The Gradient Flow (GF) has shown significant potential for determining operator renormalization matrices in effective field theories. Nevertheless, its application has predominantly focused on pure QCD, limiting its broader applicability, particularly in the context of the Standard Model Effective Field Theory (SMEFT). In this presentation, I will introduce a gradient flow framework for the...
We propose a new method for quark mass determination utilizing the gradient flow. The matching of a ratio of flowed bilinear operators between the perturbative and lattice results determines the MSbar mass, potentially contributing to a more precise determination. In this talk, we present perturbative results at two loops: semianalytic expressions in the small- and large-m^2 t limits and...
Calculations in the perturbative approach to the short-flow time expansion of the gradient flow have typically been completed for systems with massless quarks, simplifying computations and allowing for application of the method of projectors. However, processes such as vacuum expectation values can be considered without this method. For example, the condensate of the quark kinetic operator is...
