Kinematic Enhancement of Non-Perturbative Corrections to Quarkonium Production

Abstract

In this letter we address issues involved in quarkonium production near the boundaries of phase space. It is shown that higher-order non-perturbative contributions are enhanced in this kinematic region and lead to a breakdown of the non-relativistic (NRQCD) expansion. This breakdown is a consequence of sensitivity to the kinematics of soft gluon radiation and to the difference between partonic and hadronic phase space. We show how these large corrections can be resummed giving the dominant contribution to the cross section. The resummation leads to the introduction of non-perturbative, universal distribution functions. We discuss the importance of these shape functions for several observables, in particular the energy distribution of photo-produced $J/\psi$ close to the endpoint.

Latex 13 pages

Cited by in corpus (62)

• NLO Production and Decay of Quarkonium
• Quarkonium Production at High-Energy Colliders
• New Observables in Inclusive Production of Quarkonia
• Theory of hard photoproduction
• Inelastic photoproduction of polarised $J/\psi$
• Resumming the color-octet contribution to e+ e- -> J/psi + X
• Resummation of Large Endpoint Corrections to Color-Octet J/psi Photoproduction
• QCD analysis of inclusive B decay into charmonium
• Inelastic Production of J/psi Mesons in Photoproduction and Deep Inelastic Scattering at HERA
• Comparison of the color-evaporation model and the NRQCD factorization approach in charmonium production
• Quarkonium Photoproduction at Next-to-leading Order
• A Phenomenological Analysis of Gluon Mass Effects in Inclusive Radiative Decays of the $J/\psi$ and $Υ
• Quarkonium momentum distributions in photoproduction and B decay
• Probing Quarkonium Production Mechanisms with Jet Substructure
• J/psi Inclusive Production in ep Deep-Inelastic Scattering at DESY HERA
• Transverse momentum distribution of Upsilon production in hadronic collisions
• J/psi production at the Tevatron and HERA: the effect of k_T smearing
• Are there any challenges in the charmonia production and polarization at the LHC?
• An effective field theory approach to quarkonium at small transverse momentum
• Color-singlet relativistic correction to inclusive $J/\psi$ production associated with light hadrons at $B$ factories
• eta_c Production at the Tevatron: A test of NRQCD
• Colour-Octet Effects in Radiative ${\rm Y}$ Decays
• Inclusive Charm Production in chi_b Decays
• New factorization theory for heavy quarkonium production and decay
• J/psi Production at LEP: Revisited and Resummed
• Polarized J/psi production in deep inelastic scattering at HERA
• Quarkonium Production through Hard Comover Scattering
• Inclusive $h_c$ production at $B$ factories
• Prospects for quarkonium studies at the high-luminosity LHC
• The color-singlet contribution to e^+ e^- ->J/psi + X at the endpoint
• Photoproduction of ${\eta }_c$ in NRQCD
• ${\alpha }_s{v}^2$ corrections to ${\eta }_c$ and ${\chi }_{cJ}$ production recoiled with a photon at $e^{+}{e}^{-}$ colliders
• Kinematic Effects in Radiative Quarkonia Decays
• J/psi+gamma production at the LHC
• Non-perturbative effects in semi-leptonic B_c decays
• Investigation of the bottomonium ground state η_b via its inclusive charm decays
• Inelastic $J/\psi$ production in polarized photon-hadron collisions
• NRQCD: Fundamentals and Applications to Quarkonium Decay and Production
• Implications of a New Light Scalar Near the Bottomonium Regime
• Theory for quarkonium: from NRQCD factorization to soft gluon factorization
• Inelastic electroproduction of ${\eta }_c$ at ep colliders
• How well does nonrelativistic QCD factorization work at next-to-leading order?
• Quarkonium production and NRQCD matrix elements
• The Color Singlet Relativistic Correction in $J/\psi$ Photoproduction
• Fragmentation function of $g\to Q\bar{Q}{(}^3{S}_1^{[8]})$ in soft gluon factorization and threshold resummation
• Soft-Gluon Resummation in Heavy Quarkonium Physics
• $J/\psi$ polarization in large-$P_T$ semi-inclusive deep-inelastic scattering at the EIC
• ${\rm Y}$ Polarization at HERA-$B$
• Shape function in QED and bound muon decays
• Color-octet contributions for $J/\psi$ inclusive production at B factories in soft gluon factorization
• Two-Spin Asymmetry for ${\psi }^{\prime }$ Photoproduction with Color-Octet Mechanism
• Power expansion for heavy quarkonium production at next-to-leading order in ${\mathrm{e}}^{+}{\mathrm{e}}^{-}$ annihilation
• Color Octet Contribution to J/psi Photoproduction Asymmetries
• Resummation and renormalization of kinematical effects in inclusive $P$-wave quarkonium production
• Charmonium Production at Tevatron, HERA and LHC
• pQCD Calculations of Heavy Quark and J/psi Production
• Heavy-Flavour Production at HERA
• Kinematic Effects in Quarkonia Production
• QED Contribution to the Color-Singlet $\jpsi$ Production in ${\rm Y}$ Decay Near the Endpoint
• Production of J/psi Mesons at HERA
• Electroproduction of psi' and polarized gluon distribution in a proton
• J/psi production in ep collisions at HERA