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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.
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C. Anastasiou, R. Britto, B. Feng, Z. Kunszt and P. Mastrolia, “Unitarity cuts and Reduction to master integrals in d dimensions for one-loop amplitudes,” JHEP 0703
2007
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2008
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N. Arkani-Hamed and J. Kaplan, “On Tree Amplitudes in Gauge Theory and Gravity,” JHEP 0804
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2011
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2011
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2011
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2011
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2009
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R. H. Boels, “On BCFW shifts of integrands and integrals,” JHEP 1011
2010
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2010
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S. Stieberger, “Open & Closed vs. Pure Open String Disk Amplitudes,” arXiv:0907.2211 [hep-th]
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2012
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2012
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2012
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