Abstract
The standard analytic solution to the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi equation in Mellin space is improved by resumming the large-x divergences. Explicit results are given to next-to-leading order and next-to-leading logarithmic accuracy, which significantly reduce the parton density functions' theoretical uncertainties, more than the inclusion of next-to-next-to-leading order corrections in some cases, and is, therefore, of paramount importance for the reliable interpretation of ongoing and future experiments with hadron beams or targets, including those at the CERN Large Hadron Collider.
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