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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

We propose an extraction of the running coupling constant of QCD in the infrared region from experimental data on deep inelastic inclusive scattering at Bjorken x -> 1. We first attempt a perturbative fit of the data that extends NLO PQCD…

High Energy Physics - Phenomenology · Physics 2015-05-30 Simonetta Liuti

Solving the QCD renormalization group equation at the 2-loop and 3-loop orders we obtain explicit expressions for the coupling as a function of the scale in terms of the Lambert W function. We study the nature of the ``Landau…

High Energy Physics - Phenomenology · Physics 2010-02-03 Einan Gardi , Georges Grunberg , Marek Karliner

The gluon polarization $\Delta G$ in a nucleon can be defined in a gauge invariant way as the integral over the Ioffe-time distribution of polarized gluons. We argue that for sufficiently regular polarized gluon distributions $\Delta G$ is…

High Energy Physics - Phenomenology · Physics 2009-10-30 L. Mankiewicz , G. Piller , A. Saalfeld

We discuss application of the physical QCD effective charge $\alpha_V$, defined via the heavy-quark potential, in perturbative calculations at next-to-leading order. When coupled with the Brodsky-Lepage-Mackenzie prescription for fixing the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Binger , Chueng-Ryong Ji , David G. Robertson

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 use the BLM method to show that perturbatively-calculable observables in QCD can be related to each other without renormalization scale or scheme ambiguity. We define and study the commensurate scale relations. We show that the…

High Energy Physics - Phenomenology · Physics 2009-09-25 Stanley J. Brodsky , Hung Jung Lu

We compute the nonsinglet Adler $D$-function and the coefficient function for Bjorken polarized sum rules $S^{Bjp}$ at order $O(\alpha_s^4)$ in an extended QCD model with arbitrary number of fermion representations. The…

High Energy Physics - Phenomenology · Physics 2022-06-28 K. , G. Chetyrkin

The light-front holographic mapping of classical gravity in AdS space, modified by a positive-sign dilaton background, leads to a nonperturbative effective coupling $\alpha_s^{AdS}(Q^2)$. It agrees with hadron physics data extracted from…

High Energy Physics - Phenomenology · Physics 2014-11-20 Stanley J. Brodsky , Guy F. de Téramond , Alexandre Deur

A phenomenological parameterization of the proton polarized structure function has been developed for x > 0.02 using deep inelastic data up to ~ 50 (GeV/c)**2 as well as available experimental results on both photo- and electro-production…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Simula , M. Osipenko , G. Ricco , M. Taiuti

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

Deep inelastic scattering data on $F_2$ structure function obtained in the fixed-target experiments were analysed in the valence quark approximation with a next-to-next-to-leading-order accuracy. Parton distribution functions are…

High Energy Physics - Phenomenology · Physics 2017-12-19 A. V. Kotikov , V. G. Krivokhizhin , B. G. Shaikhatdenov

The small-$x$ contributions to the Bjorken sum rule within double logarithmic $ln^2x$ approximation for different input parametrisations $g_1^{NS}(x,Q_0^2)$ are presented. Analytical solutions of the evolution equations for full and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dorota Kotlorz , Andrzej Kotlorz

Based on a solution of DGLAP evolution equations at small values of Bjorken variable x, a simple analytic approximation for so-called linearly polarized gluon density \tilde{h}_1^{\perp g}(x,k_t^2, Q^2) is obtained at LO of perturbation…

High Energy Physics - Phenomenology · Physics 2023-10-13 N. A. Abdulov , X. Chen , A. V. Kotikov , A. V. Lipatov

2-point correlators of vector and axial currents, obtained from tau-decay data, are studied within the framework of perturbative QCD and Operator Product Expansion. Various sum rules, obtained from Borel transformation of the correlators in…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. N. Zyablyuk

We consider a new form of analytical perturbation theory expansion in the massless $SU(N_c)$ theory, for the non-singlet part of the $e^+e^-$-annihilation to hadrons Adler function $D^{ns}$ and of the Bjorken sum rule of the polarized…

High Energy Physics - Phenomenology · Physics 2016-07-13 Gorazd Cvetič , A. L. Kataev

We extract an effective strong coupling constant using low-Q^2 data and sum rules. Its behavior is established over the full Q^2-range and is compared to calculations based on lattice QCD, Schwinger-Dyson equations and a quark model.…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. Deur

We employ analytic QCD (anQCD) approach to analyze the unpolarized nucleon structure function (NSF) in deep inelastic scattering ( DIS ) processes at the next-to-leading order (NLO) accuracy. Considering the unreliable results of underlying…

High Energy Physics - Phenomenology · Physics 2021-10-13 L. Ghasemzadeh , A. Mirjalili , S. Atashbar Tehrani

We propose a conjecture about the detailed structure of the conformal symmetry breaking term in the generalized Crewther relation. We conclude that this conjecture leads to new relations between the QCD expansion coefficients of the Adler…

High Energy Physics - Phenomenology · Physics 2011-03-10 A. L. Kataev , S. V. Mikhailov

We unify two widely different approaches to understanding the infrared behaviour of quantum chromodynamics (QCD), one essentially phenomenological, based on data, and the other computational, realised via quantum field equations in the…

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