Automated Lattice Perturbation Theory

Abstract

I review recent developments in automated lattice perturbation theory. Starting with an overview of lattice perturbation theory, I focus on the three automation packages currently "on the market": HiPPy/HPsrc, Pastor and PhySyHCAl. I highlight some recent applications of these methods, particularly in B physics. In the final section I briefly discuss the related, but distinct, approach of numerical stochastic perturbation theory.

Quark masses

“…(5.4) is carried out to two loops using a mixture of automatised perturbation theory (cfr. C.Monahan at lattice conference 2013 [23]) and simulations performed at high β . Their final result,…”