Light quark masses and pseudoscalar decay constants from Nf=2 Lattice QCD with twisted mass fermions

TL;DR

This paper reports lattice QCD calculations of light quark masses and pseudoscalar decay constants using twisted mass fermions with Nf=2 dynamical flavors, providing results consistent with experimental data and CKM unitarity.

Contribution

First lattice QCD determination of light quark masses and decay constants using twisted mass fermions at a single lattice spacing with non-perturbative renormalization.

Findings

Light quark masses: m_ud^{msbar}(2 GeV)=3.85 MeV, m_s^{msbar}(2 GeV)=105 MeV.

Decay constant ratio: fK/fpi=1.227.

|Vus|=0.2192 from decay constants and CKM unitarity.

Abstract

We present the results of a lattice QCD calculation of the average up-down and strange quark masses and of the light meson pseudoscalar decay constants with Nf=2 dynamical fermions. The simulation is carried out at a single value of the lattice spacing with the twisted mass fermionic action at maximal twist, which guarantees automatic O(a)-improvement of the physical quantities. Quark masses are renormalized by implementing the non-perturbative RI-MOM renormalization procedure. Our results for the light quark masses are m_ud^{msbar}(2 GeV)= 3.85 +- 0.12 +- 0.40 MeV, m_s^{msbar}(2 GeV) = 105 +- 3 +- 9 MeV and m_s/m_ud = 27.3 +- 0.3 +- 1.2. We also obtain fK = 161.7 +- 1.2 +- 3.1 MeV and the ratio fK/fpi=1.227 +- 0.009 +- 0.024. From this ratio, by using the experimental determination of Gamma(K-> mu nu (gamma))/Gamma(pi -> mu nu (gamma)) and the average value of |Vud| from nuclear beta decays, we obtain |Vus|=0.2192(5)(45), in agreement with the determination from Kl3 decays and the unitarity constraint.