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Using the framework of QCD sum rules we predict the twist-3 contribution to the second moment of the polarized nucleon structure function $g_2(x)$. As the relevant local operator depends explicitely on the gluon field, we employ a recently…

High Energy Physics - Phenomenology · Physics 2011-08-11 E. Stein , P. Gornicki , L. Mankiewicz , A. Schaefer , W. Greiner

The Principle of Maximal Conformality (PMC) provides a systematic way to set the renormalization scales order-by-order for any perturbative QCD process. The resulting predictions are independent of the choice of renormalization scheme, a…

High Energy Physics - Phenomenology · Physics 2017-05-17 Jian-Ming Shen , Xing-Gang Wu , Yang Ma , Stanley J. Brodsky

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

Coherent charge transfer in a linear array of tunnel-coupled quantum dots, electrostatically coupled to external gates, is investigated using the Bethe ansatz for a symmetrically biased Hubbard chain. Charge polarization in this correlated…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 R. Kotlyar , C. A. Stafford , S. Das Sarma

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

The form factors and the coupling constants in the $B^{\ast}B^{\ast}\rho$ vertex are evaluated in the framework of three-point QCD sum rules. The correlation functions responsible for the form factors are evaluated considering contributions…

High Energy Physics - Phenomenology · Physics 2012-04-30 Chun-Yu Cui , Yong-Lu Liu , Ming-Qiu Huang

We investigate the transition to perturbative QCD in Compton processes, by concentrating on the specific reactions $\pi \gamma \to \pi \gamma$ and pion photoproduction at moderate energy scales. New sum rules for each of the helicities…

High Energy Physics - Phenomenology · Physics 2011-08-17 Claudio Coriano' , Hsiang-nan Li

We discuss the application of an analytic approach called the analytic perturbation theory (APT) to the QCD analysis of DIS data. In particular, the results of the QCD analysis of a set of `fake' data on the polarized nonsinglet Delta{q3}…

High Energy Physics - Phenomenology · Physics 2015-01-16 A. V. Sidorov , O. P. Solovtsova

The translationally invariant diagrammatic quantum perturbation theory (TPT) is applied to the polaron problem on the 1D lattice, modeled through the Holstein Hamiltonian with the phonon frequency omega0, the electron hopping t and the…

Strongly Correlated Electrons · Physics 2009-11-11 O. S. Barisic , S. Barisic

The sum rule for the first moment of the polarised (virtual) photon structure function $g_1^\gamma(x,Q^2;K^2)$ is revisited in the light of proposals for future $e^+ e^-$ colliders. The sum rule exhibits an array of phenomena characteristic…

High Energy Physics - Phenomenology · Physics 2009-11-10 G. M. Shore

Despite the many empirical successes of QCD, there are a number of intriguing experimental anomalies that have been observed in heavy flavor hadroproduction, in measurements of azimuthal correlations in deep inelastic processes, and in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stanley J. Brodsky

We present the attempt to study the problem of the estimates of higher-order perturbative corrections to physical quantities in the Euclidean region. Our considerations are based on the application of the scheme-invariant methods, namely…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. L. Kataev , V. V. Starshenko

The Thomas Kuhn Reich sum rules and the sum-over-states (SOS) expression for the hyperpolarizabilities are truncated when calculating the fundamental limits of nonlinear susceptibilities. Truncation of the SOS expression can lead to an…

Optics · Physics 2014-02-18 Mark G. Kuzyk

We review our results in\,\cite{ANR22} for the masses and couplings of $T_{ccqq'}\, (J^P=0^+)$ states from (inverse) QCD Laplace sum rule (LSR), their ratios ${\cal R}$ and double ratio of sum rules (DRSR) within stability criteria and…

High Energy Physics - Phenomenology · Physics 2022-12-21 R. M. Albuquerque , S. Narison , D. Rabetiarivony

We analyze two sets of specific functions, that/which form the basis of the nonpower asymptotic expansions both in the timelike and spacelike regions for single scale dependent QCD observables in the Shirkov--Solovtsov's Analytic…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. A. Magradze

In this talk I report on the results of a recent calculation of the \alpha_s corrections to a three-point correlation function at the three-loop level in QCD perturbation theory, which allows one to extract the matrix element of B^0 -\bar…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Pivovarov

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

We analyze the resonance contributions to the generalized Baldin sum rule, namely the sum of the generalized electric and magnetic nucleon polarizabilities $\alpha_E(Q^2)$ and $\beta_M(Q^2)$, within the Holographic QCD model by Witten,…

High Energy Physics - Phenomenology · Physics 2024-06-19 Federico Castellani

In the one-photon exchange approximation we discuss questions related to the interpretation of unexpected results of the JLab polarization experiments to measure the Sachs form factors ratio $G_E/G_M$ in the region $1. 0 \leq Q^2 \leq 8.5$…

High Energy Physics - Phenomenology · Physics 2014-03-20 M. V. Galynskii , E. A. Kuraev

I discuss aspects of the QCD sum rule method which attracted theorists' attention in earnest at a relatively late stage and are not yet fully solved. At first I briefly review such general topics as the structure of the operator product…

High Energy Physics - Phenomenology · Physics 2015-03-17 M. Shifman