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One-loop Higgs plus four gluon amplitudes: full analytic results

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  • Published: 13 January 2010
  • Volume 2010, article number 36, (2010)
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One-loop Higgs plus four gluon amplitudes: full analytic results
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  • Simon Badger1,
  • E. W. Nigel Glover2,
  • Pierpaolo Mastrolia3 &
  • …
  • Ciaran Williams2 

  • 533 Accesses

  • 47 Citations

  • 6 Altmetric

  • 1 Mention

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Abstract

We consider one-loop amplitudes of a Higgs boson coupled to gluons in the limit of a large top quark mass. We treat the Higgs as the real part of a complex field ϕ that couples to the self-dual field strengths and compute the one-loop corrections to the ϕ-NMHV amplitude, which contains one gluon of positive helicity whilst the remaining three have negative helicity. We use four-dimensional unitarity to construct the cut-containing contributions and a hybrid of Feynman diagram and recursive based techniques to determine the rational piece. Knowledge of the ϕ-NMHV contribution completes the analytic calculation of the Higgs plus four gluon amplitude. For completeness we also include expressions for the remaining helicity configurations which have been calculated elsewhere. These amplitudes are relevant for Higgs plus jet production via gluon fusion in the limit where the top quark is large compared to all other scales in the problem.

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Authors and Affiliations

  1. Deutches Elektronen-Synchrotron DESY, Platanenallee, 6, D-15738, Zeuthen, Germany

    Simon Badger

  2. Department of Physics, University of Durham, Durham, DH1 3LE, U.K.

    E. W. Nigel Glover & Ciaran Williams

  3. Theory Division, CERN, CH-1211, Geneva 23, Switzerland

    Pierpaolo Mastrolia

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  1. Simon Badger
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  2. E. W. Nigel Glover
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  3. Pierpaolo Mastrolia
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Correspondence to Simon Badger.

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ArXiv ePrint: 0909.4475

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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Badger, S., Nigel Glover, E.W., Mastrolia, P. et al. One-loop Higgs plus four gluon amplitudes: full analytic results. J. High Energ. Phys. 2010, 36 (2010). https://doi.org/10.1007/JHEP01(2010)036

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  • Received: 12 October 2009

  • Revised: 10 December 2009

  • Accepted: 11 December 2009

  • Published: 13 January 2010

  • DOI: https://doi.org/10.1007/JHEP01(2010)036

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Keywords

  • Higgs Physics
  • Jets
  • NLO Computations
  • QCD
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