Single Meson Production in Photon-Photon Collisions and Infrared Renormalons

Autor: Ahmadov, A. I., Aydin, Coskun, Dadashov, E. A., Nagiyev, Sh. M.
Rok vydání: 2009
Předmět:
Zdroj: Phys.Rev.D81:054016,2010
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.81.054016
Popis: In this article, we investigate the contribution of the higher-twist Feynman diagrams to the large-$p_T$ inclusive single meson production cross section in photon-photon collisions and present the general formulas for the higher-twist differential cross sections in 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 approach and leading-twist cross section. We obtain, that ratio $R=(\Sigma_{M^{+}}^{HT})^{res}$ / $(\Sigma_{M^{+}}^{HT})^{0}$, for all values of the transverse momentum $p_{T}$ of the meson identically equivalent to ratio $r$=($\Delta_{M}^{HT})^{res}$ / $(\Delta_{M}^{HT})^{0}$. 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.
Comment: 45 pages, 33 figures, 4 tables
Databáze: arXiv