# Constraint on the light quark mass mq from QCD sum rules in the I=0 scalar channel

Constraint on the light quark mass mq from QCD sum rules in the I=0 scalar channel In this paper, we reanalyze the I=0 scalar channel with the improved Monte-Carlo-based QCD sum rules, which combines the rigorous Hölder-inequality-determined sum rule window and a parametrization with two-Breit-Wigner-type resonances for the phenomenological spectral density that satisfies the low-energy theorem for the scalar form factor. Considering the uncertainties of the QCD parameters and the experimental masses and widths of the scalar resonances σ and f0(980), we obtain a prediction for light quark mass mq(2  GeV)=12(mu(2  GeV)+md(2  GeV))=4.7-0.7+0.8  MeV, which is consistent with the Particle Data Group value and QCD sum rule determinations in the pseudoscalar channel. This agreement provides a consistent framework connecting QCD sum rules and low-energy hadronic physics. We also obtain the decay constants of σ and f0(980) at 2 GeV, which are approximately 0.64–0.83 and 0.40–0.48 GeV, respectively. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

# Constraint on the light quark mass mq from QCD sum rules in the I=0 scalar channel

, Volume 96 (1) – Jul 1, 2017

## Constraint on the light quark mass mq from QCD sum rules in the I=0 scalar channel

Abstract

In this paper, we reanalyze the I=0 scalar channel with the improved Monte-Carlo-based QCD sum rules, which combines the rigorous Hölder-inequality-determined sum rule window and a parametrization with two-Breit-Wigner-type resonances for the phenomenological spectral density that satisfies the low-energy theorem for the scalar form factor. Considering the uncertainties of the QCD parameters and the experimental masses and widths of the scalar resonances σ and f0(980), we obtain a prediction for light quark mass mq(2  GeV)=12(mu(2  GeV)+md(2  GeV))=4.7-0.7+0.8  MeV, which is consistent with the Particle Data Group value and QCD sum rule determinations in the pseudoscalar channel. This agreement provides a consistent framework connecting QCD sum rules and low-energy hadronic physics. We also obtain the decay constants of σ and f0(980) at 2 GeV, which are approximately 0.64–0.83 and 0.40–0.48 GeV, respectively.

/lp/aps_physical/constraint-on-the-light-quark-mass-mq-from-qcd-sum-rules-in-the-i-0-I0qV88Dgn8
Publisher
American Physical Society (APS)
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.014034
Publisher site
See Article on Publisher Site

### Abstract

In this paper, we reanalyze the I=0 scalar channel with the improved Monte-Carlo-based QCD sum rules, which combines the rigorous Hölder-inequality-determined sum rule window and a parametrization with two-Breit-Wigner-type resonances for the phenomenological spectral density that satisfies the low-energy theorem for the scalar form factor. Considering the uncertainties of the QCD parameters and the experimental masses and widths of the scalar resonances σ and f0(980), we obtain a prediction for light quark mass mq(2  GeV)=12(mu(2  GeV)+md(2  GeV))=4.7-0.7+0.8  MeV, which is consistent with the Particle Data Group value and QCD sum rule determinations in the pseudoscalar channel. This agreement provides a consistent framework connecting QCD sum rules and low-energy hadronic physics. We also obtain the decay constants of σ and f0(980) at 2 GeV, which are approximately 0.64–0.83 and 0.40–0.48 GeV, respectively.

### Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 1, 2017

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