I don´t think they have published any paper, but this kind of experiments are tricky. In the setup showed in the video (n=1, not blinded[1], no control group, no crossover), I would conclude that Jetpack does not work. The time differences are small and the athlete is biased - unconsciously - to run faster with Jetpack.

[1] Blinding in this case it not easy, but they can use a JetPack that sounds like the real one, but does nothing.