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A two-loop five-gluon helicity amplitude in QCD

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Abstract

We compute the planar part of the two-loop five gluon amplitude with all helicities positive. To perform the calculation we develop a D-dimensional generalized unitarity procedure allowing us to reconstruct the amplitude by cutting into products of six-dimensional trees. We find a compact form for the integrand which only requires topologies with six or more propagators. We perform cross checks of the universal infra-red structure using numerical integration techniques.

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Authors and Affiliations

  1. Niels Bohr International Academy and Discovery Center, The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100, Copenhagen, Denmark

    Simon Badger, Hjalte Frellesvig & Yang Zhang

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Roma, P.le Aldo Moro 2, 00185, Roma, Italy

    Hjalte Frellesvig

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  1. Simon Badger
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  2. Hjalte Frellesvig
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  3. Yang Zhang
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Correspondence to Simon Badger.

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ArXiv ePrint: 1310.1051

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Badger, S., Frellesvig, H. & Zhang, Y. A two-loop five-gluon helicity amplitude in QCD. J. High Energ. Phys. 2013, 45 (2013). https://doi.org/10.1007/JHEP12(2013)045

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