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Gluon TMDs and NRQCD matrix elements in $J/\psi$ production at an EIC
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abstract
In this paper we analyze azimuthal asymmetries in the processes of unpolarized and polarized $J/\psi \,(\Upsilon)$ production at an Electron-Ion Collider. Apart from giving access to various unknown gluon transverse momentum distributions, we suggest to use them as a new method to extract specific color-octet NRQCD long-distance matrix elements, i.e.\ $\langle0|{\cal O}_{8}^{J/\psi}(^{1}S_{0})|0\rangle$ and $\langle0|{\cal O}_{8}^{J/\psi}(^{3}P_{0})|0\rangle$, whose values are still quite uncertain and for which lattice calculations are unavailable. The new method is based on combining measurements of analogous asymmetries in open heavy-quark pair production which can be performed at the same energy. To enhance the gluon contribution one can consider smaller values of $x$ and, in order to assess the impact of small-$x$ evolution, we perform a numerical study using the MV model as a starting input and evolve it with the JIMWLK equations.
Forward citations
Cited by 4 Pith papers
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The role of the soft scale for $J/\psi$ production in the transverse momentum dependent framework
The paper derives new TMD soft transition functions and shows they dominate J/psi production at small transverse momentum by a factor of 1/v over previously used shape functions.
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Maximum phase-space density of linearly polarized gluon TMDs in the saturation region
Computes maximum phase-space density of linearly polarized gluon TMD h1^⊥g as ~2 α_s^{-3/2} (dipole) in saturation using Mueller occupancy and prior WW/dipole distributions, with numerical Collins-Soper study.
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Maximum phase-space density of linearly polarized gluon TMDs in the saturation region
For the dipole gluon TMD, the Sudakov-limited maximum phase-space density of h_1^{⊥g} is 2 n_g^{max} ∼ 2 α_s^{-3/2} in the saturation region.
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Modeling the TMD shape function in $J/\psi$ electroproduction
NLO hard function in TMD factorization for quarkonium electroproduction with predictions for unpolarized J/ψ cross section at EIC.
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