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arXiv · 2602.15694

Charm and strange meson fragmentation functions

Roberto C. da Silveira·Ian C. Cloët·Bruno El-Bennich·Fernando E. Serna
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Abstract

Quark fragmentation functions describe the hadronization process of a quark where any of the final-state hadrons carries a fraction of its initial momentum. We compute these fragmentation functions for a cascade that includes pions, kaons, and the charmed $D$ and $D_s$ mesons, starting from the elementary quark-to-meson fragmentation process. The latter is obtained from the relevant cut diagram, and employs Poincar\'e covariant Bethe-Salpeter wave functions and quark propagators. We derive a set of twenty-five coupled jet equations that describe the cascade of emitted mesons in the fragmentation process. Their solutions yield full fragmentation functions that offer a consistent picture of the quark fragmentations across the light and heavy sectors.

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Roberto C. da Silveira, Ian C. Cloët, Bruno El-Bennich, Fernando E. Serna. 2026-02-17. Charm and strange meson fragmentation functions. https://arxiv.org/abs/2602.15694

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