English

Two-Loop Four-Gluon Amplitudes in N=4 Super-Yang-Mills

High Energy Physics - Phenomenology 2009-10-30 v3 High Energy Physics - Theory

Abstract

Using cutting techniques we obtain the two-loop N=4 super-Yang-Mills helicity amplitudes for four-gluon scattering in terms of scalar integral functions. The N=4 amplitudes are considerably simpler than corresponding QCD amplitudes and therefore provide a testing ground for exploring two-loop amplitudes. The amplitudes are constructed directly in terms of gauge invariant quantities and therefore remain relatively compact throughout the calculation. We also present a conjecture for the leading color four-gluon amplitudes to all orders in the perturbative expansion.

Keywords

Cite

@article{arxiv.hep-ph/9702424,
  title  = {Two-Loop Four-Gluon Amplitudes in N=4 Super-Yang-Mills},
  author = {Z. Bern and J. S. Rozowsky and B. Yan},
  journal= {arXiv preprint arXiv:hep-ph/9702424},
  year   = {2009}
}

Comments

Latex, 13 pages, 9 figures, minor changes to signs in eq.(14)

R2 v1 2026-07-22T14:36:02.957Z