Yes, there are measurements which indicate that photons have zero mass, and that at least certain kinds of neutrinos have nonzero mass. They are certainly not the same particle, and there's no way the neutrinos could be less massive than photons - even if photons do have a nonzero mass, we've measured that it has to be many orders of magnitude smaller than the known mass differences between different kinds of neutrinos.
Incidentally, "speed of light" c does not necessarily mean the speed of
I met one of the people involved in the project a few months ago, and from what he said (IIRC) it sounds like it is mostly about marketing and education. They're trying to increase public awareness of and interest in what the LHC does and why it's important, and they figure that giving people a way to easily interact with the experiment (even if it is kind of a one-way interaction) will help pique their interest. In other words, it's a PR tool.
Then again, I'm not directly involved, so I could be wrong...
I reposted your question to Physics Stack Exchange so you can get input from an additional group of people, several of whom have actually studied GR. (Disclaimer: it's not my website, but I'm a frequent contributor) Of course, most of the prerequisites I would think of have already been mentioned here (Newtonian mechanics, electromagnetism, special relativity, linear algebra, multivariable calculus, differential equations, differential geometry), but on PSE you won't have to filter out a bunch of irrelevant comments
For what it's worth, the main "thrust" of GR is encapsulated in two equations, which you can find here among other places: the geodesic equation and the Einstein field equations. You can use those to guide your progress: once you know enough to understand what they mean, you've successfully learned the basics of GR.
But particle physics in particular seems to have vanished up its own asshole in the last couple of decades Every problem seems to be solved by inventing a new particle which will show up if only we spend ten times as much on the next machine.
As a particle physicist, I fully endorse this
Honestly, I'm more concerned about the government of Schleswig-Holstein having the authority to control what links its citizens put on their web page this precisely than I am about Facebook collecting the data that it does.
Of course, I'm in the US, not in Germany, so I guess it's not really my fight...
The 1.5 is a mathematical expectation value: if they could run this experiment a large number of times, there would be 1.5 events detected on average. Of course, all the physicists involved know that they are not actually going to see exactly 1.5 events. Still, it's more informative to write 1.5 than 1-2.
As far as the 99.3%, I'm not familiar with the specific statistical techniques involved, but if you look at the paper they do provide references that (I assume) explain how that 99.3% value can be obtained.
Work without a vision is slavery, Vision without work is a pipe dream, But vision with work is the hope of the world.