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BCJ relation of color scalar theory and KLT relation of gauge theory

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 K...

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Bibliographic Details
Published in:The journal of high energy physics 2011-08, Vol.2011 (8), Article 129
Main Authors: Du, Yi-Jian, Feng, Bo, Fu, Chih-Hao
Format: Article
Language:English
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Summary: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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2011)129