Explore the intricate world of collider physics in this 57-minute lecture by Gherardo Vita, delving into the singular structure of collider observables at N3LO and beyond. Gain insights into the naive predictions, systematic approaches, and advanced concepts such as NQ below and beam function objects. Discover how these complex theories extend beyond N3LO and participate in a thought-provoking question session to deepen your understanding of cutting-edge particle physics research.