$m_c$ (and $m_b$) from lattice QCD

TL;DR

This paper reviews recent progress in determining charm and bottom quark masses using lattice QCD, highlighting new techniques, increased precision, and inclusion of QED effects since 2015.

Contribution

It summarizes advancements in lattice QCD methods for quark mass determination, emphasizing diverse techniques achieving sub-percent precision and accounting for QED effects.

Findings

Sub-percent level precision in charm and bottom quark masses

Use of multiple techniques with different systematic uncertainties

Inclusion of QED effects in mass calculations

Abstract

Quark mass determinations based on lattice QCD simulations have continued to make strides in recent years. Here I review that progress with a focus on developments computing the charm (and bottom) quark masses since the 2015 edition of CHARM. These advances have resulted in groups now quoting (sub-)percent-level precision for these quantities, and, importantly, using a variety of techniques subject to differing systematic uncertainties. Improvements to quantify the effects of QED are also now being included. I will highlight three of the strategies being used to determine $m_c$ at this level of precision.