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arXiv · 1606.01002

Short-distance charmonium correlator on the lattice with M\"obius domain-wall fermion and a determination of charm quark mass

Katsumasa Nakayama·Brendan Fahy·Shoji Hashimoto
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Abstract

We calculate charmonium correlators on the lattice with 2+1-flavors of sea quarks and charm valence quark both described by the M\"obius domain-wall fermion. Temporal moments of the correlators are calculated and matched to perturbative QCD formulae to extract the charm quark mass $m_c(\mu)$ and strong coupling constant $\alpha_s(\mu)$. Lattice data at three lattice spacings, 0.044, 0.055, and 0.080~fm, are extrapolated to the continuum limit. The correlators in the vector channel are confirmed to be consistent with the experimental data for $e^+e^-\to c\bar{c}$, while the pseudo-scalar channel is used to extract $m_c(\mu)$ and $\alpha_s(\mu)$. We obtain $m_\mathrm{c}(3 \mathrm{\ GeV})$ = 1.003(10)~GeV and $\alpha_s^{\bar{\mathrm{MS}}(4)}(3\mathrm{\ GeV})$ = 0.253(13). Dominant source of the error is the truncation of perturbative expansion at $\alpha_s^3$.

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Katsumasa Nakayama, Brendan Fahy, Shoji Hashimoto. 2016-06-03. Short-distance charmonium correlator on the lattice with M\"obius domain-wall fermion and a determination of charm quark mass. https://doi.org/10.1103/physrevd.94.054507

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