Cut moments and a generalization of DGLAP equations

  • D. Kotlorz
  • S.V. Mikhailov
Open Access


We elaborate a cut (truncated) Mellin moments (CMM) approach that is constructed to study deep inelastic scattering in lepton-hadron collisions at the natural kinematic constraints. We show that generalized CMM obtained by multiple integrations of the original parton distribution f (x, μ 2) as well as ones obtained by multiple differentiations of this f (x, μ 2) also satisfy the DGLAP equations with the correspondingly transformed evolution kernel P (z). Appropriate classes of CMM for the available experimental kinematic range are suggested and analyzed. Similar relations can be obtained for the structure functions F (x), being the Mellin convolution F = C * f , where C is the coefficient function of the process.


Deep Inelastic Scattering Renormalization Group QCD 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2014

Authors and Affiliations

  1. 1.Opole University of Technology, Division of PhysicsOpolePoland
  2. 2.Bogoliubov Laboratory of Theoretical Physics, JINRDubnaRussia

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