Neutrino Experiments at CERN: c=? | Is the Answer Out There?

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The current information in regards to the Neutrino experiment at CERN leads me to two possibilities.

1. The actual speed of light is possibly a bit different than our current value.

OR

2. The Neutrino does move faster than c.

Is the scientific community leaning one direction or the other? Or has their been discussion on the idea that a photon has mass and a neutrino has less mass than the photon? Are these the correct questions an armchair physicist like myself should ponder?
 
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