The Meson Production in Proton–proton Collisions in Next-to-Leading Order and Infrared Renormalons

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 highertwist 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.

Inclusive gluon production in pion-proton collisions and the principle of maximum conformality renormalization scale

“…We can see in Figs. 2,3,5,6,10,11,13, and 14 that cross sections for twist-3 distribution amplitudes calculated within PMC/BLM schemes are significantly different from the others. This behaviour can be explained by the following: first, in the twist-3 distribution amplitude defined in Eq.…”

“…Using the frozen and running coupling constant approaches the higher twist effects were already calculated by many authors [3][4][5][6][7][8][9][10][11][12][13][14][15].…”

Higher-Twist Mechanism and Inclusive Gluon Production in Pion-Proton Collisions

“…The aim of this study is calculation and analysis of the inclusive gluon production in the pion-proton collisions using the frozen and running coupling constant approaches. Using this approaches, the higher twist effects have been already calculated by many authors [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16].…”

“…Studying various properties of the hadron infrared renormalon effects in detail is one of the essential and actual problems in the pQCD [18][19][20][21][22][23][24][25][26]. This approach was also employed before [5][6][7][8][9][10][11] to calculate the inclusive meson production in pp and γγ collisions.…”

Higher-twist effects in the direct photon production and the role of infrared renormalons

“…This approach was also employed before [29][30][31][32][33][34] to calculate the inclusive meson production in pp and collisions.…”