Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory

Abstract

Using color-kinematics duality, we construct for the first time the full integrand of the five-loop Sudakov form factor in N=4 super-Yang-Mills theory, including non-planar contributions. This result also provides a first manifestation of the color-kinematics duality at five loops. The integrand is explicitly ultraviolet finite when D<26/5, coincident with the known finiteness bound for amplitudes. If the double-copy method could be applied to the form factor, this would indicate an interesting ultraviolet finiteness bound for N=8 supergravity at five loops. The result is also expected to provide an essential input for computing the five-loop non-planar cusp anomalous dimension.

6 pages, 6 figures; v2, auxiliary file with three-parameter numerators provided, references added, minor changes, published version

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Cited by in corpus (16)

• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
• Two-Loop SL(2) Form Factors and Maximal Transcendentality
• Amplitudes, Hopf algebras and the colour-kinematics duality
• Full-color three-loop three-point form factors in N=4 SYM
• Kinematic Hopf algebra for amplitudes and form factors
• Color-Kinematics Duality for Sudakov Form Factor in Non-Supersymmetric Pure Yang-Mills Theory
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• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• New relations for tree-level form factors and scattering amplitudes
• Form factors from string amplitudes
• The nonplanar cusp and collinear anomalous dimension at four loops in $\mathcal{N}=4$ SYM theory
• Analytic two-Loop four-point form factor of the stress-tensor supermultiplet in $\mathcal{N}=4$ SYM
• On-shell Methods for Form Factors in N=4 SYM and Their Applications
• Leading singularities in higher-derivative Yang-Mills theory and quadratic gravity
• Three-loop color-kinematics duality: A 24-dimensional solution space induced by new generalized gauge transformations