Thesis Title: Constraints on EFT Wilson Coefficients via Quadruple-Differential Angular Decay Rates from t-channel Single-Top-Quark Production at $\sqrt{s}=13$ TeV within the ATLAS Detector

Abstract: At the most fundamental level our universe consists of particles and their interactions, the structure of which is encoded in the Standard Model (SM) of particle physics. It has proven to be the most accurate theory of physics ever conceived by remarkably explaining all phenomenon seen so far in particle colliders around the world. The culmination of its success occurred in 2012 with the discovery of the Higgs Boson by the ATLAS & CMS collaborations at the Large Hadron Collider (LHC). Despite this, we know the SM cannot be the complete picture of reality due to a number of problems in fundamental physics which are not explained by it. These issues point to a rich body of physics beyond the SM (BSM) waiting to be discovered. In this analysis, I will present one possible avenue of discovering BSM physics, which relies on analysis of single top quarks produced in the t-channel. The full angular distribution will be analyzed using a state-of-the-art M-Function decomposition technique which utilizes the power of Fourier analysis to give us access to observables highly sensitive to new physics. Measurement of these observables with data from Run 2 of the ATLAS detector in $pp$ collisions at $\sqrt s = 13$ TeV with an integrated luminosity of $140\; \text{fb}^{-1}$, will allow us to obtain the most stringent constraints on targeted BSM parameters.