Determination of charm quark mass from temporal moments of charmonium correlator with Mobius domain-wall fermion

Abstract

We extract the charm quark mass and the strong coupling constant from the charmonium current 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 experimental 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.

Comments: 7 pages, 3 figures, Talk presented at the 34th annual International Symposium on Lattice Field Theory (LATTICE 2016), 24-30 July 2016, University of Southampton, UK