Quark masses and low-energy constants in the continuum from the tadpole-improved clover ensembles
Zhi-Cheng Hu (Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China, University of Chinese Academy of Sciences, School of Physical Sciences, Beijing 100049, China); Bo-Lun Hu (CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China); Ji-Hao Wang (CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China, University of Chinese Academy of Sciences, School of Physical Sciences, Beijing 100049, China); Ming Gong (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China); Guoming Liu (Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Guangdong Provincial Key Laboratory of Nuclear Science, Southern Nuclear Science Computing Center, South China Normal University, Guangzhou 510006, China, Key Laboratory of Atomic and Subatomic Structure and Quantum Control (MOE), Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China); et al - Show all 11 authors
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(2GeV) 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).