### Abstract

The perturbative QCD fragmentation functions for a heavy quark to fragment into heavy-light mesons are studied in the heavy-quark limit. The fragmentation functions for S-wave pseudoscalar and vector mesons are calculated to next-to-leading order in the heavy-quark mass expansion using the methods of heavy-quark effective theory. The results agree with the mb→ limit of the perturbative QCD fragmentation functions for b̄ into Bc and Bc*. We discuss the application of the perturbative QCD fragmentation functions as a model for the fragmentation of heavy quarks into heavy-light mesons. Using this model we predict the fraction PV of heavy-light mesons that are produced in the vector meson state as functions of the longitudinal momentum fraction z and the transverse momentum relative to the jet axis. The fraction PV is predicted to vary from about 1/2 at small z to almost 3/4 near z=1.

Original language | English (US) |
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Pages (from-to) | 4819-4829 |

Number of pages | 11 |

Journal | Physical Review D |

Volume | 51 |

Issue number | 9 |

DOIs | |

State | Published - 1995 |

Externally published | Yes |

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

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## Cite this

*Physical Review D*,

*51*(9), 4819-4829. https://doi.org/10.1103/PhysRevD.51.4819