Relativistic corrections to double charmonium production in high energy proton-proton interaction

Abstract

On the basis of pertubative QCD and the relativistic quark model we calculate relativistic corrections to the process of pair $J/\psi$ production in proton-proton collisions at LHC energy $\sqrt{S}=7$ TeV. Relativistic terms in the production amplitude connected with the relative motion of heavy quarks and the transformation law of the bound state wave functions to the reference frame of moving $J/\psi$ mesons are taken into account. For the gluon and quark propagators entering the amplitude we use a truncated expansion in relative quark momenta up to the second order. Relativistic corrections to the quark bound state wave functions are considered by means of the Breit-like potential. It turns out that the examined effects decrease initial nonrelativistic cross section more than two times. The final result lies below the experimental value measured by LHCb.

18 pages, 5 figures

References in corpus (12)

• Heavy quarkonium: progress, puzzles, and opportunities
• QCD corrections to J/psi and Upsilon production at hadron colliders
• J/psi, psi' and Upsilon Production at Hadron Colliders: a review
• QCD corrections to J/psi polarization of hadronproduction at Tevatron and LHC
• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• Resummation of Relativistic Corrections to e+ e- -> J/psi+eta_c
• Potential-model calculation of an order-v^2 NRQCD matrix element
• Factorization and NLO QCD correction in e^+ e^- \to J/ψ(ψ(2S))+ χ_{c0} at B Factories}
• Inclusive double-quarkonium production at the Large Hadron Collider
• Pair Production of Heavy Quarkonium and $B_c{(}^{\ast })$ Mesons at Hadron Colliders
• Relativistic effects in the production of pseudoscalar and vector doubly heavy mesons from e^+e^- annihilation
• Relativistic description of the double charmonium production in $e^{+}{e}^{-}$ annihilation

Cited by in corpus (17)

• Complete Nonrelativistic-QCD Prediction for Prompt Double $J/\psi$ Hadroproduction
• Relativistic Correction to J/psi and Upsilon Pair Production
• Double parton scattering in pair-production of $J/\psi$ mesons at the LHC revisited
• Pair double heavy diquark production in high energy proton-proton collisions
• Relativistic corrections to the pair double heavy diquark production in e^+e^- annihilation
• Relativistic corrections to the pair $B_c$-meson production in $e^{+}{e}^{-}$ annihilation
• ${\rm Y}$-meson pair production at LHC
• Higgs boson decay to paired $B_c$: relativistic and one-loop corrections
• Relativistic corrections to paired production of charmonium and bottomonium in decays of the Higgs boson
• Exclusive and diffractive quarkonium -- pair production at the LHC and FCC
• Higgs boson decay to the pair of S- and P-wave $B_c$ mesons
• Photonic production of the pair of $B_c$ mesons
• Relativistic corrections to prompt $J/\psi$ photo- and hadroproduction
• Relativistic corrections to η_c-pair production in high energy proton-proton collisions
• Photoproduction of the double $J/\psi$ (${\rm Y}$) at the LHC with forward proton tagging
• Double heavy quarkonium production in diffractive processes at the Run 2 LHC energy
• Prompt $J/\psi$ production in associated with top quark pair at the LHC