Cut moments and a generalization of DGLAP equations

Abstract

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 $f(x,{\mu }^2)$ as well as ones obtained by multiple differentiations of this $f(x,{\mu }^2)$ 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 $F=C\ast f$, where $C$ is the coefficient function of the process.

arXiv comment11 pages

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Cited by in corpus (4)

• Optimized determination of the polarized Bjorken sum rule in pQCD
• Cut Moments approach in the analysis of DIS data
• Analysis of DIS structure functions of the nucleon within truncated Mellin moments approach
• Generalized DGLAP evolution