Analytical Quantum Field methods in Particle Physics

TL;DR

This thesis explores quantum field theory methods applied to the Standard Model and its extensions, focusing on non-perturbative and perturbative regimes to understand fundamental particle interactions.

Contribution

It develops practical methods for analyzing symmetries, decay mechanisms, effective theories, and high-energy extrapolations within particle physics.

Findings

Assessment of Standard Model symmetries

Explanation of meson decay mechanisms from QCD

Extrapolation of LHC data to new physics regions

Abstract

In this thesis we deal with different aspects of quantum field theory, particularly in non-perturbative but also perturbative regimes, applied to the intellectual construction that is the Standard Model for Particle Physics (SM), but also its extension via effective theories. We have developed the following practical contributions in different subfields of Particle Physics: qualitatively assessing why the SM has those specific symmetries, explaining the $^3P_0$ mechanism of meson decay from fundamental Quantum Chromodynamics (QCD) calculations, experimentally distinguishing Effective Theories of the Electroweak sector beyond the SM in accelerators, extrapolating LHC data (low energies) to possible resonant regions of new physics (high energies) with controlled uncertainties and studying precision calculations of QCD (high energies) in coordinate space.