Determination of light quark masses in QCD

Abstract

The standard procedure to determine (analytically) the values of the quark masses is to relate QCD two-point functions to experimental data in the framework of QCD sum rules. In the case of the light quark sector, the ideal Green function is the pseudoscalar correlator which involves the quark masses as an overall multiplicative factor. For the past thirty years this method has been affected by systematic uncertainties originating in the hadronic resonance sector, thus limiting the accuracy of the results. Recently, a major breakthrough has been made allowing for a considerable reduction of these systematic uncertainties and leading to light quark masses accurate to better than 8%. This procedure will be described in this talk for the up-, down-, strange-quark masses, after a general introduction to the method of QCD sum rules.

Plenary talk at the Conference in honour of Murray Gell-Mann's 80th birthday, Nanyang Technical University, Singapore, February 2010. To be published in the proceedings (Mod. Phys. Lett. A). This talk is based on work done in collaboration with N. F. Nasrallah, R. H. Röntsch, and K. Schilcher

References in corpus (16)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• Physical Results from 2+1 Flavor Domain Wall QCD and SU(2) Chiral Perturbation Theory
• Scalar Correlator at O(alpha_s^4), Higgs Decay into b-quarks and Bounds on the Light Quark Masses
• Renormalization group analysis of the tau-lepton decay within QCD
• The Determination of alpha_s from Tau Decays Revisited
• Light Quark Masses from QCD
• The Strange Quark Mass from QCD Sum Rules
• Mass singularities in light quark correlators: the strange quark case
• Charmonium in the vector channel at finite temperature from QCD sum rules
• QCD vacuum condensates from tau-lepton decay data
• The strange-quark mass from QCD sum rules in the pseudoscalar channel
• Strange quark mass from Finite Energy QCD sum rules to five loops
• Is there evidence for dimension-two corrections in QCD two-point functions?
• Up and down quark masses from Finite Energy QCD sum rules to five loops
• Phenomenological Analysis of a Dimension-Two Operator in QCD and its Impact on ${\alpha }_s(M_{\tau })$
• Precise determination of $B_K$ and light quark masses in quenched domain-wall QCD

Cited by in corpus (4)

• Corrections to the $\mathbf{SU}(3)\times \mathbf{SU}(3)$ Gell-Mann-Oakes-Renner relation and chiral couplings $L_8^r$ and $H_2^r$
• Analytical determination of the QCD quark masses
• Tensor form factors of $B\to K_1$ transition from QCD light cone sum rules
• On the thermal phase structure of QCD at vanishing chemical potentials