Functional Methods for EFTs

Abstract: The current era of precision physics requires the theoretical community to push the frontiers of high-precision computations. In this context, indirect searches through Effective Field Theories (EFTs) provide a powerful framework for interpreting future experimental data. In this seminar, we will present an efficient framework for performing high-precision calculations based on functional methods, which constitute an alternative to the conventional diagrammatic approach. We will explore how these techniques can be extended to the multiloop level, addressing in particular the gamma5 problem, and how they can be adapted to other EFT applications, such as dimensional reduction at finite temperature.