Higher-order electroweak corrections to the Standard Model effective field theory (HEW-SMEFT)

The lack of conclusive experimental evidence for new physics (NP) underscores the need for a comprehensive strategy beyond the Standard Model (SM). Current experimental results suggest that NP could be heavy and, therefore, beyond the direct reach of current colliders. This possibility makes Effective Field Theories (EFTs) an invaluable tool for NP searches, allowing us to exhaustively exploit information from diverse measurements, observables, and experiments across different energy scales. One such EFT, widely used in the search for physics beyond the SM, is the Standard Model Effective Field Theory (SMEFT). The sensitivity to NP hinges on the accuracy of SMEFT predictions, as the effectiveness of SMEFT lies in establishing correlations among potential deviations in SM interactions. The more precise these predictions are, the greater the sensitivity to NP effects, leading to more stringent constraints from SMEFT global studies. Sudakov electroweak (EW) logarithms represent the leading higher-order perturbative EW corrections at high energies—a regime where EFT effects are expected to dominate. This project leverages this feature, aiming first to compute the one-loop Sudakov EW corrections for diboson production in SMEFT. The second goal is to perform a complete one-loop EW computation for vector boson pair production in SMEFT, capturing EW corrections beyond the logarithmic ones, given the process's critical importance for EFT studies. Given the current state of the art in both SM and SMEFT predictions, this project is poised to push the frontier of theoretical predictions for LHC studies. The project is structured into three work packages, encompassing the analytical calculations, their implementation into a flexible Monte Carlo framework, and the dissemination of results through peer-reviewed publications and presentations at international and local conferences.