Scaling Violations beyond the Leading Order

  • R. Petronzio
  • W. Furmanski
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 70)


This second part of lectures concerns the explicit construction of a method12) which generalizes beyond leading order the simple probabilistic interpretation of leading scaling violations. The results obtained in this language allow to predict the evolution with the variation of external invariants not only of “space-like” processes, where the off-shell partons starting the hard interaction have space-like four momenta, like in the case of deep inelastic scattering or Drell-Yan, but also of “time-like” processes, like the one-particle inclusive e+e annihilation, where the partons acting in the fragmentation functions have “time-like” off-shell invariant masses. Alternative methods exist, the operator product expansion in the first case3) and the cut-vertices formalism in the second one4), for computing equivalent quantities, i.e. the evolution of the moments of struc­ture/fragmentation functions, where, however, one cannot establish a probabilistic picture.


Fragmentation Function Operator Product Expansion Deep Inelastic Scattering Perturbative Expansion Leading Order 
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Copyright information

© Plenum Press, New York 1981

Authors and Affiliations

  • R. Petronzio
    • 1
  • W. Furmanski
    • 2
  1. 1.CERNGenevaSwitzerland
  2. 2.Jagellonian UniversityKrakowPoland

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