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All non-maximally-helicity-violating one-loop seven-gluon amplitudes in N=4 super-Yang-Mills theory

Zvi Bern

Vittorio Del Duca

Lance J. Dixon

David A. Kosower

  • Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547, USA

  • Istituto Nazionale di Fisica Nucleare, Sezione di Torino via P. Giuria, 1-10125 Torino, Italy

  • Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309, USA and Institute of Particle Physics Phenomenology, Department of Physics, University of Durham, Durham DH1 3LE, United Kingdom

  • Service de Physique Théorique, CEA–Saclay, F-91191 Gif-sur-Yvette cedex, France

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Phys. Rev. D 71, 045006 – Published 10 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.045006

Abstract

We compute the non-MHV (non-maximally-helicity-violating) one-loop seven-gluon amplitudes in N=4 super-Yang-Mills theory, which contain three negative-helicity gluons and four positive-helicity gluons. There are four independent color-ordered amplitudes, (--−++++), (--+−+++), (--++−++) and (−+−+−++). The MHV amplitudes containing two negative-helicity and five positive-helicity gluons were computed previously, so all independent one-loop seven-gluon helicity amplitudes are now known for this theory. We present partial information about an infinite sequence of next-to-MHV one-loop helicity amplitudes, with three negative-helicity and n−3 positive-helicity gluons, and the color ordering (--−++⋯++); we give a new coefficient of one class of integral functions entering this amplitude. We discuss the twistor-space properties of the box-integral-function coefficients in the amplitudes, which are quite simple and suggestive.

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Phys. Rev. D 71, 045006– Published 10 February, 2005
  • Received 9 November 2004

© 2005 American Physical Society

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