ALICE luminosity determination for pp collisions at $\sqrt{s}=13$ TeV

Luminosity determination in ALICE is based on visible cross sections measured in van der Meer scans. In 2015, the Large Hadron Collider provided proton-proton collisions at a centre-of-mass energy of $\sqrt{s}=13$ TeV. A van der Meer scan was performed in August 2015, where the cross section was measured for two classes of visible interactions, based on particle detection in the ALICE luminometers: the T0 detector with pseudorapidity coverage $4.6<\eta< 4.9$, $-3.3<\eta<-3.0$ and the V0 detector with pseudorapidity coverage $2.8<\eta< 5.1$, $-3.7<\eta<-1.7$. This document describes the experimental set-up and the analysis procedure used for such a measurement. In addition, the long-term stability and consistency of the vdM-based calibration of the luminometers is discussed.