Analytical determination of the QCD quark masses

The current status of determinations of the QCD running quark masses is reviewed. Emphasis is on recent progress on analytical precision determinations based on finite energy QCD sum rules. A critical discussion of the merits of this approach over other alternative QCD sum rules is provided. Systematic uncertainties from both the hadronic and the QCD sector have been recently identified and dealt with successfully, thus leading to values of the quark masses with unprecedented accuracy. Results currently rival in precision with lattice QCD determinations.

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DETERMINATION OF LIGHT QUARK MASSES IN QCD

International Journal of Modern Physics A ◽

10.1142/s0217751x10051116 ◽

2010 ◽

Vol 25 (29) ◽

pp. 5223-5234 ◽

Cited By ~ 5

Author(s):

C. A. DOMINGUEZ

Keyword(s):

Strange Quark ◽

Sum Rules ◽

Standard Procedure ◽

Light Quark ◽

Qcd Sum Rules ◽

Quark Masses ◽

Systematic Uncertainties ◽

Better Than ◽

The Ideal

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.

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Up- and down-quark masses from finite-energy QCD sum rules to five loops

Physical Review D ◽

10.1103/physrevd.79.014009 ◽

2009 ◽

Vol 79 (1) ◽

Cited By ~ 19

Author(s):

C. A. Dominguez ◽

N. F. Nasrallah ◽

R. H. Röntsch ◽

K. Schilcher

Keyword(s):

Sum Rules ◽

Finite Energy ◽

Qcd Sum Rules ◽

Quark Masses ◽

Down Quark

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LIGHT QUARK MASSES FROM QCD SUM RULES

Modern Physics Letters A ◽

10.1142/s021773231360016x ◽

2013 ◽

Vol 28 (26) ◽

pp. 1360016 ◽

Cited By ~ 2

Author(s):

KARL SCHILCHER

Keyword(s):

Quark Mass ◽

Strange Quark ◽

Sum Rules ◽

Light Quark ◽

Finite Energy ◽

Qcd Sum Rules ◽

Sum Rule ◽

Quark Masses ◽

Strange Quark Mass

Recent QCD sum rule determinations of the light quark masses are reviewed. In the case of the strange quark mass, possible uncertainties are discussed in the framework of finite energy sum rules.

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Current Status of inclusive hadronic tau determinations of |V_us|

10.21468/scipostphysproc.1.006 ◽

2019 ◽

Author(s):

Kim Maltman ◽

P. A. Boyle ◽

R. J. Hudspith ◽

T. Izubuchi ◽

A. Juttner ◽

...

Keyword(s):

Sum Rules ◽

Branching Fractions ◽

Finite Energy ◽

Current Status ◽

Decay Data ◽

The Status ◽

Hadronic Tau

We review the status of the determination of \vert V_{us}\vert|Vus| from both flavor-breaking finite-energy sum rules based on inclusive non-strange and strange hadronic \tauτ decay data and the recent lattice-based analysis of inclusive strange hadronic \tauτ decay data. In particular, we update the results from these analysis frameworks taking into account recent improvements to a number of strange branching fractions reported by HFLAV at CKM2018 and this meeting. We find that inclusive \tauτ decay data yields results for \vert V_{us}\vert|Vus| compatible within errors with the expectations of three-family unitarity.

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