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BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory

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arxiv 1105.3503 v1 pith:SBRAXMJT submitted 2011-05-17 hep-th hep-ph

classification hep-thhep-ph
keywords relationamplitudecolor-orderedgluonsproofscalartheorybcfw
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a field theoretical proof of the conjectured KLT relation which states that the full tree-level scattering amplitude of gluons can be written as a product of color-ordered amplitude of gluons and color-ordered amplitude of scalars with only cubic vertex. To give a proof we establish the KK relation and BCJ relation of color-ordered scalar amplitude using BCFW recursion relation with nonzero boundary contributions. As a byproduct, an off-shell version of fundamental BCJ relation is proved, which plays an important role in our work.

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Cited by 3 Pith papers

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

  1. Dyeing form factors as amplitudes

    hep-th 2026-06 unverdicted novelty 7.0 of 10

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

  2. HEFT Numerators from Kinematic Algebra

    hep-th 2025-01 conditional novelty 6.0 of 10

    The heavy-mass effective field theory kinematic numerators are derived as the field theory limit of nested commutators of string vertex operators, reproducing and extending earlier fusion-rule results.

  3. Hidden Zeros and $2$-split via BCFW Recursion Relation

    hep-th 2025-04 unverdicted novelty 4.0 of 10

    Hidden zeros in NLSM amplitudes are proven via modified BCFW recursion, with 2-split holding only under careful current definition.

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