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arXiv · 1105.3503

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

Yi-Jian Du·Bo Feng·Chih-Hao Fu
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Abstract

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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Yi-Jian Du, Bo Feng, Chih-Hao Fu. 2011-05-17. BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory. https://doi.org/10.1007/jhep08(2011)129

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