Extra dimensions in CERN LHC via mini-black holes: effective Kerr-Newman brane-world effects

We solve Einstein equations on the brane to derive the exact form of the braneworld-corrected perturbations in Kerr-Newman singularities, using Randall-Sundrum and Arkani-Hamed-Dimopoulos-Dvali (ADD) models. It is a consequence of such models the possibility that Kerr-Newman mini-black holes can be produced in LHC. We use this approach to derive a normalized correction for the Schwarzschild Myers-Perry radius of a static $(4+n)$-dimensional mini-black hole, using more realistic approaches arising from Kerr-Newman mini-black hole analysis. Besides, we prove that there are four Kerr-Newman black hole horizons in braneworld scenario we use, although only the outer horizon is relevant in the physical measurable processes. Parton cross sections in LHC and Hawking temperature are also investigated as functions of Planck mass (in the LHC range 1-10 TeV), mini-black hole mass and the number of large extra dimensions in braneworld large extra-dimensional scenarios. In this case a more realistic brane effect-corrected formalism can achieve more precisely the effective extra-dimensional Planck mass and the number of large extra dimensions -- in Arkani-Hamed-Dimopoulos-Dvali model -- or the size of the warped extra dimension -- in Randall-Sundrum formalism.