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Title: Single meson production in photon-photon collisions and infrared renormalons

Abstract

In this article, we investigate the contribution of the higher-twist Feynman diagrams to the large-p{sub 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}{sub M}{sup +HT}){sup res}/({Sigma}{sub M}{sup +HT}){sup 0}, for all values of the transverse momentum p{sub T} of the meson identically equivalent to ratio r=({Delta}{sub M}{sup HT}){sup res}/({Delta}{sub M}{sup HT}){sup 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.

Authors:
 [1];  [2];  [3]; ;  [4]
  1. Institut fuer Theoretische Physik E, RWTH Aachen University, D-52056 Aachen (Germany)
  2. (Azerbaijan)
  3. Department of Physics, Karadeniz Technical University, 61080, Trabzon (Turkey)
  4. Institute of Physics of Azerbaijan National Academy of Sciences, H. Javid Avenue, 33, AZ-1143, Baku (Azerbaijan)
Publication Date:
OSTI Identifier:
21409848
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 81; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevD.81.054016; (c) 2010 The American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COUPLING; DIFFERENTIAL CROSS SECTIONS; FEYNMAN DIAGRAM; MESONS; PARTICLE PRODUCTION; PHOTON-PHOTON INTERACTIONS; SINGULARITY; TRANSVERSE MOMENTUM; WAVE FUNCTIONS; BASIC INTERACTIONS; BOSONS; CROSS SECTIONS; DIAGRAMS; ELECTROMAGNETIC INTERACTIONS; ELEMENTARY PARTICLES; FUNCTIONS; HADRONS; INFORMATION; INTERACTIONS; LINEAR MOMENTUM; PARTICLE INTERACTIONS

Citation Formats

Ahmadov, A. I., Department of Theoretical Physics, Baku State University, Z. Khalilov Street 23, AZ-1148, Baku, Aydin, Coskun, Dadashov, E. A., and Nagiyev, Sh. M. Single meson production in photon-photon collisions and infrared renormalons. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.81.054016.
Ahmadov, A. I., Department of Theoretical Physics, Baku State University, Z. Khalilov Street 23, AZ-1148, Baku, Aydin, Coskun, Dadashov, E. A., & Nagiyev, Sh. M. Single meson production in photon-photon collisions and infrared renormalons. United States. doi:10.1103/PHYSREVD.81.054016.
Ahmadov, A. I., Department of Theoretical Physics, Baku State University, Z. Khalilov Street 23, AZ-1148, Baku, Aydin, Coskun, Dadashov, E. A., and Nagiyev, Sh. M. Mon . "Single meson production in photon-photon collisions and infrared renormalons". United States. doi:10.1103/PHYSREVD.81.054016.
@article{osti_21409848,
title = {Single meson production in photon-photon collisions and infrared renormalons},
author = {Ahmadov, A. I. and Department of Theoretical Physics, Baku State University, Z. Khalilov Street 23, AZ-1148, Baku and Aydin, Coskun and Dadashov, E. A. and Nagiyev, Sh. M.},
abstractNote = {In this article, we investigate the contribution of the higher-twist Feynman diagrams to the large-p{sub 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}{sub M}{sup +HT}){sup res}/({Sigma}{sub M}{sup +HT}){sup 0}, for all values of the transverse momentum p{sub T} of the meson identically equivalent to ratio r=({Delta}{sub M}{sup HT}){sup res}/({Delta}{sub M}{sup HT}){sup 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.},
doi = {10.1103/PHYSREVD.81.054016},
journal = {Physical Review. D, Particles Fields},
number = 5,
volume = 81,
place = {United States},
year = {Mon Mar 01 00:00:00 EST 2010},
month = {Mon Mar 01 00:00:00 EST 2010}
}