We report on the calculation [1] of the relativistic O(αs0 ν2) corrections to the quarkonium production process e+e? → χcJ + γ in non-relativistic QCD (NRQCD). In our work we incorporate effects from operators that contribute through the sub-leading Fock state |QQ?g?,that were not taken into account by previous studies. We determine the corresponding matching coeffcients that should be included into theoretical predictions for the electromagnetic production cross-section of χcJ. This process could be, in principle, measured by the Belle II experiment.
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