I wonder what renormalization theory has to say about relativity being only an artifact of charges and photons. That'd let charge-free particles (neutrinos, gluons, and Z [*]) exceed c. I'd suspect that it produces a different result - if only that the removal of gauge invariance should produce velocity-dependence in nuclear stability. If the OPERA result ends up being verified with all conceivable checks made (we're not close to this yet), we should definitely pop some heavy ions in a storage ring and see whether their decay rate changes (after taking relativity into account).
And of course it would require explaining the distant supernova data showing simultaneous arrival of neutrinos and light. Well, both of the models of tachyons that I've seen say that their energy peaks at speeds approximately C. If the distant supernova neutrinos are highly energetic, that would explain it... the low population of low energy photons would be indistinguishable from background, having been smeared out so far in advance of the arrival of most of them that connecting them to the event would not be a natural inference.
Alternately, there could be some sort of electroweak drag which brings them down to approximately light-speed before they accumulate a lead of more than, say, 60 ns over photons emerging from the same event. Maybe the OPERA neutrinos were initially moving much faster than c, but slowed down to c before accumulating more than a few meters' lead. Again, if this holds up, it'd be worth building a neutrino detector closer to the source (or a new source closer to the neutrino detector), perhaps much closer, to see if the speed is constant or whether the neutrinos are decelerating.
[*] but not neutrons, which contain charges, and moreover have magnetic dipoles, and can have electrical dipoles, and always have a quadrupole
And of course it would require explaining the distant supernova data showing simultaneous arrival of neutrinos and light. Well, both of the models of tachyons that I've seen say that their energy peaks at speeds approximately C. If the distant supernova neutrinos are highly energetic, that would explain it... the low population of low energy photons would be indistinguishable from background, having been smeared out so far in advance of the arrival of most of them that connecting them to the event would not be a natural inference.
The OPERA neutrinos are on the order of GeVs but the SN 1987A neutrinos were on the order of 1-10 MeV. So that doesn't work.
Link: nextbigfuture.com/2011/11/faster-than-light-neutrinos-opera.html
Link: science20.com/quantum_diaries_survivor/opera_confirms_neutrinos_travel_faster_light-84763
Paper: kruel.co/paper-neutrino-velocity-JHEP.pdf
Previously on LW: lesswrong.com/lw/7rc/particles_break_lightspeed_limit/