I like this link http://library.thinkquest.org/27930/relativity.htm It made me think about the crux of this issue. “The formula shows the equivalence of mass and energy and illustrates the fact that an increase in mass (m) is accompanied by an increase in energy (E) by mc2. The formula also shows an increase in energy (E) results in an increase in mass (m) by E/c2. In other words, as an object accelerates by gaining energy, it gains mass. As the object approaches the speed of light, its mass approaches infinity. An infinite amount of energy is required to accelerate an object to the speed of light, so the speed of light acts as a speed limit for matter.” Aren’t the neutrinos created from a high speed collision? And aren’t they a by product of the energy that is generated by CERN plus the collision? So they are not truly gaining energy and or mass since they are being created at a constant speed close to 98%c. So for them to be going faster than c does not require one to assume they are being accelerated from a relative speed of zero to v + c.
So the problem is really just the interpretation of relativistic mass being associated with a velocity not an acceleration. The only energy increase required to make these particles accelerate to 98%c +v could be explained by the collision.