Note on the non-adjacent BCFW deformations

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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more readable version with typo corrected and references added

Scientific paper

As the first part, we provide a proof of the consistency condition by Kleiss-Kuijf relation and the bonus relation by BCJ relation for the non-adjacent BCFW deformations. On the other hand, rather than appealing to field theory argument, we provide an alternative proof of bonus relation for the non-adjacent BCFW deformations by a purely S matrix analysis in the context of $\mathcal{N}=4$ SYM theory.

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