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.

25 pages,7 figures,2 tables

References in corpus (3)

• Power corrections to alpha_s(M_τ),|V_{us}| and m_s
• QCD Sum Rule Study of the Masses of Light Tetraquark Scalar Mesons
• Instanton interpolating current for $\sigma$--tetraquark

Cited by in corpus (3)

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• Mass spectrum of the $\Omega \bar{\Omega }$ states
• Fully strange tetraquark states via QCD sum rules