Determination of charm quark mass from temporal moments of charmonium correlator with Mobius domain-wall fermion
We extract the charm quark mass and the strong coupling constant from the charmonium cur- rent correlators calculated with $n_f$ = 2 + 1 Mobius domain wall fermions. We match our lattice calculation for the temporal moments of the correlator with perturbative result known up to four-loop order, and extract the charm quark mass with uncertainty less than 1%. Using the temporal moments, we also confirm the correlators in the vector channel to be consistent with the exper- imental data for the R-ratio. We used the ensembles generated by the JLQCD collaboration at lattice spacings a = 0.080 fm, 0.055 fm and 0.044 fm.