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arXiv · 1712.09955

Group constraint relations for five-point amplitudes in gauge theories with SO(N) and Sp(2N) groups

Jia-Hui Huang
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Abstract

In this paper,linear constraint relations among loop-order five-point color-ordered amplitudes in $SO(N)$ and $Sp(2N)$ gauge theories are derived with the group-theoretic method. These constrains are derived up to four-loop order. It is found that in both theories, there are $n=6,22,34,44,50$ linear constraint relations at $L=0,1,2,3,4$ loop orders. Then the numbers of independent color-ordered five-point amplitudes are respectively $n_{ind.}=6,12,22,34,50$ at each loop order.

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Jia-Hui Huang. 2017-12-28. Group constraint relations for five-point amplitudes in gauge theories with SO(N) and Sp(2N) groups. https://doi.org/10.1016/j.nuclphysb.2021.115370

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