m_u + m_d from QCD-Hadron Duality

Abstract

The value of the light quark masses combination $m_u+m_d$ is analized using QCD-Hadron Duality. A detailed analysis of both the perturbative QCD [to four-loops] and the hadronic parametrization needed is done. The result we get is $[m_u+m_d](1Ge{V}^2)=(12.8\pm 2.5)$ MeV ($[m_u+m_d](4Ge{V}^2)=(9.8\pm 1.9)$ MeV) in the $\barMS$ scheme.

9 pages, LaTeX, 2 ps figures, uses epsf.sty. To be published in Proceedings of the ``High Energy Conference on Quantum Chromodynamics (QCD '97)'', 3-9 July 1997, Montpellier, France

References in corpus (1)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)

Cited by in corpus (13)

• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Two-point Functions at Two Loops in Three Flavour Chiral Perturbation Theory
• Precision computation of the strange quark's mass in quenched QCD
• The Standard Model Prediction for epsilon'/epsilon
• Decay constants, light quark masses and quark mass bounds from light quark pseudoscalar sum rules
• Violation of Quark-Hadron Duality and Spectral Chiral Moments in QCD
• Charged Kaon K \to 3 pi CP Violating Asymmetries at NLO in CHPT
• m_u+m_d From Isovector Pseudoscalar Sum Rules
• Isospin-Breaking Vector Meson Decay Constants From Continuous Families of Finite Energy Sum Rules
• Extraction of m_s and |V_us| from Hadronic Tau Decays
• Chiral symmetry
• Hadronic Matrix Elements for Kaons
• Bounds on the Light Quark Masses: the scalar channel revisited