Explore the frontiers of particle physics in this comprehensive lecture from the "Prospects in Theoretical Physics" series. Delve into the exciting realm of new physics at the Large Hadron Collider (LHC) and beyond. Learn about key concepts such as GC Luminosity, hadron colliders, rapidity, probability density, and factorization. Gain insights into the latest developments in particle physics research, including the potential for discovering new particles and phenomena. Understand the importance of pattern luminosity in analyzing collision data. Suitable for advanced physics students and researchers interested in cutting-edge particle physics experiments and theories.