Dual conformal invariance for form factors

Abstract

Form factors of the stress-tensor multiplet operator in $\mathcal{N}=4$ supersymmetric Yang-Mills reveal surprisingly simple structures similar to those appearing in scattering amplitudes. In this paper we show that, as for the case of amplitudes, they also enjoy dual conformal symmetry. We compute the dual conformal anomaly at one loop for an arbitrary number of particles and generic helicities, which matches the expression of the dual conformal anomaly of amplitudes, and perform explicit checks for MHV and NMHV one-loop form factors. In the NMHV case the realisation of dual conformal symmetry requires a delicate cancellation of offending terms arising from three-mass triangles, which we explicitly check in the case of the four-point NMHV form factor.

arXiv comment38 pages; v2: typos corrected, references added

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• Antipodal Self-Duality for a Four-Particle Form Factor
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Full-color three-loop three-point form factors in N=4 SYM
• Form factor recursion relations at loop level
• An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions
• Wilson Loop Duality and OPE for Super Form Factors of Half-BPS Operators
• Complete Form Factors in Yang-Mills from Unitarity and Spinor Helicity in Six Dimensions
• A Two-Loop Four-Point Form Factor at Function Level
• Analytic two-Loop four-point form factor of the stress-tensor supermultiplet in $\mathcal{N}=4$ SYM
• An Operator Product Expansion for Form Factors II. Born level
• Analytic Four-Point Lightlike Form Factors and OPE of Null-Wrapped Polygons
• On-shell Methods for Form Factors in N=4 SYM and Their Applications