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The saturation of the two Weinberg sum rules is studied at finite temperature, using recent independent QCD sum rule results for the thermal behaviour of hadronic parameters in the vector and axial-vector channels. Both sum rules are very…

High Energy Physics - Phenomenology · Physics 2014-08-27 A. Ayala , C. A. Dominguez , M. Loewe , Y. Zhang

We consider a Borel sum definition of all-orders perturbation theory for Minkowskian QCD observables such as the R(e+e-) ratio, and show that both this perturbative component and the additional non-perturbative Operator Product Expansion…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. M. Howe , C. J. Maxwell

We exploit theoretical results on the meson spectrum within the framework of a Bethe-Salpeter (BS) formalism adjusted for QCD, in order to extract an ``experimental'' coupling \alpha_s^{exp}(Q^2) below 1 GeV by comparison with the data. Our…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Baldicchi , A. V. Nesterenko , G. M. Prosperi , D. V. Shirkov , C. Simolo

New relations between Bjorken polarized, Bjorken unpolarized and Gross-Llewellyn Smith sum rules are desribed. These relations are valid in the region, where both perturbative series and the series in power-suppressed $1/Q^2$-terms do not…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. L. Kataev

The Principle of Maximum Conformality (PMC) provides scale-fixed perturbative QCD predictions which are independent of the choice of the renormalization scheme, as well as the choice of the initial renormalization scale. In this article, we…

High Energy Physics - Phenomenology · Physics 2017-08-22 Alexandre Deur , Jian-Ming Shen , Xing-Gang Wu , Stanley J. Brodsky , Guy F. de Teramond

We discuss the possible target mass corrections in the QCD analysis of nucleon's spin-dependent structure functions measured in the polarized deep-inelastic leptoproduction. The target mass correction for the QCD Bjorken sum rule is…

High Energy Physics - Phenomenology · Physics 2016-09-01 Hiroyuki KAWAMURA , Tsuneo UEMATSU

We propose a method to use lattice QCD to compute the Borel transform of the vacuum polarization function appearing in the Shifman-Vainshtein-Zakharov QCD sum rule. We construct the spectral sum corresponding to the Borel transform from…

High Energy Physics - Lattice · Physics 2021-11-15 Tsutomu Ishikawa , Shoji Hashimoto

The forms of the neutral, non-strange pseudoscalar propagator matrix and mixed axial current correlator, $\lngle0|T(A_\mu^3 A_\nu^8)|0\rangle$, are discussed at next-to-leading (one-loop) order in chiral perturbation theory, and the results…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kim Maltman

For the GLS and Bjorken DIS sum rules we compare fixed-order NNLO perturbative QCD estimates, and all-orders resummed estimates, with the available data, in order to assess the reliability of fixed-order perturbation theory at rather small…

High Energy Physics - Phenomenology · Physics 2007-06-22 Paul M. Brooks , C. J. Maxwell

The form factors and the coupling constant of the $B_s B^* K $ and $B_s B K^*$ vertices are calculated using the QCD sum rules method. Three point correlation functions are computed considering both the heavy and light mesons off-shell in…

High Energy Physics - Phenomenology · Physics 2015-05-20 A. Cerqueira , B. Osório Rodrigues , M. E. Bracco , M. Nielsen

We provide a consistent regularization procedure for calculating hadron structure functions in a chiral quark model. The structure functions are extracted from the absorptive part of the forward Compton amplitude in the Bjorken limit. Since…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Weigel , E. Ruiz Arriola , L. Gamberg

The QCD higher order effects to the polarized structure function $g_2(x, Q^2 )$ are reanalyzed for massive quarks in the context of the operator product expansion. We confirm that the lowest moment of $g_2 (x, Q^2 )$ which corresponds to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jiro Kodaira , Satoshi Matsuda , Tsuneo Uematsu , Ken Sasaki

The connection between ghost-free formulations of RG-invariant perturbation theory in the both Euclidean and Minkowskian regions is studied. Our basic tool is the "double spectral representation", similar to definition of Adler function,…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. V. Shirkov

New data on polarized $\mu-p$ and $e-p$ scattering permit a first determination of $\alpha_s$ using the Bjorken sum rule, as well as higher precision in determining the nucleon spin decomposition. Using perturbative QCD calculations to…

High Energy Physics - Phenomenology · Physics 2009-09-25 John Ellis , Marek Karliner

A new approach of the QCD sum rule is proposed in which positive and negative-parity baryons couple with each other. With positive and negative-parity states explicitly taken into account, sum rules are derived by means of the dispersion…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yoshihiko Kondo , Osamu Morimatsu , Tetsuo Nishikawa

The recent calculation of the four-loop beta function in QCD provides further evidence that the Banks-Zaks expansion in 16half-n_f is sufficiently well behaved to be useful even for n_f=2 light flavours. This expansion inherently predicts…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. A. Caveny , P. M. Stevenson

The form factors and the coupling constant of the $B_s^* B K$ vertex are calculated using the QCD sum rules method. Three point correlation functions are computed considering both $K$ and $B$ mesons off-shell and, after an extrapolation of…

High Energy Physics - Phenomenology · Physics 2014-12-02 A. Cerqueira , B. Osório Rodrigues , M. E. Bracco

We study the renormalization-scheme (RS) dependence of Pade Approximants (PA's), and compare them with the Principle of Minimal Sensitivity (PMS) and the Effective Charge (ECH) approaches. Although the formulae provided by the PA, PMS and…

High Energy Physics - Phenomenology · Physics 2009-09-11 John Ellis , Einan Gardi , Marek Karliner , Mark A. Samuel

We present an overview of a novel approach to the QCD Light-Cone Sum Rule method, employing $B$-meson Light-Cone Distribution Amplitudes. This method circumvents the semi-global quark-hadron duality (QHD) approximation, which can introduce…

High Energy Physics - Phenomenology · Physics 2024-12-11 Y. Monceaux

We study correlated two-level quantum dots, coupled in effective 1-channel fashion to metallic leads; with electron interactions including on-level and inter-level Coulomb repulsions, as well as the inter-orbital Hund's rule exchange…

Strongly Correlated Electrons · Physics 2009-10-05 David E. Logan , Christopher J. Wright , Martin R. Galpin
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