Precise charm to strange mass ratio and light quark masses from full lattice QCD

TL;DR

This paper uses a unified lattice QCD approach to precisely determine the ratios of charm, strange, and light quark masses, achieving unprecedented accuracy and refining fundamental parameters in particle physics.

Contribution

It introduces a single formalism for handling charm, strange, and light quarks in lattice QCD, enabling 1% precision in quark mass ratios, significantly improving upon previous measurements.

Findings

Determined $m_c/m_s$ as 11.85(16) with 1% precision.

Calculated strange quark mass $ar{m}_s(2{ m GeV})$ as 92.4(1.5) MeV.

Estimated light quark mass $ar{m}_l(2{ m GeV})$ as 3.40(7) MeV.

Abstract

By using a single formalism to handle charm, strange and light valence quarks in full lattice QCD for the first time, we are able to determine ratios of quark masses to 1%. For $m_c/m_s$ we obtain 11.85(16), an order of magnitude more precise than the current PDG average. Combined with 1% determinations of the charm quark mass now possible this gives $\bar{m}_s(2{\rm GeV}) =$ 92.4(1.5) MeV. The MILC result for $m_s/m_l = 27.2(3) $ yields $\bar{m}_l(2{\rm GeV})$ = 3.40(7) MeV for the average of $u$ and $d$ quark masses.