scholarly journals Decay constants, light quark masses, and quark mass bounds from light quark pseudoscalar sum rules

2002 ◽  
Vol 65 (7) ◽  
Author(s):  
Kim Maltman ◽  
Joachim Kambor
Keyword(s):  
Quark Mass ◽  
Sum Rules ◽  
Light Quark ◽  
Decay Constants ◽  
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 Leading isospin-breaking corrections to meson masses on the lattice

2018 ◽  
Vol 175 ◽  
pp. 06002 ◽  
Author(s):  
Davide Giusti ◽  
Vittorio Lubicz ◽  
Guido Martinelli ◽  
Francesco Sanfilippo ◽  
Silvano Simula ◽  
...  
Keyword(s):  
Fine Structure ◽  
Quark Mass ◽  
Light Quark ◽  
Structure Constant ◽  
Mass Splitting ◽  
Fine Structure Constant ◽  
Isospin Breaking ◽  
Decay Constants ◽  
Quark Masses ◽  
Small Parameters

We present a study of the isospin-breaking (IB) corrections to pseudoscalar (PS) meson masses using the gauge configurations produced by the ETM Collaboration with Nf = 2+1+1 dynamical quarks at three lattice spacings varying from 0.089 to 0.062 fm. Our method is based on a combined expansion of the path integral in powers of the small parameters [see formula in PDF] and αem, where [see formula in PDF] is the renormalized quark mass and αem the renormalized fine structure constant. We obtain results for the pion, kaon and Dmeson mass splitting; for the Dashen’s theorem violation parameters ϵγ(MM, 2 GeV), ϵπ0 ϵK0(MS, 2 GeV) for the light quark masses [see formula in PDF] for the flavour symmetry breaking parameters R(MS, 2 GeV) and Q(MS, 2 GeV) and for the strong IB effects on the kaon decay constants.

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.

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 MASS RATIOS (mu:md:ms) FROM MESON AND BARYON MASS SPLITTINGS

2013 ◽  
Vol 28 (25) ◽  
pp. 1360015 ◽  
Author(s):  
PETER MINKOWSKI
Keyword(s):  
Quark Mass ◽  
Sum Rules ◽  
Light Quark ◽  
Nucl Phys ◽  
Qcd Sum Rules ◽  
Baryon Mass ◽  
Mass Ratios ◽  
Light Quark Mass

The basis of the material discussed is our work in collaboration with Arnulfo Zepeda from 1979 [Nucl. Phys. B164, 25 (1980)]. The ingredients and consequences of this work will be presented, and compared with results obtained from QCD sum rules and lattice simulations of QCD in accordance with chiral expansions. An up-to-date conclusion will not be possible in this paper, but some comments towards such goal will be given in a concluding section.

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

TWIST-THREE DISTRIBUTION AMPLITUDES AND OCTET CURRENT DECAY CONSTANTS OF η AND η': A QCD SUM RULE APPROACH

2009 ◽  
Vol 18 (05n06) ◽  
pp. 1318-1323
Author(s):  
J. P. SINGH
Keyword(s):  
Sum Rules ◽  
Light Quark ◽  
Axial Vector ◽  
Vector Current ◽  
Axial Vector Current ◽  
Qcd Sum Rules ◽  
Sum Rule ◽  
Decay Constants ◽  
Current Decay ◽  
Rule Approach

We investigate twist-three distribution amplitudes (DAs) of η and η' using QCD sum rules. Zeroth moments of light quark DAs of η and η' are evaluated and compared with those found in other approaches. The decay constants of the octet axial vector current in the η and η' system are also estimated.

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