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Tree- and one-loop-level double copy for the (anti)self-dual sectors of Yang-Mills and gravity

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arxiv 2412.07498 v1 pith:HXLID56C submitted 2024-12-10 hep-th gr-qc

Tree- and one-loop-level double copy for the (anti)self-dual sectors of Yang-Mills and gravity

Daniel Herrera Correa , Cristhiam Lopez-Arcos , Alexander Quintero Velez This is my paper
classification hep-th gr-qc
keywords anticolor-kinematicscopydoubleone-loop-levelself-dualtree-yang-mills
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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By employing the perturbiner method we study the tree- and one-loop-level amplitudes in (anti)self-dual Yang-Mills, focusing on color-kinematics duality and double copy features; they arise naturally even in the fully off-shell case. In particular, we calculate the respective the Kawai-Lewellen-Tye relations for tree-level Berends-Giele currents and color-kinematics master numerators at one loop, both cases for any number of external particles.

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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. Systematic approach to $\ell$-loop planar integrands from the classical equation of motion

    hep-th 2025-04 unverdicted novelty 6.0

    A recursion formula for ℓ-loop planar integrands in colored QFTs is derived from the classical equation of motion via comb components and loop kernels.

  2. Perturbiner methods in scattering amplitude

    hep-th 2026-07 accept novelty 5.5

    Perturbiner multi-particle solutions of classical field equations generate Berends–Giele currents and tree-level amplitudes across scalars, gauge theory, gravity, NLSM, AdS, and one-loop integrands, including several ...