Nonperturbative contribution to the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi and Gribov-Levin-Ryskin equation

Abstract

By studying the nonperturbative contribution to the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi and Gribov-Levin-Ryskin equation, it is found that (i) the nonperturbative contribution suppresses the evolution rate at the low Q2, small-x region; (ii) the nonperturbative contribution weakens the shadowing effect. The method in this paper suggests a smooth transition from the low Q2 ("soft"), where nonperturbative contribution dominates, to the large Q2 ("hard") region, where the perturbative contribution dominates and the nonperturbative contribution can be neglected. PACS numbers:12.38.Aw, 13.60.Hb

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