Regular Article - Theoretical Physics
Determination of the up/down-quark mass within QCD sum rules in the scalar channel
College of Physics and Hebei Key Laboratory of Photophysics Research and Application, Hebei Normal University, 050024, Shijiazhuang, China
2 School of Physics, Southeast University, 211189, Nanjing, China
Accepted: 28 August 2021
Published online: 15 September 2021
In this work, we determine up/down-quark mass in the isoscalar scalar channel from both the Shifman–Vainshtein–Zakharov (SVZ) and the Monte-Carlo-based QCD sum rules. The relevant spectral function, including the contributions from the , and resonances, is determined from a sophisticated U(3) chiral study. Via the traditional SVZ QCD sum rules, we give the prediction to the average light-quark mass . Meanwhile, by considering the uncertainties of the input QCD parameters and the spectral functions of the isoscalar scalar channel, we obtain from the Monte-Carlo-based QCD sum rules. Both results are perfectly consistent with each other, and nicely agree with the Particle Data Group value within the uncertainties.
© The Author(s) 2021
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