The dipole picture and the non-relativistic expansion

Abstract

We study exclusive quarkonium production in the dipole picture at next-to-leading order (NLO) accuracy, using the non-relativistic expansion for the quarkonium wavefunction. This process offers one of the best ways to obtain information about gluon distributions at small $x$, in ultraperipheral heavy ion collisions and in deep inelastic scattering. The quarkonium light cone wave functions needed in the dipole picture have typically been available only at tree level, either in phenomenological models or in the nonrelativistic limit. In this paper, we discuss the compatibility of the dipole approach and the non-relativistic expansion and compute NLO relativistic corrections to the quarkonium light-cone wave function in light-cone gauge. Using these corrections we recover results for the NLO decay width of quarkonium to $e^{+}{e}^{-}$ and we check that the non-relativistic expansion is consistent with ERBL evolution and with B-JIMWLK evolution of the target. The results presented here will allow computing the exclusive quarkonium production rate at NLO once the one loop photon wave function with massive quarks, currently under investigation, is known.

33 pages. 9 figures. Updated to incorporate the changes made to the published version

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• Heavy quarkonium: progress, puzzles, and opportunities
• The Physics of Ultraperipheral Collisions at the LHC
• CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order
• Dipole factorization for DIS at NLO: Combining the $q\bar{q}$ and $q\bar{q}g$ contributions
• Reconciling the light-cone and nonrelativistic QCD approaches to calculating e+ e- -> J/psi + eta_c
• Modelling light-cone distribution amplitudes from non-relativistic bound states
• Deep inelastic scattering in the dipole picture at next-to-leading order
• Interplay of the CGC and TMD frameworks to all orders in kinematic twist
• NRQCD Factorization for Twist-2 Light-Cone Wave-Functions of Charmonia
• Refactorizing NRQCD short-distance coefficients in exclusive quarkonium production

Cited by in corpus (13)

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• Massive quarks in NLO dipole factorization for DIS: Longitudinal photon
• Massive quarks in NLO dipole factorization for DIS: Transverse photon
• Massive quarks at one loop in the dipole picture of Deep Inelastic Scattering
• Color charge correlations in the proton at NLO: beyond geometry based intuition
• Diffractive deep inelastic scattering at NLO in the dipole picture: the $q\bar{q}g$ contribution
• Selected topics in diffraction with protons and nuclei: past, present, and future
• Next-to-leading order Balitsky-Kovchegov equation beyond large $N_{\mathrm{c}}$
• Complete calculation of exclusive heavy vector meson production at next-to-leading order in the dipole picture
• Exclusive heavy vector meson production at next-to-leading order in the dipole picture
• Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider
• Exclusive production of light vector mesons at next-to-leading order in the dipole picture