English

Some analytic results for two-loop scattering amplitudes

High Energy Physics - Theory 2011-07-21 v2

Abstract

We present analytic results for the finite diagrams contributing to the two-loop eight-point MHV scattering amplitude of planar N=4 SYM. We use a recently proposed representation for the integrand of the amplitude in terms of (momentum) twistors and focus on a restricted kinematics in which the answer depends only on two independent cross-ratios. The theory of motives can be used to vastly simplify the results, which can be expressed as simple combinations of classical polylogarithms.

Keywords

Cite

@article{arxiv.1009.1110,
  title  = {Some analytic results for two-loop scattering amplitudes},
  author = {Luis F. Alday},
  journal= {arXiv preprint arXiv:1009.1110},
  year   = {2011}
}

Comments

18 pages

R2 v1 2026-06-21T16:10:07.450Z