Abstract
We present progress in development of the truncated Mellin moments approach (TMMA). We show our recent results on the generalization of DGLAP evolution equations and discuss some their applications in spin physics.
Highlights
According to the factorization theorem, the cross sections for DIS reactions and some classes of hadron - hadron collisions can be expressed as convolution of two parts: a short-distance perturbative and a long-distance nonperturbative ones
We have shown that the truncated Mellin moments of the PDFs, 1 z xn−1f (x)dx, satisfy the DGLAP evolution equations and can be an additional tool in the QCD analysis of structure functions
Truncated Mellin moments approach The main finding of the truncated Mellin moments approach (TMMA) is that the generalized truncated moments (CMM) obtained by multiple integrations as well as multiple differentiations of the original parton distribution satisfy the DGLAP equations with the transformed evolution kernel [4,5,6]
Summary
According to the factorization theorem, the cross sections for DIS reactions and some classes of hadron - hadron collisions can be expressed as convolution of two parts: a short-distance perturbative and a long-distance nonperturbative ones. The evolution of these functions with the interaction scale Q2 is again described with the use of the perturbative QCD methods. We have shown that the truncated Mellin moments of the PDFs, 1 z xn−1f (x)dx, satisfy the DGLAP evolution equations and can be an additional tool in the QCD analysis of structure functions.
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