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The procedure of extracting the ground-state parameters from vacuum-to-vacuum and vacuum-to-hadron correlators within the method of sum rules is considered. The emphasis is laid on the crucial ingredient of this method - the effective…

High Energy Physics - Phenomenology · Physics 2014-11-20 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We study the accuracy of the bound-state parameters obtained with the method of dispersive sum rules, one of the most popular theoretical approaches in nonperturbative QCD and hadron physics. We make use of a quantum-mechanical potential…

High Energy Physics - Phenomenology · Physics 2010-04-28 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We compare the extraction of the ground-state decay constant from the two-point correlator in QCD and in potential models and show that the results obtained at each step of the extraction procedure follow a very similar pattern. We prove…

High Energy Physics - Phenomenology · Physics 2010-03-17 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We formulate a new algorithm for obtaining the effective continuum threshold in vacuum-to-bound-state correlators - the basic objects for the calculation of hadron form factors in the method of light-cone sum rules in QCD. The effective…

High Energy Physics - Phenomenology · Physics 2010-01-07 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian , Silvano Simula

We analyse the extraction of the bound-state form factor from vacuum-to-hadron correlator, which is the basic object for the calculation of hadron form factors in the method of light-cone sum rules in QCD. We study this correlator in…

High Energy Physics - Phenomenology · Physics 2010-04-21 Dmitri Melikhov

Puzzled or surprised by the almost incredible accuracy occasionally claimed in the literature to be achievable for numerical outcomes of QCD sum-rule analyses, we scrutinized the usual procedure employed for the extraction of the parameters…

High Energy Physics - Phenomenology · Physics 2009-06-25 Wolfgang Lucha , D. Melikhov , S. Simula

This talk reviews the recent progress in the extraction of bound-state characteristics from the operator-product expansion (OPE) for field-theory correlators, which constitutes the basis of the method of QCD sum rules. This progress is…

High Energy Physics - Phenomenology · Physics 2012-02-22 Dmitri Melikhov

We discuss the extraction of ground-state parameters, such as decay constants and form factors, from two- and three-point dispersive sum rules, making use of a quantum-mechanical potential model. This model provides a unique possibility to…

High Energy Physics - Phenomenology · Physics 2009-06-25 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We discuss the details of calculating hadron properties from the OPE for correlators of quark currents in QCD, which constitutes the basis of the method of QCD sum rules. The main emphasis is laid on gaining control over the systematic…

High Energy Physics - Phenomenology · Physics 2015-06-03 Dmitri Melikhov

We review the recent progress in the applications of QCD sum rules to hadron properties with the emphasis on the following selected problems: (i) development of new algorithms for the extraction of ground-state parameters from two-point…

High Energy Physics - Phenomenology · Physics 2016-01-26 Dmitri Melikhov

This talk presents the results of our study of systematic errors of the ground-state parameters obtained by Shifman-Vainshtein-Zakharov (SVZ) sum rules. We use the harmonic-oscillator potential model as an example: in this case we know the…

High Energy Physics - Phenomenology · Physics 2007-12-04 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Modifying the standard approaches to nonperturbative QCD based on Borel-transformed dispersive sum rules by allowing the effective continuum thresholds required for the implementation of quark-hadron duality to depend on the Borel…

High Energy Physics - Phenomenology · Physics 2011-02-01 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We study the possibility to control systematic errors of the ground-state parameters obtained by Shifman-Vainshtein-Zakharov (SVZ) sum rules, making use of the harmonic-oscillator potential model as an example. In this case, one knows the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We study the uncertainties of the determination of the ground-state parameters from Shifman-Vainshtein-Zakharov (SVZ) sum rules, making use of the harmonic-oscillator potential model as an example. In this case, one knows the exact solution…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

A novel procedure for extracting hadron characteristics from QCD sum rules, based on effective continuum thresholds (necessary for the implementation of quark-hadron duality) which may depend on the involved momenta and on the Borel…

High Energy Physics - Phenomenology · Physics 2011-06-15 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Dispersive sum rules constitute long-standing tools for extracting hadron features from QCD. We estimate the systematic uncertainties induced by assuming quark-hadron duality and improve the accuracy of the resulting predictions by…

High Energy Physics - Phenomenology · Physics 2015-03-19 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

The consistency of effective models with QCD is investigated through the use of the QCD sum rule. Taking the potential model for the heavy quark system, we apply the method to two phenomenologically successful parameter sets, and obtain the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Matsuki , K. Yazaki

We discuss the extraction of form factors from three-point sum rules making use of harmonic-oscillator model, where we derive the exact expression for the relevant correlator. We determine the form factor of the ground state by the standard…

High Energy Physics - Phenomenology · Physics 2010-04-28 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We study systematic errors of the ground-state parameters obtained by Shifman-Vainshtein-Zakharov (SVZ) sum rules, making use of the harmonic-oscillator potential model as an example. In this case, one knows the exact solution for the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

In traditional QCD sum rules, the simple hadron spectral density model of ``delta-function-type ground state + theta-function-type continuous spectrum" determines that there is no perfect parameter selection. In recent years, inverse…

High Energy Physics - Phenomenology · Physics 2024-07-16 Zhen-Xing Zhao , Yi-Peng Xing , Run-Hui Li
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