Speaker
Robert Mason
(RWTH Aachen University)
Description
The gradient flow provides a consistent scheme for matching perturbation theory and lattice field theory. In the continuum this has typically been done with the simplifying assumption that quarks are massless. However, this neither reflects lattice computations nor physical reality. In this talk we discuss the computation of three quantities fundamental to the gradient flow, the vacuum expectation values of the flowed fermion and gluon condensates and the fermion kinetic operator, and consider their quark mass effects to the three loop level. We then briefly discuss the idea of Takaura et. al. to use these mass effects with lattice data for precision estimates of the quark masses.
Authors
Robert Harlander
Robert Mason
(RWTH Aachen University)