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Title: STrEAMlining EFT Matching
Abstract: Matching a UV theory onto an Effective Field Theory (EFT) is the procedure by which one connects the fundamental parameters to the EFT Wilson coefficients. The traditional approach is to compute the amplitudes in the two theories, and equate them to derive the matching relations. Functional methods (evaluating the path integral directly) enable us to systematically solve this procedure up to one-loop level, solely taking the UV Lagrangian as input; one does not need to specify the EFT Lagrangian in advance. In this talk, I will explain our approach which provides a streamlined and simple-to-follow prescription for performing these calculations. The most tedious task is the evaluation of so-called functional supertraces that appear. Given its algorithmic nature, we have written a Mathematica package, SuperTrace Evaluation Automated for Matching (STrEAM), that automates this step. I will provide an overview of the methodology, followed by the concrete application of integrating out a heavy singlet scalar to derive the one-loop dimension-6 matching coefficients for the SMEFT.
