Massless On-shell Double Box
• Non-planar massless two-loop Feynman diagrams with four on-shell legs
• Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory
• Two-Loop Four-Gluon Amplitudes in N=4 Super-Yang-Mills
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Four-Loop Cusp Anomalous Dimension From Obstructions
• Two-Loop Amplitudes of Gluons and Octa-Cuts in N=4 Super Yang-Mills
• Multi-loop Feynman integrals and conformal quantum mechanics
• Iterative Structure Within The Five-Particle Two-Loop Amplitude
• Infrared Limit of Gluon Amplitudes at Strong Coupling
• Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory
• A simple way to generate high order vacuum graphs
• Hidden Beauty in Multiloop Amplitudes

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• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
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• Boundary Ring: a way to construct approximate NG solutions with polygon boundary conditions: I. Z_n-symmetric configurations
• The Two-Loop Remainder Function for Eight and Nine Particles
• Boundary Ring or a Way to Construct Approximate NG Solutions with Polygon Boundary Conditions. II. Polygons which admit an inscribed circle
• New four-dimensional integrals by Mellin-Barnes transform
• An Infinite Family of Elliptic Ladder Integrals
• Fourier transforms of UD integrals
• Comment on the Alday-Maldacena solution in calculating scattering amplitude via AdS/CFT
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• Aspects of the N=4 SYM amplitude -- Wilson polygon duality
• Further results for the two-loop Lcc vertex in the Landau gauge
• Gluon self-interaction in the position space in Landau gauge
• 4-particle Amplituhedronics for 3-5 Loops
• "Anomaly" in n=infinity Alday-Maldacena Duality for Wavy Circle
• Massive quark scattering at strong coupling from AdS/CFT
• Scattering amplitudes on the Coulomb branch of N=4 super Yang-Mills
• Deviation from Alday-Maldacena Duality For Wavy Circle
• Impact Factors for Reggeon-Gluon Transitions
• The massless supersymmetric ladder with L rungs
• Discontinuites of BFKL amplitudes and the BDS ansatz
• Dual Conformal Symmetry and Iterative Integrals in Six Dimensions
• Theoretical Perspectives: XLIII Rencontres de Moriond - QCD