--- Konstantin Goulianos --- Precision RENORM diffraction predictions at LHC: A puzzle-solving tool? --- Diffractive, elastic, and precision total pp cross-section RENORM model predictions are compared with recent experimental measurements at LHC. Discrepancies among different results are compared to RENORM predictions, and suggestions for analyses/measurements to understand and resolve the experimental discrepancies are discussed. The model predictions are extended to forthcoming measurements at higher LHC energies, planned supercolliders, and cosmic rays. ---