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The European Physical Journal C

, Volume 70, Issue 4, pp 999–1007 | Cite as

Resummation of large logarithms in the heavy-quark effects on the parton distributions inside the virtual photon

  • Yoshio Kitadono
  • Ryo Sahara
  • Tsuneo UematsuEmail author
  • Takahiro Ueda
Regular Article - Theoretical Physics

Abstract

We discuss the resummation of the large logarithmic terms appearing in the heavy-quark effects on parton distribution functions inside the virtual photon. We incorporate heavy-quark mass effects by changing the initial condition of the leading-order DGLAP evolution equation. In a certain kinematical limit, we recover the logarithmic terms of the next-to-leading order heavy-quark effects obtained in the previous work. This method enables us to resum the large logarithmic terms due to heavy-quark mass effects on the parton distributions in the virtual photon. We numerically calculate parton distributions using the formulae derived in this work, and we discuss the property of the resummed heavy-quark effects.

Keywords

Operator Product Expansion Virtual Photon Parton Distribution Function DGLAP Equation DGLAP Evolution Equation 
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.

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  • Yoshio Kitadono
    • 1
    • 2
  • Ryo Sahara
    • 3
  • Tsuneo Uematsu
    • 3
    Email author
  • Takahiro Ueda
    • 4
  1. 1.Department of Physical Science, Faculty of ScienceHiroshima UniversityHiroshimaJapan
  2. 2.KEK Theory CentreTsukubaJapan
  3. 3.Department of Physics, Graduate School of ScienceKyoto UniversityKyotoJapan
  4. 4.Graduate School of Pure and Applied SciencesUniversity of TsukubaTsukubaJapan

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