Finite-energy sum rules and light-quark masses

1983 ◽  
Vol 76 (4) ◽  
pp. 723-733 ◽  
Author(s):  
A. L. Kataev ◽  
N. V. Krasnikov ◽  
A. A. Pivovarov
Keyword(s):  
Sum Rules ◽  
Light Quark ◽  
Finite Energy ◽  
Quark Masses

LIGHT QUARK MASSES FROM QCD SUM RULES

2013 ◽  
Vol 28 (26) ◽  
pp. 1360016 ◽  
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.

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

2009 ◽  
Vol 79 (1) ◽  
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

scholarly journals DETERMINATION OF LIGHT QUARK MASSES IN QCD

2010 ◽  
Vol 25 (29) ◽  
pp. 5223-5234 ◽  
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.

scholarly journals Light quark masses from scalar sum rules

2002 ◽  
Vol 24 (2) ◽  
pp. 237-243 ◽  
Author(s):  
M. Jamin ◽  
J.A. Oller ◽  
A. Pich
Keyword(s):  
Sum Rules ◽  
Light Quark ◽  
Quark Masses

Quark mass determinations in QCD

2014 ◽  
Vol 29 (28) ◽  
pp. 1430031 ◽  
Author(s):  
C. A. Dominguez
Keyword(s):  
Heavy Quark ◽  
Light Quark ◽  
Finite Energy ◽  
Experimental Information ◽  
Bottom Quarks ◽  
Spectral Functions ◽  
Quark Masses ◽  
Quark Sector ◽  
Vector Channel ◽  
Systematic Uncertainties

Recent progress on QCD sum rule determinations of the light and heavy quark masses is reported. In the light quark sector a major breakthrough has been made recently in connection with the historical systematic uncertainties due to a lack of experimental information on the pseudoscalar resonance spectral functions. It is now possible to suppress this contribution to the 1% level by using suitable integration kernels in Finite Energy QCD sum rules. This allows to determine the up-, down-, and strange-quark masses with an unprecedented precision of some 8–10%. In the heavy quark sector, the availability of experimental data in the vector channel, and the use of suitable multipurpose integration kernels allows to increase the accuracy of the charm- and bottom-quarks masses to the 1% level.

scholarly journals Hölder Inequalities and QCD Sum-Rule Bounds on the Masses of Light Quarks

2001 ◽  
Vol 16 (supp01b) ◽  
pp. 582-584
Author(s):  
T. G. Steele
Keyword(s):  
Lower Bound ◽  
Spectral Function ◽  
Sum Rules ◽  
Light Quark ◽  
Hölder Inequality ◽  
Sum Rule ◽  
Quark Masses ◽  
The Masses

QCD Laplace Sum-Rules must satisfy a fundamental Hölder inequality if they are to consistently represent an integrated hadronic spectral function. The Laplace sum-rules of pion currents is shown to violate this inequality unless the u and d quark masses are sufficiently large, placing a lower bound on mu+md, the SU(2)-invariant combination of the light-quark masses.

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