Extra space dimensions and microscopic Gravity
Gravity as we know it is negligible at the subatomic level. The addition of n space dimensions affects the behavior of the gravitational force, changing from 1/r2 to 1/r(2+n) , thus enhancing its strength at very short distances r. A way to search for signatures of gravity at the LHC, and thus reveal the existence of microscopic space dimensions, is to look for graviton excitations and/or microscopic black holes. Both would decay into SM particles, measurable in particle detectors such as ATLAS.
Advanced analysis and statistical methods are crucial to distinguish these new phenomena from competing standard processes, on one hand, and from other resonances such as Z’ described above. In addition to the variables and search methods detailed above, you will make use of the fact that the graviton is spin-2, the Z’ spin-1 and the Higgs boson spin-0. The decay angle distribution of the measured lepton in the centre of mass of the decaying resonance is expected to have a characteristic shape in each of the cases.