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

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

2011-05-17

arxiv.org/abs/1105.3503v1

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 9 figures

Scientific paper

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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