Calculating Scattering Amplitudes Efficiently

Abstract

We review techniques for more efficient computation of perturbative scattering amplitudes in gauge theory, in particular tree and one-loop multi-parton amplitudes in QCD. We emphasize the advantages of (1) using color and helicity information to decompose amplitudes into smaller gauge-invariant pieces, and (2) exploiting the analytic properties of these pieces, namely their cuts and poles. Other useful tools include recursion relations, special gauges and supersymmetric rearrangements.

LaTex, 45 pages with 11 encapsulated figures. Presented at the Theoretical Advanced Study Institute (TASI 95), Boulder, CO, June 4-30, 1995. Eqs. (29) and (55), and postscript bug fixed

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