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We explore a modification of QCD sum rules where, instead of Borel transforms of current correlators, one considers the correlators in coordinate space as functions of Euclidean time. Taking the nucleon channel as an example, we derive such…

High Energy Physics - Phenomenology · Physics 2026-05-06 A. V. Smilga

The $ND\Lambda_c$ coupling constant is evaluated in a full QCD sum rule calculation. We study the Borel sum rule for the three point function of one pseudoscalar one nucleon and one $\Lambda_c$ current up to order seven in the operator…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. S. Navarra , M. Nielsen

We re-examine the use of sum rules in the extraction of light quark masses and discuss a number of potential problems with existing analyses. The most important issue is that of the overall normalization of the hadronic spectral functions…

High Energy Physics - Phenomenology · Physics 2009-09-25 Tanmoy Bhattacharya , Rajan Gupta , Kim Maltman

We show that at certain values of QCD condensates the nucleon QCD sum rules with "pole+continuum" model for the hadron spectrum obtain an unphysical solution. This provides constrains for the values of condensates to be consistent with…

Nuclear Theory · Physics 2010-04-28 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova

Dispersion relations for the scattering of hadrons are considered within the framework of Quantum Chromodynamics. It is argued that the original methods of proof remain applicable. The setting and the spectral conditions are provided by an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Reinhard Oehme

We compare two widely used approaches to the description of hadron properties: QCD sum rules and constituent quark models. Making use of the dispersion formulation of the quark model, we show that both approaches lead to similar spectral…

High Energy Physics - Phenomenology · Physics 2009-11-10 Dmitri Melikhov , Silvano Simula

By incorporating contributions from both the (chromo)electric scale $gT$ and (chromo)magnetic scale $g^2T$, we establish spectral sum rules of quarks for strongly coupled QCD that respect Fermi-Dirac statistics as required by quantum…

High Energy Physics - Theory · Physics 2024-12-31 Yi-Lun Du , Nan Su , Konrad Tywoniuk

This work addresses the calculation of local form factors involved in the theoretical predictions of semileptonic $B$-meson decays at low $q^2$. We present a new approach to the method of QCD light-cone sum rule with $B$-meson light-cone…

High Energy Physics - Phenomenology · Physics 2024-12-30 A. Carvunis , F. Mahmoudi , Y. Monceaux

We develop a three-point formalism to treat vacuum susceptibilities used for the coupling of currents to hadrons within the method of QCD Sum Rules. By introducing nonlocal condensates, with the space-time structure taken from fits to…

High Energy Physics - Phenomenology · Physics 2009-10-30 Mikkel B. Johnson , Leonard S. Kisslinger

Quantum Chromodynamics (QCD) is a firmly established part of the Standard Model, yet its long distance properties remain challenging at a conceptual level. In recent years significant experimental and theoretical progress has been made…

High Energy Physics - Phenomenology · Physics 2009-11-07 Paul Hoyer

The saturation of QCD chiral sum rules of the Weinberg-type is analyzed using ALEPH and OPAL experimental data on the difference between vector and axial-vector correlators (V-A). The sum rules exhibit poor saturation up to current energies…

High Energy Physics - Phenomenology · Physics 2009-11-10 C. A. Dominguez , K. Schilcher

A set of well known chiral sum rules, expected to be valid in QCD, is confronted with experimental data on the vector and axial-vector hadronic spectral functions, obtained from tau-lepton decay by the ALEPH collaboration. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. A. Dominguez , K. Schilcher

The idea of quark-hadron duality is developed and applied to integral sum rules for the photoexcitation of meson resonances. Some applications of the presented approach in the light and heavy quark sectors are made, and the role of the…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. B. Gerasimov

The local-duality formulation of QCD sum rules allows for the prediction of hadronic form factors without knowledge of the subtle details of their structure. With the aid of this formalism, we take a fresh look at the behaviours of the…

High Energy Physics - Phenomenology · Physics 2012-05-31 Irina Balakireva , Wolfgang Lucha , Dmitri Melikhov

Recent ALEPH/OPAL data on the V-A spectral functions from hadronic tau decays are used for fixing the QCD continuum threshold at which the first and second Weinberg sum rules should be satisfied in the chiral limit, and for predicting the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stephan Narison

Achievements in the heavy quark theory over the last decade are reviewed, with the main emphasis put on dynamical methods which quantify nonperturbative effects via application of the Operator Product Expansion. These include the total weak…

High Energy Physics - Phenomenology · Physics 2016-11-23 Nikolai Uraltsev

The relation for transition form factors of eta and eta' mesons is obtained by combining the exact nonperturbative QCD sum rule, following from the dispersive representation of axial anomaly, and quark-hadron duality. It is valid at all…

High Energy Physics - Phenomenology · Physics 2011-10-03 Yaroslav N. Klopot , Armen G. Oganesian , Oleg V. Teryaev

Two new sets of QCD sum rules for the nucleon axial coupling constants are derived using the external-field technique and generalized interpolating fields. An in-depth study of the predicative ability of these sum rules is carried out using…

Nuclear Theory · Physics 2009-10-30 Frank X. Lee , Derek B. Leinweber , Xuemin Jin

We perform a simultaneous global analysis of hadron fragmentation functions (FFs) to various charged hadrons at next-to-leading order in QCD. The world data set includes results from electron-positron single-inclusive annihilation,…

High Energy Physics - Phenomenology · Physics 2024-07-02 Jun Gao , ChongYang Liu , XiaoMin Shen , Hongxi Xing , Yuxiang Zhao

QCD sum rules are used to calculate the $q^2$ dependence of the $\pi NN$ coupling $g_{\pi NN} (q^2)$ in the spacelike region $0.5 \ {\mbox{GeV}}^2 \lesssim q^2 \lesssim 1.5\ {\mbox{GeV}}^2$. We study the Borel sum rule for the three point…

Nuclear Theory · Physics 2008-11-26 Thomas Meissner
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