Charmed-Meson Fragmentation Functions with Finite-Mass Corrections

Abstract

We elaborate the inclusive production of single heavy-flavored hadrons in e^+e^- annihilation at next-to-leading order in the general-mass variable-flavor-number scheme. In this framework, we determine non-perturbative fragmentation functions for D^0, D^+, and D^{*+} mesons by fitting experimental data from the Belle, CLEO, ALEPH, and OPAL Collaborations, taking dominant electroweak corrections due to photonic initial-state radiation into account. We assess the significance of finite-mass effects through comparisons with a similar analysis in the zero-mass variable-flavor-number scheme. Under Belle and CLEO experimental conditions, charmed-hadron mass effects on the phase space turn out to be appreciable, while charm-quark mass effects on the partonic matrix elements are less important.

35 pages, 19 figures; comparisons with experimental branching and average energy fractions and with previous fragmentation function sets included, references added, to appear in Nucl. Phys. B

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