Relativistic Correction to Color Octet J/psi Production at Hadron Colliders

Abstract

The relativistic corrections to the color-octet $J/\psi$ hadroproduction at the Tevatron and LHC are calculated up to $\mathcal{O}(v^2)$ in nonrelativistic QCD factorization frame. The short distance coefficients are obtained by matching full QCD with NRQCD results for the partonic subprocess $g+g\to J/\psi ({}^1{S}_0^{[8]},{}^3{S}_1^{[8]},{}^3{P}_J^{[8]})+g$, $q+\bar{q}\to J/\psi ({}^1{S}_0^{[8]},{}^3{S}_1^{[8]},{}^3{P}_J^{[8]})+g$ and $g+q(\bar{q})\to J/\psi ({}^1{S}_0^{[8]},{}^3{S}_1^{[8]},{}^3{P}_J^{[8]})+q(\bar{q})$. The short distance coefficient ratios of relativistic correction to leading order for color-octet states ${}^1{S}_0^{[8]}$, ${}^3{S}_1^{[8]}$, and ${}^3{P}_J^{[8]}$ at large $p_T$ are approximately -5/6, -11/6, and -31/30, respectively, for each subprocess, and it is 1/6 for color-singlet state ${}^3{S}_1^{[1]}$. If the higher order long distance matrix elements are estimated through velocity scaling rule with adopting $v^2=0.23$ and the lower order long distance matrix elements are fixed, the leading order cross sections of color-octet states are reduced by about a factor of $20\sim 40$ at large $p_T$ at both the Tevatron and the LHC. Comparing with QCD radiative corrections to color-octet states, relativistic correction is ignored along with $p_T$ increasing. Using long distance matrix elements extracted from the fit to $J/\psi$ production at the Tevatron, we can find the unpolarization cross sections of $J/\psi$ production at the LHC taking into account both QCD and relativistic corrections are changed by about $20\sim 50$ of that considering only QCD corrections. These results indicate that relativistic corrections may play an important role in $J/\psi$ production at the Tevatron and the LHC.

arXiv commentPublished version. Figures and Equations are added

References in corpus (85)

