English

Two-Loop Four-Gluon Amplitudes with the Numerical Unitarity Method

High Energy Physics - Phenomenology 2017-10-11 v1 High Energy Physics - Theory

Abstract

We present the first numerical computation of two-loop amplitudes based on the unitarity method. As a proof of principle, we compute the four-gluon process. We discuss the new method, analyze its numerical properties and apply it to reconstruct the analytic form of the amplitudes. The numerical method is universal, and can be automated to provide multi-scale two-loop computations for phenomenologically relevant signatures at hadron colliders.

Keywords

Cite

@article{arxiv.1703.05273,
  title  = {Two-Loop Four-Gluon Amplitudes with the Numerical Unitarity Method},
  author = {S. Abreu and F. Febres Cordero and H. Ita and M. Jaquier and B. Page and M. Zeng},
  journal= {arXiv preprint arXiv:1703.05273},
  year   = {2017}
}

Comments

6 pages, 3 figures, Mathematica files for reconstructed analytic formulae

R2 v1 2026-06-22T18:46:43.047Z