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

TL;DR

This paper presents a new computer algebra system and framework for automated perturbative calculations in lattice QCD, demonstrating their application to tuning relativistic heavy quark actions and improving heavy-light current matching.

Contribution

The authors develop a novel computer algebra system and an automated framework for perturbative calculations, enabling efficient tuning of heavy quark actions in lattice QCD.

Findings

Successful one-loop tuning of the relativistic heavy quark action.

Preliminary results on matching and O(a)-improvement of heavy-light axial currents.

Framework facilitates automated perturbative calculations in lattice and continuum theories.

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.