Implication of Effective Field Theories in Particle Physics Phenomenology
by
Gr. Amphi
LPSC
This PhD thesis covers the applications of the path integral formalism to Effective Field Theories (EFTs), which serve as a powerful method for studying particle physics beyond the Standard Model. We first introduce the Standard Model as an Effective Field Theory and briefly present some possible EFT deformations of the SM, which play a central role in the search of new physics. We then present a paradigm in which EFTs are used as a bridge to connect new physics at the high-energy scale with the low-energy experimental measurements. To derive the low-energy effective Lagrangian of an ultraviolet (UV) theory, one needs to integrate out heavy modes and keep only the light degrees of freedom which are relevant to the low-energy measurements.
In the first part of the thesis presentation, we concentrate on the functional methods for integrating out heavy particles up to one-loop order. In the second part, we present the applications of our techniques to study anomalies in Quantum Field Theory and derive the low-energy axion EFT Lagrangian from a given axion UV complete model.