Determination of the up/down-quark mass within QCD sum rules in the scalar channel

Abstract

In this work, we determine up/down-quark mass $m_{q=u/d}$ 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 $f_0(500)$, $f_0(980)$ and $f_0(1370)$ 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 $m_q(2\text{GeV})=\frac{1}{2}(m_u(2\text{GeV})+m_d(2\text{GeV}))=(3.46_{-0.22}^{+0.16}\pm 0.33)\text{MeV}$. Meanwhile, by considering the uncertainties of the input QCD parameters and the spectral functions of the isoscalar scalar channel, we obtain $m_q(2\text{GeV})=(3.44\pm 0.14\pm 0.32)\text{MeV}$ 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.

arXiv comment25 pages,7 figures,2 tables

References in corpus (28)

• FLAG Review 2019
• Exotica
• Short-distance tachyonic gluon mass and 1/Q^2 corrections
• QCD Sum Rules for Skeptics
• QCD tests from $e^+e^- \rar I=1~$ hadrons data and implication on the value of ${\alpha }_s$ from $\tau$-decays
• Light Quark Masses from QCD
• Power corrections to alpha_s(M_τ),|V_{us}| and m_s
• Resonances from meson-meson scattering in U(3) CHPT
• QCD sum rule approach for the light scalar mesons as four-quark states
• Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality
• Light quark masses from scalar sum rules
• QCD Tests of the Puzzling Scalar Mesons
• Light Scalar Tetraquark Mesons in the QCD Sum Rule
• QCD Sum-Rule Consistency of Lowest-Lying Quark Scalar Resonances
• Order-${\alpha }_s^3$ determination of the strange quark mass
• QCD Sum Rule Study of the Masses of Light Tetraquark Scalar Mesons
• Estimating the mass of the hidden charm $1^{+}(1^{+})$ tetraquark state via QCD sum rules
• Chiral dynamics in U(3) unitary chiral perturbation theory
• Improved light quark masses from pseudoscalar sum rules
• Analysis the $0^{++}$ nonet mesons as four-quark states with the QCD sum rules
• Scalar Mesons in QCD
• Hoelder Inequalities and Isospin Splitting of the Quark Scalar Mesons
• Instanton interpolating current for $\sigma$--tetraquark
• Constraints on QCD Sum-rules from the Hölder Inequalities
• Molecular states with hidden charm and strange in QCD Sum Rules
• A comprehensive revisit of the $\rho$ meson with improved Monte-Carlo based QCD sum rules
• Constraint on the light quark mass $m_q$ from QCD Sum Rules in the $I=0$ scalar channel
• Up- and down-quark masses from QCD sum rules

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