• New Generation of Parton Distributions with Uncertainties from Global QCD Analysis
• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Heavy quarkonium: progress, puzzles, and opportunities
• Improved Nonrelativistic QCD for Heavy Quark Physics
• Color-Octet Fragmentation and the psi' Surplus at the Tevatron
• Measurement of J/psi production in pp collisions at sqrt(s)=7 TeV
• NLO Production and Decay of Quarkonium
• J/psi polarization at hadron colliders in nonrelativistic QCD
• Observation of Double cc bar Production in e+ e- Annihilation at sqrt{s} ~ 10.6 GeV
• J/psi (psi') production at the Tevatron and LHC at O(α_s^4v^4) in nonrelativistic QCD
• Quarkonium Production at High-Energy Colliders
• Reconciling J/psi production at HERA, RHIC, Tevatron, and LHC with NRQCD factorization at next-to-leading order
• QCD corrections to J/psi and Upsilon production at hadron colliders
• Exclusive Double-Charmonium Production from e^+ e^- Annihilation into a Virtual Photon
• World data of J/psi production consolidate NRQCD factorization at NLO
• Measurement of J/Psi and Psi(2S) Polarization in ppbar Collisions at sqrt(s) = 1.8 TeV
• Upsilon production at the Tevatron and the LHC
• Polarizations of J/psi and psi(2S) Mesons Produced in ppbar Collisions at 1.96 TeV
• Measurement of the differential cross-sections of inclusive, prompt and non-prompt J/psi production in proton-proton collisions at sqrt(s) = 7 TeV
• Measurement of Double Charmonium Production in $e^{+}{e}^{-}$ Annihilations at $\sqrt{s}=10.6$ GeV
• J/psi, psi' and Upsilon Production at Hadron Colliders: a review
• Next-to-Leading Order QCD Correction to ${\mathbf{e}}^{+}{\mathbf{e}}^{-}\to \mathbf{J}/\mathbf{\psi }+{\mathbf{\eta }}_{\mathbf{c}}$ at $\sqrt{s}=10.6$GeV}
• QCD corrections to J/psi polarization of hadronproduction at Tevatron and LHC
• Problems of Double Charm Production in $e^{+}{e}^{-}$ Annihilation at $\sqrt{s}=10.6$ GeV
• QCD radiative corrections to ${\chi }_{cJ}$ production at hadron colliders
• Hadroproduction of J/psi and Upsilon in association with a heavy-quark pair
• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• QCD corrections to J/psi production via color octet states at Tevatron and LHC
• Relativistic corrections to $J/\psi$ exclusive and inclusive double charm production at B factories
• Exclusive J/ψProductions at e^+ e^- Colliders
• QCD corrections to J/psi plus eta_c production in e+e- annihilation at sqrt{s}=10.6 GeV
• Double charm production e^+ e^- \to J/ψ+ c \bar{c} at B factories with next-to-leading order QCD corrections
• A complete NLO calculation of the $J/\psi$ and ${\psi }^{\prime }$ production at hadron colliders
• QCD radiative correction to color-octet $J/\psi$ inclusive production at B Factories
• Resummation of Relativistic Corrections to e+ e- -> J/psi+eta_c
• Helicity Decomposition for Inclusive $J/\psi$ Production
• Annihilation of S-wave quarkonia and the measurement of alpha_s
• ${\psi }^{\prime }$ Polarization due to Color-Octet Quarkonia Production
• QCD corrections to ${\mathbf{e}}^{+}{\mathbf{e}}^{-}\to \mathbf{J}/\mathbf{\psi gg}$ at B Factories
• Next-to-Leading-Order QCD Corrections to e^ + e^- -> J/ψ+gg at the B Factories
• Quarkonium Decay Matrix Elements from Quenched Lattice QCD
• Reconciling the light-cone and nonrelativistic QCD approaches to calculating e+ e- -> J/psi + eta_c
• QCD corrections to polarization of J/ψand Υat Fermilab Tevatron and CERN LHC
• J/psi production at HERA
• Possible solution of the J/psi production puzzle
• Factorization and NLO QCD correction in e^+ e^- \to J/ψ(ψ(2S))+ χ_{c0} at B Factories}
• Search for excited charmonium states in $e^{+}{e}^{-}$ Annihilation at $\sqrt{s}=10.6$ GeV
• J/psi production in NRQCD: A global analysis of yield and polarization
• QCD predictions for annihilation decays of P-wave quarkonia to next-to-leading order in ${\alpha }_s$
• Next-to-Leading-Order QCD Corrections to e+ e- --> J/psi c c_bar at the B Factories
• QCD corrections to double J/ψproduction in e+e- annihilation at \sqrt{s}=10.6 GeV
• QCD corrections to Upsilon production via color-octet states at the Tevatron and LHC
• NRQCD matrix elements for S-wave bottomonia and Gamma[eta_b(nS) -> gamma gamma] with relativistic corrections
• Bottomonium Decay Matrix Elements from Lattice QCD with Two Light Quarks
• Relativistic correction to $e^{+}{e}^{-}\to J/\psi +gg$ at $B$ factories and constraint on color-octet matrix elements
• Relativistic corrections to gluon fragmentation into spin-triplet S-wave quarkonium
• Color Transfer in Associated Heavy-Quarkonium Production
• Inclusive Charmonium Production via Double $c\bar{c}$ in $e^{+}{e}^{-}$ Annihilation
• $O({\alpha }_s{v}^2)$ Corrections to Hadronic and Electromagnetic Decays of ${}^1{S}_0$ Heavy Quarkonium
• QCD prediction for the non-$D\bar{D}$ annihilation decay of $\psi (3770)$
• Color-singlet relativistic correction to inclusive $J/\psi$ production associated with light hadrons at $B$ factories
• Predictions of Light Hadronic Decays of Heavy Quarkonium 1D_2 States in NRQCD
• Electromagnetic Annihilation Rates of ${\chi }_{c0}$ and ${\chi }_{c2}$ with Both Relativistic and QCD Radiative Corrections
• Production of $J/\psi +c\bar{c}$ through two photons in $e^{+}{e}^{-}$ annihilation
• Spin correlations and velocity-scaling in color-octet NRQCD matrix elements
• Pseuduscalar Heavy Quarkonium Decays With Both Relativistic and QCD Radiative Corrections
• QCD corrections to e^+ e^- to J/ψ(ψ(2S))+χ_{cJ} (J=0,1,2) at B Factories
• Relativistic Correction to J/ψProduction at Hadron Colliders
• QCD Radiative Correction to the Hadronic Annihilation Rate of $1^{+-}$ Heavy Quarkonium
• ${\chi }_{cJ}$ production associated with a $c\bar{c}$ pair at hadron colliders
• $O({\alpha }_s)$ corrections to $J/\psi +{\chi }_{cJ}$ production at $B$ factories
• NRQCD Predictions of D-Wave Quarkonia ${}^3{D}_J(J=1,2,3)$ Decay into Light Hadrons at Order ${\alpha }_s^3$
• Cancellation of Infrared Divergences in Hadronic Annihilation Decays of Heavy Quarkonia
• Relativistic corrections to the axial vector and vector currents in the bar{b}c meson system at order alpha_s
• Relativistic Corrections to the Exclusive Decays of C-even Bottomonia into S-wave Charmonium Pairs
• QED contribution to the production of J/ψ+c\bar{c}+X at the Tevatron and LHC
• Relativistic Corrections for Plarized J/Ψ-Production in b-quark decay
• The Color Singlet Relativistic Correction in $J/\psi$ Photoproduction
• Spin-Flip Interactions and the Puzzle of psi's Polarization at Tevatron
• Relativistic and Binding Energy Corrections to Direct Photon Production In Upsilon Decay
• Relativistic corrections to the semi-inclusive decay of $\mathbf{\psi }$ and $\mathbf{{\rm Y}}$
• Polarization of prompt J/psi in pp -> J/psi+X at sqrt{s}=200 GeV
• Dominant Spin-Flip Effects for the Hadronic Produced $J/\psi$ Polarization at TEVATRON
• Hadronic Annihilation Decay Rates of P-wave Heavy Quarkonia with Both Relativistic and QCD Radiative Corrections

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