Short-distance charmonium correlator on the lattice with Möbius domain-wall fermion and a determination of charm quark mass

Abstract

We calculate charmonium correlators on the lattice with 2+1-flavors of sea quarks and charm valence quark both described by the Möbius 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 ${\alpha }_s^{\overline{\mathrm{MS}}(4)}(3\mathrm{GeV})$ = 0.253(13). Dominant source of the error is the truncation of perturbative expansion at ${\alpha }_s^3$.

32 pages, 10 figures, 10 tables

References in corpus (14)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• High-precision scale setting in lattice QCD
• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions
• High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Reconstruction of heavy quark current correlators at O(α_s^3)
• Charm and Bottom Quark Masses from Perturbative QCD
• Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD
• Low energy moments of heavy quark current correlators at four loops
• Higher Moments of Heavy Quark Correlators in the Low Energy Limit at O(alpha_s^2)
• Resummation of Threshold, Low- and High-Energy Expansions for Heavy-Quark Correlators
• Decay constants and spectroscopy of mesons in lattice QCD using domain-wall fermions
• Analysis of short-distance current correlators using OPE

Cited by in corpus (41)

• The anomalous magnetic moment of the muon in the Standard Model
• FLAG Review 2019
• FLAG Review 2021
• 50 Years of Quantum Chromodynamics
• Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD
• Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
• Snowmass 2021 whitepaper: Proton structure at the precision frontier
• FLAG Review 2024
• Charmonium properties from lattice QCD + QED: hyperfine splitting, $J/\psi$ leptonic width, charm quark mass and $a_{\mu }^c$
• Inclusive semi-leptonic decays from lattice QCD
• Challenges in Semileptonic B Decays
• QCD Running Couplings and Effective Charges
• Determination of the QCD coupling from the static energy and the free energy
• Determination of quark masses from ${\mathbf{n}}_{\mathbf{f}}=4$ lattice QCD and the RI-SMOM intermediate scheme
• Reconstruction of smeared spectral function from Euclidean correlation functions
• Form factors of $B\to \pi \ell \nu$ and a determination of $|V_{ub}|$ with Möbius domain-wall-fermions
• Strong coupling constant and heavy quark masses in 2+1 flavor QCD
• $B\to D^{\ast }\ell {\nu }_{\ell }$ semileptonic form factors from lattice QCD with Möbius domain-wall quarks
• Precision physics with inclusive QCD processes
• Non-perturbative renormalization by decoupling
• Strong coupling constant from moments of quarkonium correlators revisited
• Determination of the quark condensate from heavy-light current-current correlators in full lattice QCD
• Lattice determinations of the strong coupling
• Determination of ${\alpha }_s(m_Z)$ by the non-perturbative decoupling method
• Lattice computation of the Dirac eigenvalue density in the perturbative regime of QCD
• Strong coupling constant and quark masses from lattice QCD
• The asymptotic approach to the continuum of lattice QCD spectral observables
• Charm Quark Mass with Calibrated Uncertainty
• Precise determination of ${\alpha }_s$ from relativistic quarkonium sum rules
• Precise ${\alpha }_s$ determination from charmonium sum rules
• Portal Effective Theories: A framework for the model independent description of light hidden sector interactions
• Determination of the charm quark mass in lattice QCD with $2+1$ flavours on fine lattices
• Hints and challenges in heavy flavor physics
• Lattice calculation of coordinate-space vector and axial-vector current correlators in QCD
• Approaching the Bottom Using Fine Lattices With Domain-Wall Fermions
• Stochastic calculation of the Dirac spectrum on the lattice and a determination of chiral condensate in 2+1-flavor QCD
• Renormalization Group Improvement and QCD Sum Rules
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Spectral sum of current correlators from lattice QCD
• Determination of charm quark mass from temporal moments of charmonium correlator with Mobius domain-wall fermion
• Renormalization of bilinear and four-fermion operators through temporal moments