Closed-Form Decomposition of One-Loop Massive Amplitudes

Mar, 2008
37 pages
Published in:
  • Phys.Rev.D 78 (2008) 025031
e-Print:
Report number:
  • CERN-PH-TH-2008-050,
  • ITFA-2008-06

Citations per year

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Abstract: (arXiv)
We present formulas for the coefficients of 2-, 3-, 4- and 5-point master integrals for one-loop massive amplitudes. The coefficients are derived from unitarity cuts in D dimensions. The input parameters can be read off from any unitarity-cut integrand, as assembled from tree-level expressions, after simple algebraic manipulations. The formulas presented here are suitable for analytical as well as numerical evaluation. Their validity is confirmed in two known cases of helicity amplitudes contributing to gg -> gg and gg -> gH, where the masses of the Higgs and the fermion circulating in the loop are kept as free parameters.
Note:
  • 37 pages
  • 11.15.Bt
  • quantum chromodynamics
  • scattering amplitude: multigluon
  • any-dimensional
  • unitarity
  • Feynman graph: higher-order
  • phase space
  • n-point function
  • helicity
  • NLO Computations