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An effective field theory approach to quarkonium at small transverse momentum

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  • Published: 20 April 2020
  • Volume 2020, article number 122, (2020)
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An effective field theory approach to quarkonium at small transverse momentum
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  • Sean Fleming1,
  • Yiannis Makris  ORCID: orcid.org/0000-0002-0103-15762 &
  • Thomas Mehen3 

  • 640 Accesses

  • 30 Citations

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A preprint version of the article is available at arXiv.

Abstract

In this work we apply effective field theory (EFT) to observables in quarkonium production and decay that are sensitive to soft gluon radiation, in particular measurements that are sensitive to small transverse momentum. Within the EFT framework we study χQ decay to light quarks followed by the fragmentation of those quarks to light hadrons. We derive a factorization theorem that involves transverse momentum distribution (TMD) fragmentation functions and new quarkonium TMD shape functions. We derive renormalization group equations, both in rapidity and virtuality, which are used to evolve the different terms in the factorization theorem to resum large logarithms. This theoretical framework will provide a systematic treatment of quarkonium production and decay processes in TMD sensitive measurements.

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Authors and Affiliations

  1. Department of Physics, University of Arizona, Tucson, AZ, 85721, USA

    Sean Fleming

  2. INFN Sezione di Pavia, via Bassi 6, I-27100, Pavia, Italy

    Yiannis Makris

  3. Department of Physics, Duke University, Durham, NC, 27708, USA

    Thomas Mehen

Authors
  1. Sean Fleming
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  2. Yiannis Makris
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Correspondence to Yiannis Makris.

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ArXiv ePrint: 1910.03586

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Cite this article

Fleming, S., Makris, Y. & Mehen, T. An effective field theory approach to quarkonium at small transverse momentum. J. High Energ. Phys. 2020, 122 (2020). https://doi.org/10.1007/JHEP04(2020)122

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  • Received: 24 October 2019

  • Revised: 11 March 2020

  • Accepted: 06 April 2020

  • Published: 20 April 2020

  • DOI: https://doi.org/10.1007/JHEP04(2020)122

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Keywords

  • Effective Field Theories
  • Perturbative QCD
  • Resummation
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