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The exclusive $J/\psi$ process at the LHC tamed to probe the low $x$ gluon
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abstract
The perturbative QCD expansion for $J/\psi$ photoproduction appears to be unstable: the NLO correction is large (and of opposite sign) to the LO contribution. Moreover, the predictions are very sensitive to the choice of factorization and renormalization scales. Here we show that perturbative stability is greatly improved by imposing a $`Q_0$ cut' on the NLO coefficient functions; a cut which is required to avoid double counting. $Q_0$ is the input scale used in the parton DGLAP evolution. This result opens the possibility of high precision exclusive $J/\psi$ data in the forward direction at the LHC being able to determine the low $x$ gluon distribution at low scales.
Forward citations
Cited by 2 Pith papers
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Relativistic corrections and high-energy resummation for exclusive heavy quarkonium photoproduction
The O(v²) correction to the high-energy-resummed coefficient function for exclusive heavy-quarkonium photoproduction is derived and shown to be small but useful for stabilizing μ_F dependence.
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How to include exclusive $J/\psi$ production data in global PDF analyses
Exclusive J/psi photoproduction at HERA is consistent with global PDFs at NLO when the optimal scale and a Q0 subtraction are used, enabling low-x gluon extraction.
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