Constraints on CP violating Yukawa couplings in Standard Model Effective Field Theory

This thesis explores the constraints on CP-violating Yukawa couplings within the framework of Standard Model Effective Field Theory (SMEFT). In the Standard Model of particle physics (SM) such couplings do not exist but are motivated by the baryon asymmetry of the universe (BAU). Higher-dimensional operators of SMEFT induce deviations of the SM Yukawa interactions. We present their leading-order contributions to the fundamental electric dipole moments (EDM) of the SM fermions and the effective interactions with the Higgs boson through the derivation of Wilson coefficients (WC). A comprehensive global analysis is performed with the tool GAMBIT, combining EDM experimental limits with data from the Large Hadron Collider (LHC) to extract constraints on the CP-violating phases of both light and heavy fermion Yukawa couplings. Up to six WCs are scanned simultaneously. For the calculation of collider observables, we use HiggsSignals and HiggsBounds interfaced with GAMBIT while we use self-written code for the calculation of log-likelihoods for the EDMs. Due to the differing dependencies of the observables on the WCs non-trivial correlations between the EDM and the LHC constraints are found.