Gluon Fragmentation into P-wave Heavy Quarkonium

Abstract

The fragmentation functions for gluons to split into P-wave heavy quarkonium states are calculated to leading order in the QCD coupling constant. 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 heavy-quark-antiquark pair that is produced in a color-octet S-wave state to form a color-singlet P-wave bound state. The fragmentation probabilities for a high transverse momentum gluon to split into the P-wave charmonium states ${\chi }_{c0}$, ${\chi }_{c1}$, and ${\chi }_{c2}$ are estimated to be $0.4\times 10^{-4}$, $1.8\times 10^{-4}$, and $2.4\times 10^{-4}$, respectively. This fragmentation process may account for a significant fraction of the rate for the inclusive production of ${\chi }_{cJ}$ at large transverse momentum in $p\bar{p}$ colliders.

12 pages LATEX ( plus 2 figures available on request) FERMILAB-PUB-94/040-T

References in corpus (8)

• 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
• P-Wave Charmonium Production in B-Meson Decays
• Heavy Quark Fragmentation to Baryons Containing Two Heavy Quarks
• Heavy Quark Fragmentation to Polarised Quarkonium
• ${\rm Y}$ decay into charmonium and the color octet mechanism

Cited by in corpus (80)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Phenomenology of Heavy Meson Chiral Lagrangians
• Color-octet quarkonia production
• Color-Octet Fragmentation and the psi' Surplus at the Tevatron
• Color-octet quarkonia production II
• NLO Production and Decay of Quarkonium
• J/psi, psi' and Upsilon Production at Hadron Colliders: a review
• Fragmentation contributions to J/psi production at the Tevatron and the LHC
• Fragmentation, NRQCD and NNLO Factorization Analysis in Heavy Quarkonium Production
• Production of Heavy Quarkonium in High Energy Colliders
• Spin symmetry predictions for heavy quarkonia alignment
• New Observables in Inclusive Production of Quarkonia
• Charmonium Production at the Tevatron
• Theory of hard photoproduction
• J/psi Production via Fragmentation at the Tevatron
• Charmonium Production at High Energy in the k_T-Factorization Approach
• Prompt J/psi production at e^+e^- colliders
• ${\psi }^{\prime }$ Polarization due to Color-Octet Quarkonia Production
• Fragmentation contributions to hadroproduction of prompt $J/\psi$, ${\chi }_{cJ}$, and $\psi (2S)$ states
• Gluon Fragmentation into Spin-Triplet S-Wave Quarkonium
• Gluon fragmentation into polarized charmonium
• Heavy quarkonium fragmentation functions from a heavy quark pair. I. $S$ wave
• ${\psi }^{\prime }$ Polarization as a test of colour octet quarkonium production
• Next-to-Leading-Order QCD corrections to J/ψ(Υ)+γproduction at the LHC
• Prompt Upsilon and Psi Production at LEP
• Perturbative QCD Fragmentation Functions for Production of P-wave Mesons with Charm and Beauty
• Dimensional Regularization in Quarkonium Calculations
• Inclusive $S-$wave charmonium productions in $B$ decays
• Next-to-leading Order Calculation of the Color-Octet 3S1 Gluon Fragmentation Function for Heavy Quarkonium
• Hadronization in Z0 decay
• Relativistic corrections to gluon fragmentation into spin-triplet S-wave quarkonium
• Quarkonium Production at the Tevatron through Soft Colour Interactions
• Associated Production of Heavy Quarkonia and Electroweak Bosons at Present and Future Colliders
• Semi-analytical calculation of gluon fragmentation into ${}^1{S}_0^{[1,8]}$ quarkonia at next-to-leading order
• Spin correlations in polarizations of P-wave charmonia ${\chi }_{cJ}$ and impact on $J/\psi$ polarization
• An effective field theory approach to quarkonium at small transverse momentum
• Perturbative Prediction for Parton Fragmentation into Heavy Hadron
• A Crucial Test for Color-Octet Production Mechanism in Z^0 Decays
• Quark Fragmentation into ^3P_J Quarkonium
• Gluon Fragmentation into ${}^3{P}_J$ Quarkonium
• Particle Event Generator: A Simple-in-Use System PEGASUS version 1.0
• Heavy Quark Fragmentation Functions for D-wave Quarkonium and Charmed Beauty Mesons
• Color-Octet Contributions to J/psi Photoproduction via Fragmentation at HERA
• chi_{c1} and chi_{c2} decay angular distributions at the Fermilab Tevatron
• W Boson Inclusive Decays to Quarkonium at the LHC
• Hadronic Production of S-wave and P-wave Charmed Beauty Mesons via Heavy Quark Fragmentation
• New factorization theory for heavy quarkonium production and decay
• J/psi production via fragmentation at HERA
• Gluon fragmentation to ${}^1{D}_2$ quarkonia
• Top Quark Decays into Heavy Quark Mesons
• Heavy quarkonium photoproduction in ultrarelativistic heavy ion collisions
• Direct J/psi and psi' hadroproduction via fragmentation in the collinear parton model and k_T-factorization approach
• Charmonium Production via Fragmentation at DESY HERA
• Fully charmed tetraquarks from LHC to FCC: Natural stability from fragmentation
• An Effective Theory of Quarkonia in QCD Matter
• Bottomoniumlike states in proton collisions: Fragmentation and resummation
• Gluon fragmentation to ^3D_J quarkonia
• Next-to-leading-order QCD corrections to gluon fragmentation into ${}^1{S}_0^{(1,8)}$ quarkonia
• NLO fragmentation functions for a quark into a spin-singlet quarkonium: Same flavor case
• Gluon fragmentation into $B_c^{(\ast )}$ in NRQCD factorization
• The Next-to-Leading Order Corrections to Top Quark Decays to Heavy Quarkonia
• Average speed and its powers $v^n$ of a heavy quark in quarkonia
• Fragmentation functions for a quark into a spin-singlet quarkonium: Different flavor case
• The relativistic corrections to the fragmentation functions for a heavy quark to $B_c$ and $B_c^{\ast }$
• Helicity Probabilities For Heavy Quark Fragmentation Into Excited Mesons
• Inclusive Photoproduction of Polarized ${}^3{P}_1$ Quarkonium
• $P$-wave quarkonium wavefunctions at the origin in the $\overline{\mathrm{MS}}$ scheme
• Fragmentation function of gluon into spin-singlet $P$-wave quarkonium
• Fragmentation contributions to $J/\psi$ photoproduction at HERA
• Pseudoscalar heavy-quarkonium hadroproduction from nonrelativistic fragmentation at NLL/NLO${}^{+}$
• Next-to-leading-order QCD corrections to heavy quark fragmentation into ${}^1{S}_0^{(1,8)}$ quarkonia
• Prompt J/psi production at the LHC
• On relative contributions of fusion and fragmentation mechanisms in J/psi photoproduction at high energy
• Systematics of Heavy Quark Production at HERA
• The role of initial gluon emission in double $J/\psi$ production at central rapidities
• Color-Octet Charmonium Production in Top Quark Decays
• Resolving negative cross section of quarkonium hadroproduction using soft gluon factorization
• Gluon fragmentation into ${}^3{P}_J^{[1,8]}$ quark pair and test of NRQCD factorization at two-loop level
• Relativistic effect of $J/\psi$ hadroproduction in large $p_T$ region
• Non-Relativistic Quantum Chromodynamics in Parton Showers