Zürich Gradient Flow Workshop 2025

Session

Session 2

12 Feb 2025, 10:30

Y36-K08 (University of Zürich)

19. The gradient flow extended to the Standard Model

Janosch Borgulat (RWTH Aachen University)

12/02/2025, 10:30

Contribution

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...

20. Two-loop perturbative calculations toward a new approach to quark mass determination using the gradient flow

Hiromasa Takaura (YITP, Kyoto University)

12/02/2025, 11:00

Invited talk

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...

27. Quark mass effects in the gradient flow at higher orders in perturbation theory

Robert Mason (RWTH Aachen University)

12/02/2025, 11:30

Contribution

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...