Production of the exclusive $\gamma \gamma \to J\mathrm{/}\psi +\gamma$ process in proton-proton ultraperipheral collisions

In this work, we present a next-to-leading-order (NLO) study of $J\mathrm{/}\psi +\gamma$ production via photon-photon fusion in proton-proton ultraperipheral collisions (UPCs) at $\sqrt{s_{NN}}=14$ TeV. The calculation is performed within the nonrelativistic Quantum Chromodynamics (NRQCD) framework, where we employ photon parton distribution functions derived from the proton’s electric-dipole form factor (EDFF) and explicitly retain their dependence on the impact parameter $b$. Our calculation yields cross sections of $155$ fb at leading order and between $107.5$ fb and $130$ fb at NLO in ${\alpha }_s$, demonstrating a moderate but manageable ${\alpha }_s$ suppression. Despite this reduction, the process retains a sufficiently large cross section to be observable in future high-luminosity measurements.