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Treatment of the infrared contribution: NLO QED evolution as a pedagogic example

  • E. G. de OliveiraEmail author
  • A. D. Martin
  • M. G. Ryskin
Regular Article - Theoretical Physics

Abstract

We show that the conventional prescription used for DGLAP parton evolution at NLO has an inconsistent treatment of the contribution from the infrared (IR) region. We illustrate the problem by studying the simple example of QED evolution, treating the electron and photon as partons. The deficiency is not present in a physical approach which removes the IR divergency and allows calculation in the normal 4-dimensional space.

Keywords

Splitting Function Soft Photon Ladder Diagram Infrared Singularity Exact Cancellation 
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Notes

Acknowledgements

E.G.d.O. and M.G.R. 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
    Email author
  • A. D. Martin
    • 1
  • M. G. Ryskin
    • 1
    • 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 Institute, GatchinaSt. PetersburgRussia

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