Heavy Quark Fragmentation Functions for D-wave Quarkonium and Charmed Beauty Mesons

Abstract

At the large transverse momentum region, the production of heavy-heavy bound-states such as charmonium, bottomonium, and $\bar{b}c$ mesons in high energy $e^{+}{e}^{-}$ and hadronic collisions is dominated by parton fragmentation. We calculate the heavy quark fragmentation functions into the D-wave quarkonium and $\bar{b}c$ mesons to leading order in the strong coupling constant and in the non-relativistic expansion. In the $\bar{b}c$ meson case, one set of its D-wave states is expected to lie below the open flavor threshold. The total fragmentation probability for a $\bar{b}$ antiquark to split into the D-wave $\bar{b}c$ mesons is about $2\times 10^{-5}$, which implies that only 2\% of the total pseudo-scalar ground state $B_c$ comes from the cascades of these orbitally excited states.

26 pages in RevteX and 3 figures in postscript. Also available at http://www.ph.utexas.edu/~cheung/paper.html

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• The QCD NLO fragmentation functions for $c$ or $\bar{b}$ quark to $B_c$ or $B_c^{\ast }$ meson and their application
• A Crucial Test for Color-Octet Production Mechanism in Z^0 Decays
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• $B_c$ excitations at LHC experiments
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