Effective Field Theory Framework: Construction Strategies and Soft Collinear Effective Theory (SCET)

Abstract: Effective Field Theory (EFT) stands as a cornerstone in modern theoretical physics, offering a powerful framework for describing the dynamics of physical systems across a wide range of energy scales. This article provides an in-depth exploration of EFT and its diverse applications in various branches of physics. Beginning with a foundational overview of EFT principles, including its formulation, renormalization, and power counting rules, we delve into its versatility in addressing complex phenomena beyond the reach of traditional approaches. In particle physics, EFT techniques are indispensable for precision calculations and theoretical predictions, enabling the systematic treatment of quantum field theories at energies inaccessible to direct experimentation. Moreover, EFT plays a crucial role in understanding the low-energy dynamics of hadrons, nuclei, and other strongly interacting systems. This article aims to provide a comprehensive introduction to EFT and as an example of constructing EFT from a fundamental theory like QCD we explore how to construct a soft collinear effective theory SCET.