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

TL;DR

This paper determines the charm quark mass and strong coupling constant by matching lattice QCD calculations of charmonium correlator moments with high-order perturbative results, achieving high precision and consistency with experimental data.

Contribution

It introduces a precise lattice QCD method using Mobius domain-wall fermions to extract charm quark mass and coupling constants, validated against experimental data.

Findings

Charm quark mass determined with less than 1% uncertainty.

Lattice results agree with experimental R-ratio data.

Method achieves high precision using four-loop perturbative matching.

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.