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Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes

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arxiv 1809.08103 v1 pith:G5TFAPW6 submitted 2018-09-21 hep-th

Lucia M. Garozzo , Leonel Queimada , Oliver Schlotterer This is my paper · ORCID
classification hep-th
keywords alphaamplitudescurrentsgaugerepresentationsberends-gielebern-carrasco-johanssonhand
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abstract

We construct new representations of tree-level amplitudes in D-dimensional gauge theories with deformations via higher-mass-dimension operators $\alpha' F^3$ and $\alpha'^{2} F^4$. Based on Berends-Giele recursions, the tensor structure of these amplitudes is compactly organized via off-shell currents. On the one hand, we present manifestly cyclic representations, where the complexity of the currents is systematically reduced. On the other hand, the duality between color and kinematics due to Bern, Carrasco and Johansson is manifested by means of non-linear gauge transformations of the currents. We exploit the resulting notion of Bern-Carrasco-Johansson gauge to provide explicit and manifestly local double-copy representations for gravitational amplitudes involving $\alpha' R^2$ and $\alpha'^2 R^3$ operators.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 37 citations worldwide. Full citation record

  1. Gleaning gravitational amplitudes -- a double copy for canceling dilatons

    hep-th 2025-01 conditional novelty 7.0 of 10

    An asymmetric double copy with a ghost-like sqrt-dilaton cancels dilaton contaminations in tree-level GR amplitudes with massive scalars up to six points, leaving a residual bubble ambiguity at one loop.

  2. Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter

    hep-th 2026-07 accept novelty 6.0 of 10

    Perturbiner recursion proves color-factor symmetry (hence BCJ relations) for all tree-level YM+matter amplitudes with at least one gluon.

  3. On the New Factorizations of Yang-Mills Amplitudes

    hep-th 2024-12 conditional novelty 6.0 of 10

    Tree-level Yang-Mills amplitudes factorize into gluings of lower-point amplitudes when a rectangular set of Mandelstam variables vanishes, and this paper gives a rigorous CHY-based proof.

  4. Perturbiner methods in scattering amplitude

    hep-th 2026-07 accept novelty 5.5 of 10

    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 ...

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