Infrared renormalons and single meson production in proton-proton collisions

Abstract

In this article, we investigate the contribution of the higher twist Feynman diagrams to the large-$p_T$ inclusive pion production cross section in proton-proton collisions and present the general formulae for the higher twist differential cross sections in the case of the running coupling and frozen coupling approaches. The structure of infrared renormalon singularities of the higher twist subprocess cross section and the resummed expression (the Borel sum) for it are found. We compared the resummed higher twist cross sections with the ones obtained in the framework of the frozen coupling approximation and leading twist cross section. We obtain, that ratio $R$ for all values of the transverse momentum $p_T$ of the pion identical equivalent to ratio $r$. It is shown that the resummed result depends on the choice of the meson wave functions used in calculation. Phenomenological effects of the obtained results are discussed.

28 pages, 13 figures

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Cited by in corpus (8)

• Single Meson Production in Photon-Photon Collisions and Infrared Renormalons
• Meson Wave Functions From Holographic Qcd And The Role Of Infrared Renormalons In Proton-Proton Collisions
• Inclusive Gluon Production in Pion-Proton Collisions and the Principle Maximum Conformality Renormalization Scale
• The Meson Production in Proton-Proton Collisions in Next-To-Leading Order and Infrared Renormalons
• Pion wave functions from holographic QCD and the role of infrared renormalons in photon-photon collisions
• Meson Production in Proton-Proton Collisions in the Naive Non-Abelianization Approximation and the Role of Infrared Renormalons
• Higher-twist mechanism and inclusive gluon production in pion-proton collisions
• The inclusive production of charged pion pairs in proton-antiproton collisions