Bootstrapping multiparton loop amplitudes in QCD

Zvi Bern, Lance J. Dixon, and David A. Kosower
Phys. Rev. D 73, 065013 – Published 13 March 2006

Abstract

We present a new method for computing complete one-loop amplitudes, including their rational parts, in nonsupersymmetric gauge theory. This method merges the unitarity method with on-shell recursion relations. It systematizes a unitarity-factorization bootstrap approach previously applied by the authors to the one-loop amplitudes required for next-to-leading order QCD corrections to the processes e+eZ,γ*4 jets and ppW+2 jets. We illustrate the method by reproducing the one-loop color-ordered five-gluon helicity amplitudes in QCD that interfere with the tree amplitude, namely A5;1(1,2,3+,4+,5+) and A5;1(1,2+,3,4+,5+). Then we describe the construction of the six- and seven-gluon amplitudes with two adjacent negative-helicity gluons, A6;1(1,2,3+,4+,5+,6+) and A7;1(1,2,3+,4+,5+,6+,7+), which uses the previously-computed logarithmic parts of the amplitudes as input. We present a compact expression for the six-gluon amplitude. No loop integrals are required to obtain the rational parts.

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  • Received 25 August 2005

DOI:https://doi.org/10.1103/PhysRevD.73.065013

©2006 American Physical Society

Authors & Affiliations

Zvi Bern1, Lance J. Dixon2, and David A. Kosower3

  • 1Department of Physics and Astronomy, UCLA, Los Angeles, California 90095, USA
  • 2Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309, USA
  • 3Service de Physique Théorique*, CEA–Saclay, F–91191 Gif-sur-Yvette cedex, France

  • *Laboratory of the Direction des Sciences de la Matière of the Commissariat à l’Energie Atomique of France

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Issue

Vol. 73, Iss. 6 — 15 March 2006

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