Achieving next-to-next-to-next-to-leading order (N3LO) precision is critical to addressing the stringent demands of the High-Luminosity LHC (HL-LHC) physics program, where enhanced predictive power is essential for exploring subtle effects in collider phenomenology.
In this talk, I will motivate the importance of achieving N3LO accuracy efficiently and systematically, and review key aspects of subtraction methods, with a focus on slicing, which has been instrumental in enabling the first fully differential N3LO predictions at the LHC.
I will outline the key theoretical ingredients required for such computations and highlight recent advancements, including the work on N3LO power corrections for 0-jettiness and the development of projection-to-Born improved slicing techniques. These innovations represent significant steps toward the systematic realization of N3LO precision for a broad range of LHC processes, offering a robust foundation for addressing the HL-LHC's precision frontier.