Arbitrary Parton Cross-Sections — Unique Asymptotic Freedom Predictions

  • B. Humpert
  • W. L. van Neerven
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 55)


In the framework of asymptotic free (AF) field theories (mainly \(\phi _6^3\))we expose by simple examples the arbitrariness of perturbative parton cross sections due to the ultraviolet (UV), mass (M) and the infrared (IR) divergences and their regularisation. Establishing a one-to-one correspondence between the renormalization group (RG) approach and the Feynman diagram calculations we gain insight into the importance of M-factorization to arrive at unique AF-predictions. We give details of the parton cross sections for deep-inelastic (DI) scattering and Drell-Yan (DY) massive lepton-pair production.


Renormalization Group Feynman Diagram Operator Product Expansion Dimensional Regularisation Parton Cross Section 
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Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • B. Humpert
    • 1
  • W. L. van Neerven
    • 1
  1. 1.CERNGenevaSwitzerland

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