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.

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 INTEGRAL TRANSFORM TECHNIQUE FOR MESON WAVE FUNCTIONS

1996 ◽  
Vol 11 (20) ◽  
pp. 1611-1626 ◽  
Author(s):  
A.P. BAKULEV ◽  
S.V. MIKHAILOV
Keyword(s):  
Wave Function ◽  
Sum Rules ◽  
Integral Transform ◽  
Wave Functions ◽  
Sum Rule ◽  
New Approach ◽  
Exactly Solvable ◽  
The Stability ◽  
The Masses ◽  
Integral Transform Technique

In a recent paper1 we have proposed a new approach for extracting the wave function of the π-meson φπ(x) and the masses and wave functions of its first resonances from the new QCD sum rules for nondiagonal correlators obtained in Ref. 2. Here, we test our approach using an exactly solvable toy model as illustration. We demonstrate the validity of the method and suggest a pure algebraic procedure for extracting the masses and wave functions relating to the case under investigation. We also explore the stability of the procedure under perturbations of the theoretical part of the sum rule. In application to the pion case, this results not only in the mass and wave function of the first resonance (π′), but also in the estimation of π″-mass.

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 ON THE QCD SUM RULE DETERMINATION OF THE STRANGE QUARK MASS

2001 ◽  
Vol 16 (supp01b) ◽  
pp. 588-590 ◽  
Author(s):  
NELLO PAVER
Keyword(s):  
Spectral Function ◽  
Quark Mass ◽  
Strange Quark ◽  
Sum Rules ◽  
Sum Rule ◽  
Strange Quark Mass ◽  
Current Quark Mass ◽  
Current Quark

I briefly review recent QCD Sum Rules determinations of the strange current quark mass, based on the analysis of the two-point ΔS=1 scalar correlators and discuss, in particular, the role of resonances and non-resonant background in the spectral function.

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

scholarly journals Extraction of light quark masses from sum rule analyses of axial vector and vector current Ward identities

1998 ◽  
Vol 57 (9) ◽  
pp. 5455-5467 ◽  
Author(s):  
Tanmoy Bhattacharya ◽  
Rajan Gupta ◽  
Kim Maltman
Keyword(s):  
Light Quark ◽  
Axial Vector ◽  
Vector Current ◽  
Ward Identities ◽  
Sum Rule ◽  
Quark Masses

A LOWER BOUND ON THE HIGGS BOSON AND TOP QUARK MASSES FROM A CONSTRAINT ON THE Φ4 COUPLING

1991 ◽  
Vol 06 (18) ◽  
pp. 1701-1707
Author(s):  
S. MAHAJAN ◽  
A. MUKHERJEE ◽  
N. PANCHAPAKESAN ◽  
R. P. SAXENA ◽  
S. K. SETHI
Keyword(s):  
Higgs Boson ◽  
Lower Bound ◽  
Lower Bounds ◽  
Top Quark ◽  
Temperature Dependent ◽  
Quark Masses ◽  
Dependent Theory ◽  
The Masses ◽  
Electroweak Model

It is pointed out that by imposing the requirement of non-negativity on the running ϕ4 coupling λ(t) in the standard electroweak model, lower bounds on the masses of the Higgs boson and the top quark can be obtained. If m H ≳ 25 GeV , the bound corresponds to mt ≳ 45 GeV . More useful bounds can be derived in a temperature-dependent theory.

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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