Transverse momentum dependence of the inclusive J/$\psi$ cross section, at forward $y$, measured in pp collisions at $\sqrt{s} = 5.02$, 7 [12], 8 [13], and 13 [9] TeV (top panels), and ratio of the measurements at 5.02, 7, and 8 TeV to the 13 TeV data (bottom panels). The data are compared with the NRQCD theoretical calculations from Butenschön et al + FONLL (left panels) [44, 49] and with theoretical calculations from ICEM + FONLL (right panels) [47,49].