Angular distances between different jet-axis definitions

The development of state-of-the-art particle detectors, as well as the progress made in precision perturbative Quantum Chromo-Dynamics (pQCD) calculations have made the jet-substructure field grow significantly in the past few years. Jets are rich in substructure, and many different observables are needed to fully characterize their formation and evolution from the partonic to the hadronic state that we observe in particle detectors. In this talk we present the experimental study of the angular distance between different definitions of the jet axis in proton-proton collisions at $\sqrt{s}=5.02$ TeV in ALICE. These observables are infrared and collinear safe, which makes them calculable in pQCD. The measurement is also sensitive to non-perturbative physics such as hadronization and underlying-event effects and can be used as a baseline to compare to heavy-ion collisions, where a deconfined state of matter is predicted by lattice QCD calculations. Differences between the standard and soft-drop axes probes the effect that grooming has on the jet direction. Similarly, differences between the standard and winner-takes-all axes can describe how precisely the leading hadron in a jet  can be used as a proxy for the direction of the jet itself. These new experimental results are compared to predictions from different event generators.