ALICE luminosity determination for Pb$-$Pb collisions at $\mathbf{\sqrt{s_{\rm NN}}=5.02}$ TeV

Luminosity determination in ALICE is based on visible cross sections measured in van der Meer scans. In 2015 and 2018, the Large Hadron Collider provided \PbPb collisions at a centre-of-mass energy per nucleon pair of $\sqrt{s_{\rm{NN}}}$ = 5.02 TeV. Van der Meer scans were performed, in which the cross section was measured for two classes of visible interactions, based on particle detection in the ALICE luminometers: the Zero Degree Calorimeter (ZDC) and the V0 detector. This document describes the experimental set-up and summarises the main features of the analysis procedure. The resulting uncertainty on the ZDC-based (V0-based) luminosity measurement for the full sample is 2.3% (2.2%).