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

Abstract

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.