Particle velocity in noncommutative space-time

We investigate particle velocity in kappa-Minkowski space-time, which is one of the realizations of noncommutative space-time. We emphasize that arrival time analyses by high-energy gamma rays or neutrinos, which have been considered as powerful tools to restrict the violation of Lorentz invariance, are not effective in detecting space-time noncommutativity. In contrast with these examples, we point out the possibility that low-energy massive particles play an important role in detecting it.