Meson Production in Proton-Proton Collisions in the Naive Non-Abelianization Approximation and the Role of Infrared Renormalons

TL;DR

This paper investigates higher-twist contributions to pion production in proton-proton collisions using the naive non-abelianization approximation, analyzing infrared renormalons and comparing resummed and frozen coupling approaches.

Contribution

It introduces a detailed analysis of higher-twist effects and infrared renormalons in meson production, providing new insights into the role of NNA in high-energy collisions.

Findings

Resummed NNA higher-twist cross sections differ from frozen coupling results.

Infrared renormalon singularities significantly influence the cross section calculations.

Higher-twist contributions may have observable phenomenological effects in proton-proton collisions.

Abstract

We calculate the "naive non-abelianization" (NNA) contributions of the higher-twist Feynman diagrams to the large-$p_T$ inclusive pion production cross section in proton-proton collisions in the case of the running coupling and frozen coupling approaches. We compare the resummed "naive non-abelianization" higher-twist cross sections with the ones obtained in the framework of the frozen coupling approach and leading-twist cross section. The structure of infrared renormalon singularities of the higher twist subprocess cross section and it's resummed expression are found. We discuss the phenomenological consequences of possible higher-twist contributions to the pion production in proton-proton collisions in within NNA.