I'd imagine Michelson-Morley were giving out the same vibe way back when.
lamda is only infinite at the speed of light. If v>c you're into complex numbers. Somebody mentioned complex masses, but maybe complex velocities are plausible as far as the maths is concerned.
One thing to consider here is that they believe they are observing particles getting from one place to another in a time that requires a velocity greater than the speed of light - they're not observing a particle actually travelling at a speed greater than the speed of light. This could be a phenomenon similar to electrons tunneling through a potential energy barrier: We know they can do it, but it's impossible to observe them in the process.
