Future high-energy pp programme with ALICE

This document presents the proposal of the ALICE Collaboration for an extended data taking programme with high-energy proton-proton collisions ($\sqrt s \approx 13$--14~TeV). The proposed programme includes two components: a sample with a target integrated luminosity of about 200 pb$^{-1}$, for which a highly-selective software-based event skimming will be performed after data reconstruction, and a minimum bias sample with a target integrated luminosity of about 3 pb$^{-1}$. The first sample targets several physics topics based on the selection of rare events, in particular with very high particle multiplicity or diffractive topologies, and/or rare signals, ranging from light nuclei and hyperons to heavy-quark hadrons and jets. The data processing and selection strategy exploits the new online-offline computing framework that is being prepared to process the Pb-Pb data samples. The second sample will be recorded with a reduced value of the ALICE solenoid magnetic field (0.2 T) and will be devoted to high-precision studies of low-mass dielectron pairs.