12–14 Feb 2025
University of Zürich
Europe/Zurich timezone

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

12 Feb 2025, 11:00
30m
Y36-K08 (University of Zürich)

Y36-K08

University of Zürich

Winterthurerstrasse 190 8057 Zürich Switzerland
Invited talk Session 2

Speaker

Hiromasa Takaura (YITP, Kyoto University)

Description

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 numerical results over a wide range of m^2 t. We develop a new method to expand loop integrals in m^2 t or 1/(m^2 t), based on the Laplace transform.

Author

Hiromasa Takaura (YITP, Kyoto University)

Co-authors

Fabian Lange (University of Zurich) Robert Harlander (RWTH Aachen University)

Presentation materials