Unexplored directions in the flavorful SMEFT

The Standard Model of particle physics is incomplete, yet no discovery of new physics at particle colliders has been reported so far. For several consistency reasons, we expect new physics around the TeV energy scale, and the mass gap between it and the electroweak scale motivates us to study the Standard Model as an Effective Field Theory (SMEFT). In this research proposal, we aim to advance the theoretical knowledge of SMEFT and to contrast it with the latest experimental data by performing state-of-the-art phenomenological analyses. We will thoroughly study the impact of electron and hadron collider data with jets in final states on the SMEFT parameter space and publish our implementations in the publicly available phenomenology tool flavio. We will contribute to a major optimization of the publicly available tool wilson, which is used in many phenomenological pipelines for running and matching of Wilson coefficients above and below the electroweak scale, resulting in a major update of the tool. This will provide a much-needed boost to the performance of phenomenological analyses of large parameter spaces. In addition, we will study novel observables at colliders, aimed at probing the Standard Model CP-violating phase, as well as sources of CP violation beyond the Standard Model that could be used at future colliders to challenge the CKM picture of CP violation. Finally, we will provide a complete EFT and collider phenomenology atlas of tree-level completions of the SMEFT with different degrees of freedom with spin 0, 1/2, and 1, which will serve as a guide for optimal future experimental direct searches of NP.