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The dispersive approach to quantum chromodynamics is applied to the study of the hadronic vacuum polarization function and associated quantities. This approach merges the intrinsically nonperturbative constraints, which originate in the…

High Energy Physics - Phenomenology · Physics 2015-07-14 A. V. Nesterenko

We review the calculations of form factors and coupling constants in vertices with charm mesons in the framework of QCD sum rules. We first discuss the motivation for this work, describing possible applications of these form factors to…

High Energy Physics - Phenomenology · Physics 2015-05-27 M. E. Bracco , M. Chiapparini , F. S. Navarra , M. Nielsen

The recent precise measurement of the muon magnetic anomaly (g-2)_{mu} at BNL opens a window into possible new physics, provided the contribution from hadronic vacuum polarization is well understood. This talk summarizes the development in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andreas Hocker

Point-to-point correlation functions of hadron currents in the QCD vacuum are calculated on a lattice and analyzed using dispersion relations, providing physical information down to small spatial separations. Qualitative agreement with…

High Energy Physics - Lattice · Physics 2008-11-26 M. -C. Chu , J. M. Grandy , S. Huang , J. W. Negele

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 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

In these lectures, I present several important applications of QCD sum rules to the decay processes involving heavy-flavour hadrons. The first lecture is introductory. As a study case, the sum rules for decay constants of the heavy-light…

High Energy Physics - Phenomenology · Physics 2013-12-24 Alexander Khodjamirian

Applications of QCD sum-rule methods to the physics of nuclei are reviewed, with an emphasis on calculations of baryon self-energies in infinite nuclear matter. The sum-rule approach relates spectral properties of hadrons propagating in the…

High Energy Physics - Phenomenology · Physics 2016-09-01 T. D. Cohen , R. J. Furnstahl , D. K. Griegel , Xuemin Jin

We consider a phenomenologycal parametrization of the QCD running coupling which arises from the dispersion relation respecting the holomorphic properties of the physical QCD observables in the complex momentum plane. The parameters are…

High Energy Physics - Phenomenology · Physics 2017-10-03 Cesar Ayala

QCD sum rules for decuplet baryon two-point functions are investigated using a comprehensive Monte-Carlo based procedure. In this procedure, all uncertainties in the QCD input parameters are incorporated simultaneously, resulting in…

High Energy Physics - Phenomenology · Physics 2009-09-25 Frank X. Lee

The tensor susceptibility of QCD vacuum is calculated in the global color symmetry model. The input parameters for gluon propagators are determined via the simplified equation for calculating the pion decay constant. The reason for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hongting Yang

We study the extraction of the ground-state parameters from vacuum-to-vacuum correlators. We work in quantum-mechanical potential model which provides the only possibility to probe the reliability and the actual accuracy of this method: one…

High Energy Physics - Phenomenology · Physics 2010-02-05 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We derive a novel model-independent result for the pion susceptibility in QCD via the isovector-pseudoscalar vacuum polarisation. In the neighbourhood of the chiral-limit, the pion susceptibility can be expressed as a sum of two independent…

Nuclear Theory · Physics 2014-11-20 Lei Chang , Yu-Xin Liu , Craig D. Roberts , Yuan-Mei Shi , Wei-Min Sun , Hong-Shi Zong

We illustrate the general scheme of the Sum Rule (SR) method using 2D Quantum Harmonic Oscillator (2DQHO) as a toy model. We introduce correlator, related to Green function of 2DQHO, and describe the property of Asymptotic Freedom for…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexander P. Bakulev

For special kinematic configurations involving a single momentum scale, certain standard relations, originating from the Slavnov-Taylor identities of the theory, may be interpreted as ordinary differential equations for the ``kinetic term''…

High Energy Physics - Phenomenology · Physics 2020-10-28 A. C. Aguilar , M. N. Ferreira , J. Papavassiliou

We derive QCD sum rules from the nucleon two-point function in nuclear medium, calculating its specral function in chiral perturbation theory to one loop. Our calculation shows the inadequacy of the commonly used ansatz to represent the…

Nuclear Theory · Physics 2007-05-23 S. Mallik , Hiranmaya Mishra

In this article, we firstly analyze the mass and pole residue of negative parity nucleon $N^*(1535)$ within the two-point QCD sum rules. Basing on these results, we continuously study the strong coupling constants of vertices…

High Energy Physics - Phenomenology · Physics 2025-09-26 Jie Lu , Dian-Yong Chen , Guo-Liang Yu , Zhi-Gang Wang , Ze Zhou

We formulate a partonic description of hadronic gravitational form factors within QCD, focusing on the three-point function of the energy-momentum tensor and two gluon currents. Despite the lack of exact conformal symmetry in QCD, the…

High Energy Physics - Phenomenology · Physics 2026-03-31 Claudio Corianò , Stefano Lionetti , Dario Melle , Leonardo Torcellini

Coupling constants of the pseudoscalar mesons to the octet baryons are calculated in the QCD sum rule approach. Two-point correlation function of the baryons are evaluated in a single meson state and the vacuum, which yields the designated…

High Energy Physics - Phenomenology · Physics 2011-07-19 Takumi Doi , Yoshihiko Kondo , Makoto Oka

We construct QCD sum rules for nonperturbative studies without assuming the quark-hadron duality for the spectral density at low energy on the hadron side. Instead, both resonance and continuum contributions to the spectral density are…

High Energy Physics - Phenomenology · Physics 2021-01-04 Hsiang-nan Li , Hiroyuki Umeeda