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Color-Kinematics Duality and Dual Conformal Symmetry for A Four-loop Form Factor in N=4 SYM

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arxiv 2112.09123 v2 pith:FFZJSBG3 submitted 2021-12-16 hep-th hep-ph

Color-Kinematics Duality and Dual Conformal Symmetry for A Four-loop Form Factor in N=4 SYM

classification hep-th hep-ph
keywords dualfactorformfour-loopcolor-kinematicsconformaldualitysolution
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We obtain the full-color four-loop three-point form factor of the stress-tensor supermultiplet in N=4 SYM, based on the color-kinematics (CK) duality and generalized unitarity method. The CK-dual solution, while manifesting all dual Jacobi relations and satisfying the minimal power-counting of loop momenta, lies in a 133-dimensional solution space. We also show that the planar form factor integrand satisfies precisely a directional dual conformal symmetry in the lightlike limit of the operator momentum, which is supported by explicit four-loop calculations.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Dyeing form factors as amplitudes

    hep-th 2026-06 unverdicted novelty 7.0

    A dyeing procedure maps form factors to colored amplitudes, recovering the originals by bleaching and explaining double-copy features through standard BCJ relations.

  2. Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor

    hep-th 2026-05 unverdicted novelty 7.0

    Determines the unique two- and three-loop symbols for the four-point NMHV form factor from an 88-letter alphabet, providing first multi-loop non-MHV data and supporting alphabet universality.