Automated lattice perturbation theory and relativistic heavy quarks in the Columbia formulation

Understand

We introduce a new computer algebra system optimized for use in lattice perturbation theory as well as continuum perturbation theory and a new framework to perform automated perturbative calculations on top of said computer algebra system.

• The new framework is used to tune the relativistic heavy quark action in the Columbia formulation at one loop in meanfield-improved perturbation theory.
• Preliminary results for the matching and O(a)-improvement of heavy-light axial vector currents with light domain-wall quarks are also presented.