Extra dimensions in 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 brane-world-corrected perturbations in Kerr-Newman metric singularities. Kerr-Newman mini-black holes are to be produced in LHC, and for the case where there is no brane-world corrections, our mini-black hole is a conventional Kerr black hole, with no bulk-induced tidal charge. 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 black hole analysis. Besides, there are infinitely degenerate Kerr-Newman radii when the black hole angular momentum tends to zero. Parton cross sections in LHC and Hawking temperature are also investigated as functions of Planck mass in the range 1-10 TeV, black hole masses and the number of extra dimensions in a brane-world scenario. In this case a more realistic brane effect-corrected formalism can achieve more precisely the effective extra dimensional Planck mass and the number of extra dimensions