2026/07/27 by Sheng-Juan Jiang, Sai Cui, Guang-Zhi Xu +1
#hep-ph
We revisit the calculations of relativistic corrections to inclusive J/ψ production at B factories. For quark-level subprocesses with three-body final states, we carry out a full expansion of the final-state kinematic parameters. The resulting cross sections are theoretically self-consistent and independent of the choice of integration variables. In the high-energy limit, both cross-section magnitudes and the line shapes of correction curves for energy and momentum distributions agree remarkably well with fragmentation-function calculations. We find that O(v2) corrections suppress the cross section by roughly 14.55% in the J/ψ+ X_cc channel and enhance it by approximately 12.18% for the J/ψ+ X_non-cc channel. After incorporating published O(αs) corrections, color-octet contributions, two-photon production channels, and feed-down effects, tension persists between theoretical predictions and experimental measurements. This indicates that complete prompt-quarkonium calculations through O(αs, v2), or evaluations incorporating higher-order corrections, are required to resolve this tension.