Hadronic corrections to QCD sum rules and light quark masses

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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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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On QCD sum rules of the Laplace transform type and light quark masses

Physics Letters B ◽

10.1016/0370-2693(81)90193-3 ◽

1981 ◽

Vol 103 (1) ◽

pp. 57-62 ◽

Cited By ~ 141

Author(s):

Stephan Narison ◽

Eduardo de Rafael

Keyword(s):

Laplace Transform ◽

Sum Rules ◽

Light Quark ◽

Qcd Sum Rules ◽

Quark Masses ◽

The Laplace Transform

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Instanton effects in the light-quark masses determination from QCD sum rules

Physics Letters B ◽

10.1016/0370-2693(93)90014-9 ◽

1993 ◽

Vol 313 (3-4) ◽

pp. 430-432 ◽

Cited By ~ 17

Author(s):

Emidio Gabrielli ◽

Paolo Nason

Keyword(s):

Sum Rules ◽

Light Quark ◽

Qcd Sum Rules ◽

Quark Masses

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Light quark masses from QCD sum rules with minimal hadronic bias

Nuclear Physics B - Proceedings Supplements ◽

10.1016/j.nuclphysbps.2008.12.031 ◽

2009 ◽

Vol 186 ◽

pp. 133-136 ◽

Cited By ~ 6

Author(s):

C.A. Dominguez ◽

N.F. Nasrallah ◽

R.H. Röntsch ◽

K. Schilcher

Keyword(s):

Sum Rules ◽

Light Quark ◽

Qcd Sum Rules ◽

Quark Masses

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Finite Temperature QCD Sum Rules: A Review

Advances in High Energy Physics ◽

10.1155/2017/9291623 ◽

2017 ◽

Vol 2017 ◽

pp. 1-24 ◽

Cited By ~ 19

Author(s):

Alejandro Ayala ◽

C. A. Dominguez ◽

M. Loewe

Keyword(s):

Finite Temperature ◽

Chemical Potential ◽

Sum Rules ◽

Light Quark ◽

Axial Vector ◽

Heavy Ion ◽

Qcd Sum Rules ◽

Rho Meson ◽

Ion Collisions ◽

Rule Method

The method of QCD sum rules at finite temperature is reviewed, with emphasis on recent results. These include predictions for the survival of charmonium and bottonium states, at and beyond the critical temperature for deconfinement, as later confirmed by lattice QCD simulations. Also included are determinations in the light-quark vector and axial-vector channels, allowing analysing the Weinberg sum rules and predicting the dimuon spectrum in heavy-ion collisions in the region of the rho-meson. Also, in this sector, the determination of the temperature behaviour of the up-down quark mass, together with the pion decay constant, will be described. Finally, an extension of the QCD sum rule method to incorporate finite baryon chemical potential is reviewed.

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