Meson wave functions from holographic QCD and the role of infrared renormalons in proton–proton collisions

Abstract

We calculate the contribution of the higher-twist Feynman diagrams to the large-pT inclusive pion production cross section in proton–proton collisions in the cases of the running and frozen coupling approaches within holographic QCD. The structure of the infrared renormalon singularities of the higher-twist subprocess cross section and its resummed expression are found. We compare the resummed higher-twist cross sections with the ones obtained in the framework of the frozen coupling approximation and the leading-twist cross section. We discuss the phenomenological consequences of possible higher-twist contributions to the pion production in proton–proton collisions within holographic QCD.