Average up/down, strange and charm quark masses with Nf=2 twisted mass lattice QCD

TL;DR

This paper reports a high-precision lattice QCD calculation of the average up/down, strange, and charm quark masses using Nf=2 twisted mass Wilson fermions, achieving results consistent with previous estimates.

Contribution

The study introduces a comprehensive lattice calculation with multiple observables and non-perturbative renormalization to accurately determine quark masses and their ratios.

Findings

Quark masses in the MSbar scheme are: m_ud(2 GeV)=3.6(2) MeV, m_s(2 GeV)=95(6) MeV, m_c(m_c)=1.28(4) GeV.

Ratios of quark masses are: m_s/m_ud=27.3(9), m_c/m_s=12.0(3).

Analysis includes four lattice spacings and pion masses down to ~270 MeV.

Abstract

We present a high precision lattice calculation of the average up/down, strange and charm quark masses performed with Nf=2 twisted mass Wilson fermions. The analysis includes data at four values of the lattice spacing and pion masses as low as ~270 MeV, allowing for accurate continuum limit and chiral extrapolation. The strange and charm masses are extracted by using several methods, based on different observables: the kaon and the eta_s meson for the strange quark and the D, D_s and eta_c mesons for the charm. The quark mass renormalization is carried out non-perturbatively using the RI-MOM method. The results for the quark masses in the MSbar scheme read: m_ud(2 GeV)= 3.6(2) MeV, m_s(2 GeV)=95(6) MeV and m_c(m_c)=1.28(4) GeV. We also obtain the ratios m_s/m_ud=27.3(9) and m_c/m_s=12.0(3).