This must be what they are doing, because for a particle to travel fast as light or faster it in theory would have infinite energy right?
Not really. The whole "need infinite energy to go the speed of light" is rather misleading. Particles with well-defined rest mass travel slower than light. You can accelerate a particle to 99.9999% of the speed of light (as measured in the laboratory frame), but jump into the particle's frame and your back to stationary with respect to light. So which view is correct?
The speed of light is not something that is a "bit faster" than a relativistic proton zipping around the LHC ring. It is something entirely different. You cannot hypothetically give a massive particle "infinite energy" and suddenly it hypothetically travels at c.
Particles with zero rest-mass travel at c. And they cannot do otherwise.
Particles that travel faster than c are tachyons, and they are a different beast again. They only exist superluminally: they cannot "slow-down" to c and then become subluminal; you do not need "infinite energy" to make a tachyon.
If these neutrinos are tachyonic, they are created tachyonic. They are not created subluminal then accelerated to superluminal speed, a process which is utterly non-sensical as per the above explanation.
So does it make sense for the neutrinos to be tachyonic? Not really. Tachyons as we understand them aren't really particles in the way we would normally understand the concept. Yet these neutrinos are acting like subluminal particles but appear to be travelling superluminally. That is problematic.
The biggest problem is that if everything is as the experiment would have us believe, then much of the above explanation can be dismissed as it is based on an understanding that doesn't include this type of behaviour!! Yet we have the most accurate theories known to man based on these explanations. And we have previous neutrino studies that show no evidence of this tachyonic behaviour. So, inspite of the latest results, I remain highly skeptical.
Neutrinos could be zipping in and out of other dimensions or quantum tunneling through space time.
Possibly, but again we have never seen this behaviour before. And it is not the case that the neutrinos are passing through some exotic region of space-time. We may think that a mountain range, solid ground, and a reassuring 1G gravtational field are significantly different to empty space, but on the grand scale of the Universe, we're just a little barely-noticeable bump in the local space-time curavture...