Elsevier

Nuclear Physics B

Volume 435, Issues 1–2, 6 February 1995, Pages 59-101
Nuclear Physics B

Fusing gauge theory tree amplitudes into loop amplitudes

https://doi.org/10.1016/0550-3213(94)00488-ZGet rights and content

Abstract

We identify a large class of one-loop amplitudes for massless particles that can be constructed via unitarity from tree amplitudes, without any ambiguities. One-loop amplitudes for massless supersymmetric gauge theories fall into this class; in addition, many non-supersymmetric amplitudes can be rearranged to take advantage of the result. As applications, we construct the one-loop amplitudes for n-gluon scattering in N = 1 supersymmetric theories with the helicity configuration of the Parke-Taylor tree amplitudes, and for six-gluon scattering in N = 4 super-Yang-Mills theory for all helicity configurations.

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    1

    Research supported in part by the US Department of Energy under grant DE-FG03-91ER40662 and in part by the Alfred P Sloan Foundation under grant BR-3222.

    2

    Research supported by the Department of Energy under grant DE-AC03-76SF00515.

    3

    Address after Sept. 1, 1994: University College of Swansea, UK. Research supported in part by the NSF under grant PHY-9218990 and in part by the Department of Energy under grant DE-FG03-91ER40662.

    4

    Laboratory of the Direction des Sciences de la Matière of the Commissariat à l'Energie Atomique of France.

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