Higher Twist Effects in Photon-Photon Collisions

Abstract

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.

REVTEX4, 23 pages, 7 figures

References in corpus (8)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Fragmentation Functions for Pions, Kaons, and Protons at Next-to-Leading Order
• The $\rho$ Meson Light-Cone Distribution Amplitudes of Leading Twist Revisited
• Pion and photon light-cone wave functions from the instanton vacuum
• Perturbative Effects in the Form Factor γγ^*\to πand Extraction of the Pion Wave Function from CLEO Data
• Higher Twist Effects in Proton-Proton Collisions
• High Energy Photon-Photon and Electron-Photon Collisions

Cited by in corpus (7)

• Single Meson Production in Photon-Photon Collisions and Infrared Renormalons
• Meson Wave Functions From Holographic Qcd And The Role Of Infrared Renormalons In Proton-Proton Collisions
• Inclusive Gluon Production in Pion-Proton Collisions and the Principle Maximum Conformality Renormalization Scale
• Pion wave functions from holographic QCD and the role of infrared renormalons in photon-photon collisions
• Meson Production in Proton-Proton Collisions in the Naive Non-Abelianization Approximation and the Role of Infrared Renormalons
• The inclusive production of charged pion pairs in proton-antiproton collisions
• Higher-twist mechanism and inclusive gluon production in pion-proton collisions