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Treatment of heavy quarks in QCD

  • E. G. de Oliveira
  • A. D. MartinEmail author
  • M. G. Ryskin
  • A. G. Shuvaev
Regular Article - Theoretical Physics

Abstract

We show that to correctly describe the effects of the heavy-quark mass, m h , in DGLAP evolution, it is necessary to work in the so-called ‘physical’ scheme. In this way, we automatically obtain a smooth transition through the heavy-quark thresholds. Moreover, we show that to obtain NLO accuracy, it is sufficient to account for the heavy-quark mass, m h , just in the LO (one-loop) splitting function. The use of the \(\overline{\mathrm{MS}}\) factorization scheme is not appropriate, since at NLO we deal with a mixture of quarks and gluon (that is, the mass of the heavy parton is not well-defined). The formulas for the explicit m h dependence of the splitting functions, and for α s , are presented.

Keywords

Heavy Quark Coefficient Function Splitting Function NNLO Correction DGLAP Evolution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

We thank Robert Thorne for valuable discussions. EGdO and MGR thank the IPPP at the University of Durham for hospitality. This work was supported by the grant RFBR 11-02-00120-a and by the Federal Program of the Russian State RSGSS-4801.2012.2; and by FAPESP (Brazil) under contract 2012/05469-4.

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Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013

Authors and Affiliations

  • E. G. de Oliveira
    • 1
    • 2
  • A. D. Martin
    • 1
    Email author
  • M. G. Ryskin
    • 1
    • 3
  • A. G. Shuvaev
    • 3
  1. 1.Institute for Particle Physics PhenomenologyUniversity of DurhamDurhamUK
  2. 2.Instituto de FísicaUniversidade de São PauloSão PauloBrazil
  3. 3.Petersburg Nuclear Physics InstituteNRC Kurchatov InstituteGatchinaRussia

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