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From LHC Website Each proton beam at full intensity will consist of 2808 bunches per beam. Each bunch will contain $1.15 \times 10^{11}$ protons per bunch at the start of nominal fill and is around 30 cm. long with transverse dimensions of the order a mm, but in a collider as small as possible at the collision point (LHC - 16 microns fully squeezed). ...
The abstract for your third reference has a Particle Data Group block which gives $J=0$, but without much confidence. A footnote on page 5 of that reference expresses skepticism that it's a graviton. I'm afraid you're not going to get much more "updated" information than a preprint from six weeks ago. The experiment is still going on.