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

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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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Authors and Affiliations

  1. Zhejiang Institute of Modern Physics, Zhejiang University, 38 Zheda Road, Hangzhou, 310027, China

    Yi-Jian Du & Bo Feng

  2. Center of Mathematical Science, Zhejiang University, 38 Zheda Road, Hangzhou, 310027, China

    Bo Feng & Chih-Hao Fu

  3. Kavli Institute for Theoretical Physics China, Chinese Academy of Sciences, 55 Zhongguancun East Road, Haidian District, Beijing, 100190, China

    Bo Feng

Authors
  1. Yi-Jian Du
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  2. Bo Feng
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  3. Chih-Hao Fu
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Correspondence to Chih-Hao Fu.

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ArXiv ePrint: 1105.3503

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Du, YJ., Feng, B. & Fu, CH. BCJ relation of color scalar theory and KLT relation of gauge theory. J. High Energ. Phys. 2011, 129 (2011). https://doi.org/10.1007/JHEP08(2011)129

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  • DOI: https://doi.org/10.1007/JHEP08(2011)129

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