Charge Asymmetry in Top Pair plus Jet Production -- A Snowmass White Paper

We investigate the discovery potential of the top-quark charge asymmetry at the LHC in top-antitop production in association with a hard jet. In this process, the charge asymmetry can be accessed via two novel observables: the incline asymmetry, which probes the quark-antiquark channel, and the energy asymmetry, which gives access to the quark-gluon channel. At 8 TeV collision energy, the significance for both observables is statistically limited. With 14 TeV and an integrated luminosity of 50 inverse fb or more, an asymmetry of up to -12% can be observed with a statistical significance of more than 5 standard deviations. Prospects of measuring the charge asymmetry at the intended high-luminosity and high-energy LHC upgrades are discussed.