Cut moments and a generalization of DGLAP equations
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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.
KeywordsDeep Inelastic Scattering Renormalization Group QCD
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