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arXiv · 1207.4549

On General BCJ Relation at One-loop Level in Yang-Mills Theory

Yi-Jian Du·Hui Luo
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Abstract

BCJ relation reveals a dual between color structures and kinematic structure and can be used to reduce the number of independent color-ordered amplitudes at tree level. Refer to the loop-level in Yang-Mills theory, we investigate the similar BCJ relation in this paper. Four-point 1-loop example in N = 4 SYM can hint about the relation of integrands. Five-point example implies that the general formula can be proven by unitary- cut method. We will then prove a 'general' BCJ relation for 1-loop integrands by D-dimension unitary cut, which can be regarded as a non-trivial generalization of the (fundamental)BCJ relation given by Boels and Isermann in [arXiv:1109.5888 [hep-th]] and [arXiv:1110.4462 [hep-th]].

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Yi-Jian Du, Hui Luo. 2012-07-19. On General BCJ Relation at One-loop Level in Yang-Mills Theory. https://doi.org/10.1007/jhep01(2013)129

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