Quark masses with Nf=2 twisted mass lattice QCD

TL;DR

This paper reports high-precision lattice QCD calculations of the up/down, strange, charm, and bottom quark masses using Nf=2 twisted mass Wilson fermions, with results consistent across multiple methods and extrapolations.

Contribution

The study provides the most precise lattice QCD determinations of several quark masses using Nf=2 twisted mass fermions, including new ratios and an updated bottom quark mass estimate.

Findings

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

Ratios: m_s/m_ud=27.3(9), m_c/m_s=12.0(3).

Updated bottom quark mass: m_b(m_b)=4.3(2) GeV.

Abstract

We present the results of the recent high precision lattice calculation of the average up/down, strange and charm quark masses performed by ETMC 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 have also obtained the ratios m_s/m_ud=27.3(9) and m_c/m_s=12.0(3). Moreover, we provide the updated result for the bottom quark mass, m_b(m_b)=4.3(2) GeV, obtained using the method presented in 0909.3187 [hep-lat].