Measurement of the $J/ψ$ pair production cross-section in pp collisions at $\sqrt{s}=13$ TeV
The production cross-section of $J/ψ$ pairs is measured using a data sample of pp collisions collected by the LHCb experiment at a centre-of-mass energy of $\sqrt{s}=13$ TeV, corresponding to an integrated luminosity of 279 ±11 pb -1 . The measurement is performed for $J/ψ$ mesons with a transverse momentum of less than 10 GeV/$c$ in the rapidity range 2.0 < $y$ < 4.5. The production cross-section is measured to be 15.2 ± 1.0 ± 0.9 nb. The first uncertainty is statistical, and the second is systematic. The differential cross-sections as functions of several kinematic variables of the $J/ψ$ pair are measured and compared to theoretical predictions.