Zusammenfassung
We study perturbative and non-perturbative aspects of heavy-quark fragmentation into hadrons, emphasizing the large-x region, where x is the energy fraction of the detected hadron. We first prove that when the moment index N and the quark mass in get large simultaneously with the ratio N A / m fixed, the fragmentation function depends on this ratio alone. This opens up the way to formulate the ...
Zusammenfassung
We study perturbative and non-perturbative aspects of heavy-quark fragmentation into hadrons, emphasizing the large-x region, where x is the energy fraction of the detected hadron. We first prove that when the moment index N and the quark mass in get large simultaneously with the ratio N A / m fixed, the fragmentation function depends on this ratio alone. This opens up the way to formulate the non-perturbative contribution to the fragmentation function at large N as a shape function of in (1 - x) which is convoluted with the Sudakov-resummed perturbative result. We implement this resummation and the parametrization of the corresponding shape function using Dressed Gluon Exponentiation. The Sudakov exponent is calculated in a process independent way from a generalized splitting function which describes the emission probability of an off-shell gluon off a heavy quark. Non-perturbative corrections are parametrized based on the renormalon structure of the Sudakov exponent. They appear in moment space as an exponential factor, with a leading contribution scaling as N A / m and corrections of order (N A / m)(3) and higher. Finally, we analyze in detail the case of B-meson production in e(+)e(-) collisions, confronting the theoretical predictions with LEP experimental data by fitting them in moment space. (C) 2003 Elsevier B.V. All rights reserved.
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