The gradient flow and quark mass renormalisation in a finite volume scheme

Quark masses are among the fundamental parameters of the Standard Model and their determination from hadronic observables is a prerequisite for many precision tests. The necessary connection between the low energy hadronic input and the perturbative high energy regime  can be established using lattice QCD simulations and recursive finite  volume renormalization methods. In this project, it is proposed to add the gradient flow for both the gauge and quark fields as the essential  new ingredient to improve on the currently available precision for quark mass renormalization factors.

  • Supervisor: Stefan Sint  (Trinity College Dublin)