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

Jia-Hui Huang

doi:10.1016/j.nuclphysb.2021.115370

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

High Energy Physics - Theory 2021-03-15 v2

Authors: 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.

Keywords

gauge theories so(n) sp(2n) five-point amplitudes linear constraints color-ordered amplitudes

Cite

@article{arxiv.1712.09955,
  title  = {Group constraint relations for five-point amplitudes in gauge theories with SO(N) and Sp(2N) groups},
  author = {Jia-Hui Huang},
  journal= {arXiv preprint arXiv:1712.09955},
  year   = {2021}
}

Comments

20 pages, reference added, typo corrected

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