Quark masses and low-energy constants in the continuum from the tadpole-improved clover ensembles

We present the light-flavor quark masses and low-energy constants using the 2+1 flavor full-QCD ensembles with stout smeared-clover fermion action and Symanzik gauge action. Both the fermion and gauge actions are tadpole improved self-consistently. The simulations are performed on 11 ensembles at three lattice spacings a∈0.05,0.11 fm, four spatial sizes L∈2.5,5.1 fm, seven pion masses mπ∈135,350 MeV, and several values of the strange quark mass. The quark mass is defined through the partially conserved axial current relation and renormalized to MS¯(2 GeV) through the intermediate regularization independent momentum subtraction scheme. The systematic uncertainty of using the symmetric momentum subtraction scheme is also included. Eventually, we predict mu=2.45(22)(20) MeV, md=4.74(11)(09) MeV, and ms=98.8(2.9)(4.7) MeV with the systematic uncertainties from lattice spacing determination, continuum extrapolation and renormalization constant included. We also obtain the chiral condensate Σ1/3=268.6(3.6)(0.7) MeV and the pion decay constant F=86.6(7)(1.4) MeV in the Nf=2 chiral limit, and the next-to-leading order low-energy constants ℓ3=2.43(54)(05) and ℓ4=4.322(75)(96). Published by the American Physical Society 2024