One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits

Details One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits

1994-03-04

arxiv.org/abs/hep-ph/9403226v2

Nucl.Phys.B425:217-260,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

52 pages (including figures), minor typographical errors corrected, SLAC-PUB-6415

Scientific paper

10.1016/0550-3213(94)90179-1

We present a technique which utilizes unitarity and collinear limits to construct ansatze for one-loop amplitudes in gauge theory. As an example, we obtain the one-loop contribution to amplitudes for $n$ gluon scattering in $N=4$ supersymmetric Yang-Mills theory with the helicity configuration of the Parke-Taylor tree amplitudes. We prove that our $N=4$ ansatz is correct using general properties of the relevant one-loop $n$-point integrals. We also give the ``splitting amplitudes'' which govern the collinear behavior of one-loop helicity amplitudes in gauge theories.

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