Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-08-17
JHEP 0803:003,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
29 pages with 8 figures; references updated in rsponse to readers' suggestions
Scientific paper
10.1088/1126-6708/2008/03/003
Recent progress in unitarity techniques for one-loop scattering amplitudes makes a numerical implementation of this method possible. We present a 4-dimensional unitarity method for calculating the cut-constructible part of amplitudes and implement the method in a numerical procedure. Our technique can be applied to any one-loop scattering amplitude and offers the possibility that one-loop calculations can be performed in an automatic fashion, as tree-level amplitudes are currently done. Instead of individual Feynman diagrams, the ingredients for our one-loop evaluation are tree-level amplitudes, which are often already known. To study the practicality of this method we evaluate the cut-constructible part of the 4, 5 and 6 gluon one-loop amplitudes numerically, using the analytically known 4, 5 and 6 gluon tree-level amplitudes. Comparisons with analytic answers are performed to ascertain the numerical accuracy of the method.
Ellis Keith R.
Giele Walter T.
Kunszt Zoltan
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