Phenomenology of Power Corrections in Fragmentation Processes in e^+ e^- Annihilation
Abstract
We analyse power corrections to longitudinal and transverse fragmentation processes in e^+ e^- annihilation, based on the assumption of ultraviolet dominance of power corrections. Under this assumption, we determine the dependence of power corrections on the scaling variable x from the infrared renormalon asymptotics of leading power coefficient functions. Our results suggest that the longitudinal and transverse gluon fragmentation coefficient functions receive corrections of order 1/(x Q)^2. The power expansion breaks down at x<\Lambda/Q and has to be resummed. This resummation leads to 1/Q corrections to the longitudinal and transverse cross section, which cancel for the total cross section. We provide a simple parametrization of the x dependence of 1/Q^2 corrections to fragmentation processes and investigate perturbative corrections to the longitudinal cross section in higher orders, in view of a determination of the strong coupling.
Keywords
Cite
@article{arxiv.hep-ph/9701309,
title = {Phenomenology of Power Corrections in Fragmentation Processes in e^+ e^- Annihilation},
author = {M. Beneke and V. M. Braun and L. Magnea},
journal= {arXiv preprint arXiv:hep-ph/9701309},
year = {2009}
}
Comments
39 pages, LaTeX, 9 figures included via epsf.sty