The Meson Production in Proton-Proton Collisions in Next-To-Leading Order and Infrared Renormalons

TL;DR

This paper analyzes the next-to-leading order higher-twist contributions to meson production in proton-proton collisions, exploring infrared renormalons, different coupling approaches, and the impact of meson wave functions on cross section calculations at RHIC.

Contribution

It provides a comprehensive calculation of higher-twist effects at NLO, including resummation of infrared renormalons and comparison of running versus frozen coupling methods.

Findings

Resummed higher-twist cross sections depend on meson wave functions.

Infrared renormalon singularities are identified and analyzed.

Higher-twist contributions can significantly affect meson production predictions.

Abstract

In this article, we investigate the next-to-leading order 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. We compared the resummed next-to-leading order 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 (the Borel sum) are found. It is shown that the resummed result depends on the choice of the meson wave functions used in the calculations. We discuss the phenomenological consequences of possible higher-twist contributions to the meson production in proton-proton collisions in next-to-leading order at RHIC.