Don't bother with that, as it's 99.99999999% wrong. The reasons mainly four:
1) They used GPS for timing the time-of-flight of the neutrinos. Light doesn't travel at the speed of light in the air and they didn't account for that.

2) GPS does not have the accuracy needed for this experiment ~1ns (=1/10^9 seconds).

3) The neutrinos were created at CERN in Geneva and detected in Italy. The creation of the neutrinos cannot be timed exactly (as it is done with other particles) as neutrinos interact ***very*** weakly with matter (they have no charge and are nearly massless). Thus there is large uncertainty in the timing of the detection.

4) The neutrinos have to travel underground, through the Earth's crust and obviously that distance cannot be measured to micrometer accuracy. The quoted accuracy needed for this would be on the order of a few meters though but I don't believe they have that either (i will check the paper more closely).

This is my assessment of the results as a professional physicist (and relativist) and actually most of the people I have spoken to at my physics department agree with these reasons. I would be very surprised if the results withstand honest scientific scrutiny. In any case relativity has been tested in thousands of experiments (including ones with neutrinos) and has been confirmed again and again. A well respected physicist (Sean Carroll) goes into some more depth in this blog: http://blogs.discovermagazine.com/cosmi ... neutrinos/

Unfortunately, I have to mention one (possible) fifth reason for this, and that's called "over-hyping your results in order to get more funding next year". I don't know the people of the collaboration to say if this is the case but it has been done before.

So, unless these questions are answered and the experiment is duplicated by other independent teams around the world, I would say that Relativity is safe.