Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions

Abstract

We determine the light quark masses from lattice QCD simulations incorporating the electromagnetic interaction of valence quarks. The meson masses are calculated on lattice QCD configurations generated by the RBC Collaboration for two flavors of dynamical domain wall fermions, which are combined with QED configurations generated via quenched non-compact lattice QED. The electromagnetic part of the pion mass splitting is found to be $m_{{\pi }^{+}}-m_{{\pi }^0}=4.12(21)$ MeV, where only the statistical error is quoted, and similarly for the kaon, 1.443(55) MeV. Our results for the light quark masses are $m_u^{\overline{\mathrm{MS}}}$(2 GeV)=$3.02(27)(19)$ MeV, $m_d^{\overline{\mathrm{MS}}}$(2 GeV)=$5.49(20)(34)$ MeV, and $m_s^{\overline{\mathrm{MS}}}$(2 GeV)=$119.5(56)(74)$ MeV, where the first error is statistical and the second systematic. By averaging over $\pm e$ to cancel $\mathcal{O}(e)$ noise exactly on each combined gauge field configuration, we are able to work at physical $\alpha =1/137$ and obtain very small statistical errors. In our calculation, several sources of systematic error remain, including finite volume, non-zero lattice spacing, chiral extrapolation, quenched QED, and quenched strange quark, which may be more significant than the errors quoted above.

38 pages, 7 figures. Fixed typo in eq. 47, added footnote to Table I. Version submitted to Phys. Rev. D

References in corpus (1)

• Electromagnetic Corrections in Partially Quenched Chiral Perturbation Theory

Cited by in corpus (24)

• FLAG Review 2021
• Ab initio calculation of the neutron-proton mass difference
• Light Hadron Masses from Lattice QCD
• QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons
• Electromagnetic mass splittings of the low lying hadrons and quark masses from 2+1 flavor lattice QCD+QED
• FLAG Review 2024
• First-principles calculation of electroweak box diagrams from lattice QCD
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• S-parameter and pseudo-Nambu-Goldstone boson mass from lattice QCD
• Two-Particle Elastic Scattering in a Finite Volume Including QED
• eta' meson From Two Flavor Dynamical Domain Wall Fermions
• Uncertainty Quantification in Lattice QCD Calculations for Nuclear Physics
• Nuclear Reactions from Lattice QCD
• Lattice QCD Calculation of the Pion Mass Splitting
• Electromagnetic low-energy constants in ChPT
• A note on the determination of light quark masses
• Radiative corrections to leptonic decays using infinite-volume reconstruction
• Inclusion of isospin breaking effects in lattice simulations
• Electromagnetic Corrections to Meson Masses and the HVP
• Pion mass difference from vacuum polarization
• Quantum Simulation of QED in Coulomb Gauge
• Reducing Hadronic Uncertainty in Low-Energy Neutral-Current Processes
• Can we use hadronic tau decay for V_us determination
• Formal Developments for Lattice QCD with Applications to Hadronic Systems