Speaker
Description
The Standard Model Effective Field Theory (SMEFT) provides a systematic framework for parameterizing heavy new physics in a model-independent way. A central ingredient for precision analyses within this framework is the renormalization group equations (RGEs), governing the running of the Wilson coefficients across energy scales. The recent computation of the two-loop $\beta$-functions in the SMEFT marks a milestone in this program, opening the door to genuine next-to-leading order (NLO) analyses.
In this talk, I will first discuss the key technical challenges we encountered in our calculation, how we addressed them by modifying the Warsaw basis, and the consistency checks on our results. Second, I will turn to a concrete phenomenological application, demonstrating that NLO running effects play an important role in Electroweak Precision Observables (EWPO). This example illustrates that the two-loop running can have tangible consequences for the interpretation of precision data.