Two-Loop Four-Gluon Amplitudes from Numerical Unitarity

Mar 15, 2017
6 pages
Published in:
  • Phys.Rev.Lett. 119 (2017) 14, 142001
  • Published: Oct 5, 2017
e-Print:
Report number:
  • FR-PHENO-2017-007,
  • UCLA-17-TEP-103

Citations per year

2017201920212023202505101520
Abstract: (APS)
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 in the leading-color approximation. 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 multiscale two-loop computations for phenomenologically relevant signatures at hadron colliders.
Note:
  • 6 pages, 3 figures, Mathematica files for reconstructed analytic formulae
  • unitarity
  • quantum chromodynamics: correction
  • higher-order: 2
  • numerical calculations
  • numerical methods
  • CERN LHC Coll