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arXiv · 1404.5172

Cut moments and a generalization of DGLAP equations

D. Kotlorz·S. V. Mikhailov
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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.

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D. Kotlorz, S. V. Mikhailov. 2014-04-21. Cut moments and a generalization of DGLAP equations. https://doi.org/10.1007/jhep06(2014)065

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