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Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power

Journal of High Energy Physics volume 2019, Article number: 2 (2019) Cite this article

A preprint version of the article is available at arXiv.

Abstract

Perturbative cross-sections in QCD are beset by logarithms of kinematic invariants, whose arguments vanish when heavy particles are produced near threshold. Contributions of this type often need to be summed to all orders in the coupling, in order to improve the behaviour of the perturbative expansion, and it has long been known how to do this at leading power in the threshold variable, using a variety of approaches. Recently, the problem of extending this resummation to logarithms suppressed by a single power of the threshold variable has received considerable attention. In this paper, we show that such next-to-leading power (NLP) contributions can indeed be resummed, to leading logarithmic (LL) accuracy, for any QCD process with a colour-singlet final state, using a direct generalisation of the diagrammatic methods available at leading power. We compare our results with other approaches, and comment on the implications for further generalisations beyond leading-logarithmic accuracy.

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Authors and Affiliations

  1. Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, 327 Mile End Road, London, E1 4NS, U.K.

    N. Bahjat-Abbas & C. D. White

  2. Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Straße 9, D-48149, Münster, Germany

    D. Bonocore

  3. ITFA, University of Amsterdam, Science Park 904, Amsterdam, The Netherlands

    J. Sinninghe Damsté & E. Laenen

  4. Nikhef, Science Park 105, NL-1098 XG, Amsterdam, The Netherlands

    J. Sinninghe Damsté, E. Laenen & L. Vernazza

  5. ITF, Utrecht University, Leuvenlaan 4, Utrecht, The Netherlands

    E. Laenen

  6. Dipartimento di Fisica Teorica and Arnold-Regge Center, Università di Torino, and INFN, Sezione di Torino, Via Pietro Giuria 1, I-10125, Torino, Italy

    L. Magnea

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  1. N. Bahjat-Abbas
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Correspondence to C. D. White.

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ArXiv ePrint: 1905.13710

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Bahjat-Abbas, N., Bonocore, D., Sinninghe Damsté, J. et al. Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power. J. High Energ. Phys. 2019, 2 (2019). https://doi.org/10.1007/JHEP11(2019)002

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  • DOI: https://doi.org/10.1007/JHEP11(2019)002

Keywords

  • QCD Phenomenology