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Related papers: Bjorken sum rule with analytic coupling

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A new technique based on H\"older's integral inequality is applied to QCD sum-rules to provide fundamental constraints on the sum-rule parameters. These constraints must be satisfied if the sum-rules are to consistently describe integrated…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Benmerrouche , G. Orlandini , T. G. Steele

The Gerasimov-Drell-Hearn sum rule and related dispersive integrals connect real and virtual Compton scattering to inclusive photo- and electroproduction. Being based on universal principles as causality, unitarity, and gauge invariance,…

Nuclear Theory · Physics 2009-12-17 D. Drechsel

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

The goal of research is to devise a modification of the perturbative QCD that should be regular in the low-energy region and could serve as a practical means for the analysis of data below 1 \GeV up to the IR limit. Recent observation of…

High Energy Physics - Theory · Physics 2015-06-11 D. V. Shirkov

Considering the magnetic moment and polarizabilities of the nucleon we emphasize the need for relativistic chiral EFT calculations. Our relativistic calculations are done via the forward-Compton-scattering sum rules, thus ensuring the…

Nuclear Theory · Physics 2014-11-18 Vladimir Pascalutsa

The generalized Baldin sum rule for virtual photon scattering, the unpolarized analogy of the generalized Gerasimov-Drell-Hearn integral, provides an important way to investigate the transition between perturbative QCD and hadronic…

Nuclear Experiment · Physics 2014-11-18 Y. Liang , M. E. Christy , R. Ent , C. E. Keppel

I use QCD sum rule ideas to construct models for generalized parton distributions. To this end, the perturbative parts of QCD sum rules for the pion and nucleon electromagnetic form factors are interpreted in terms of GPDs and two models…

High Energy Physics - Phenomenology · Physics 2009-09-24 Anatoly Radyushkin

We propose a novel method to determine the strong coupling of quantum chromodynamics (QCD) and fix its running behavior at all scales by using the Bjorken sum rules (BSR). The BSR defines an effective coupling $\alpha^{g_1}_s(Q)$ which…

High Energy Physics - Phenomenology · Physics 2025-01-28 Qing Yu , Xing-Gang Wu , Hua Zhou , Jian-Ming Shen

We present an extension of the QCD sum rule method in the external fields so as to determine the induced pseudoscalar coupling constant g_P, which tests the validity of the partially conserved axial current (PCAC) hypothesis. This is…

Nuclear Theory · Physics 2010-04-19 E. M. Henley , W-Y. P. Hwang , L. S. Kisslinger

Mathematical ambiguities in partial-wave analysis present a significant challenge to the extraction of resonance properties in hadronic reactions. Recent work has shown that while linear photon polarization can resolve continuous…

High Energy Physics - Phenomenology · Physics 2025-09-24 Derek I. Glazier , Vincent Mathieu

Conformal symmetry-based relations between concrete perturbative QED and QCD approximations for the Bjorken, the Ellis-Jaffe sum rules of polarized lepton- nucleon deep-inelastic scattering (DIS), the Gross-Llewellyn Smith sum rules of…

High Energy Physics - Theory · Physics 2015-06-16 A. L. Kataev

We compute the pressure, chiral condensate and strange quark number susceptibility from first principles within perturbative QCD at finite temperature and very high magnetic fields up to next-to-leading order and physical quark masses. The…

High Energy Physics - Phenomenology · Physics 2023-09-15 Eduardo S. Fraga , Letícia F. Palhares , Tulio E. Restrepo

All derivations of the GDH sum rule are presented and discussed in detail, focussing particularly on the validity of the underlying assumptions. Several tests of the sum rule within perturbative models are reviewed. Various possible sources…

High Energy Physics - Phenomenology · Physics 2009-09-25 Ralf Pantfoerder

To leading order approximation, the physical content of generalized parton distributions (GPDs) that is accessible in deep virtual electroproduction of photons or mesons is contained in their value on the cross-over trajectory. This…

High Energy Physics - Phenomenology · Physics 2008-12-18 Kresimir Kumericki , Dieter Mueller , Kornelija Passek-Kumericki

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 have derived the solutions of the relativistic anomalous magnetohydrodynamics with longitudinal Bjorken boost invariance and transverse electromagnetic fields in the presence of temperature or energy density dependent electric…

High Energy Physics - Phenomenology · Physics 2023-05-24 Hao-Hao Peng , Sihao Wu , Ren-jie Wang , Duan She , Shi Pu

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

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

Baiocchi et al. generalized a few years ago a classical theorem of Ingham and Beurling by means of divided differences. The optimality of their assumption has been proven by the third author of this note. The purpose of this note to extend…

Classical Analysis and ODEs · Mathematics 2009-03-20 Alia Barhoumi , Vilmos Komornik , Michel Mehrenberger

We give an overview over recent calculations of baryonic correlator functions with finite mass quarks in view on their applicability for QCD sum rules. The QCD sum rule method is then demonstrated within the Heavy Quark Effective Theory.

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Groote