Higher Twist Effects in Photon-Photon Collisions

In this article, we investigate the contribution of the high twist Feynman diagrams to the large \(p_{T}\) single pseudoscalar and vector mesons inclusive production cross section in two-photon collisions and we present the general formulae for the high and leading twist differential cross sections....

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Bibliographic Details
Published in:arXiv.org 2006-11
Main Authors: Ahmadov, A I, Boztosun, I, Soylu, A, Dadashov, E A
Format: Article
Language:English
Subjects:
Asymptotic properties
Collisions
Cross-sections
Dependence
Electrons
Feynman diagrams
Helium
Mathematical analysis
Rho-mesons
Transverse momentum
Vector mesons
Wave functions
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Summary:In this article, we investigate the contribution of the high twist Feynman diagrams to the large \(p_{T}\) single pseudoscalar and vector mesons inclusive production cross section in two-photon collisions and we present the general formulae for the high and leading twist differential cross sections. The pion wave function where two non-trivial Gegenbauer coefficients \(a_2\) and \(a_4\) have been extracted from the CLEO data, Braun-Filyanov pion wave function, the asymptotic and the Chernyak-Zhitnitsky wave functions are used in the calculations. For \(\rho\)-meson we used Ball-Braun wave function. The results of all the calculations reveal that the high twist cross sections, the ratio R, the dependence transverse momentum \(p_{T}\) and the rapidity \(y\) of meson in \(\Phi_{CLEO}(x,Q^2)\) wave function case is very close to the \(\Phi_{asy}(x)\) asymptotic wave function case. It is shown that the high twist contribution to the cross section depends on the choice of the meson wave functions.
ISSN:2331-8422
DOI:10.48550/arxiv.0611365