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Phenomenology of Power Corrections in Fragmentation Processes in e^+ e^- Annihilation

M. Beneke·V. M. Braun·L. Magnea
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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<Λ/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.

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M. Beneke, V. M. Braun, L. Magnea. 1997-01-16. Phenomenology of Power Corrections in Fragmentation Processes in e^+ e^- Annihilation. https://doi.org/10.1016/s0550-3213(97)00251-4

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