Perturbative QCD Fragmentation Functions for Production of P-wave Mesons with Charm and Beauty

Abstract

We calculate the leading order QCD fragmentation functions for the production of $P$-wave charmed beauty mesons. Long-distance effects are factored into two nonperturbative parameters: the derivative of the radial wavefunction at the origin and a second parameter related to the probability for a $(\bar{b}c)$ heavy quark pair that is produced in a color-octet $S$-wave state to form a color-singlet $P$-wave bound state. The four $2P$ states and those $3P$ states which lie below the $BD$ flavor threshold eventually all decay into the $1S$ ground state $B_c$ through hadronic cascades or by emitting photons. The total fragmentation probabilities for production of the $1S$ ground state $B_c$ from the cascades of the $2P$ and $3P$ states are about $1.7\times 10^{-4}$ and $2.3\times 10^{-4}$ respectively. Thus the direct production of the $P$-wave states via fragmentation may account for a significant fraction of the inclusive production rate of the $B_c$ at large transverse momentum in high energy colliders. Our analytic results for the $P$-wave fragmentation functions disagree with those obtained earlier in the literature.

31 pages, Latex file, 1 figure (postscript file appended at the end)

References in corpus (15)

• Improved Nonrelativistic QCD for Heavy Quark Physics
• Mesons with Beauty and Charm: Spectroscopy
• Gluon Fragmentation into Heavy Quarkonium
• Z^0 Decay into Charmonium via Charm Quark Fragmentation
• Rigorous QCD Predictions for Decays of P-Wave Quarkonia
• Perturbative QCD Fragmentation Functions for $B_c$ and $B_c^{\ast }$ Production
• Fragmentation production of J/psi and psi' at the Tevatron
• P-Wave Charmonium Production in B-Meson Decays
• J/psi Production via Fragmentation at the Tevatron
• Gluon Fragmentation into P-wave Heavy Quarkonium
• Heavy Quark Fragmentation into Heavy Mesons
• $B_c$ Mesons Production at Hadron Colliders by Heavy Quark Fragmentation
• $B_c$ Meson Productions Via Induced Gluon Fragmentation
• Spin Alignment in the Production of Vector Mesons with Charm and/or Beauty via Heavy Quark Fragmentation
• $B_c$ Physics at Hadron Colliders

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