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The analysis of nonperturbative effects in high energy asymptotics of the electomagnetic quark form factor is presented. It is shown that the nonperturbative effects determine the initial value for the perturbative evolution of the quark…

High Energy Physics - Phenomenology · Physics 2009-11-10 Igor O. Cherednikov

It is shown that intrinsic orbital motion of the valence quarks has large influences on the spin-dependent as well as the spin-averaged nucleon structure functions. Its connection with the observed ``very small contribution of quark spin to…

High Energy Physics - Phenomenology · Physics 2015-06-25 Liang Zuo-tang , R. Rittel

We present a detailed investigation of the spacelike pion's electromagnetic form factor using three-point QCD sum rules that exclusively involve nonlocal condensates. Our main methodological tools are a spectral density which includes…

High Energy Physics - Phenomenology · Physics 2009-06-25 A. P. Bakulev , A. V. Pimikov , N. G. Stefanis

We present a new perturbative approach to QCD based on the use of quark composites with hadronic quantum numbers as fundamental variables. We apply it to the case of the nucleons by performing a nonlinear change of variables in the Berezin…

High Energy Physics - Theory · Physics 2009-10-31 G. De Franceschi , F. Palumbo

A straightforward calculation reveals the essentially nonlocal character of the leading heavy $Q\bar{Q}$ interaction arising from nonperturbative gluon field correlations in the model of a fluctuating QCD vacuum. In light of this quarkonium…

High Energy Physics - Phenomenology · Physics 2014-11-17 K. Williams

We develop a formalism to evaluate the Sivers function. The approach is well suited for calculations which use constituent quark models to describe the structure of the nucleon. A non-relativistic reduction of the scheme is performed and…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Courtoy , F. Fratini , S. Scopetta , V. Vento

We calculate the spectral function of light quark flavours in 2+1 flavour vacuum QCD in the isospin-symmetric approximation. We employ spectral Dyson-Schwinger equations and compute the non-perturbative quark propagator directly in…

High Energy Physics - Phenomenology · Physics 2023-10-11 Jan Horak , Jan M. Pawlowski , Nicolas Wink

The possibility of the first measurement of Bjorken unpolarized sum rule for $F_1$ structure function of $\nu N$ deep-inelastic scattering at Neutrino Factories is commented. The brief summary of various theoretical contributions to this…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. I. Alekhin , A. L. Kataev

The notion of a non-perturbative effect is ambiguous if it requires the subtraction of a perturbative part defined by a diverging series. A common procedure consists in dropping the order of minimal contribution and the higher orders. This…

High Energy Physics - Lattice · Physics 2011-04-12 A. Denbleyker , D. Du , Y. Meurice , M. Naides

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

QCD sum rules are used to calculate the $q^2$ dependence of the $\pi NN$ coupling $g_{\pi NN} (q^2)$ in the spacelike region $0.5 \ {\mbox{GeV}}^2 \lesssim q^2 \lesssim 1.5\ {\mbox{GeV}}^2$. We study the Borel sum rule for the three point…

Nuclear Theory · Physics 2008-11-26 Thomas Meissner

We review the basic aspects of the perturbative QCD based on the operator product expansion to analyze the nucleon structure functions in a pedagogical way. We explain the non-trivial relation between the QCD results and the parton model…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. Kodaira

In QCD both the quark and ghost propagators are important for governing the non-perturbative dynamics of the theory. It turns out that the dynamical properties of the quark and ghost fields impose non-perturbative constraints on the…

High Energy Physics - Theory · Physics 2018-09-20 Peter Lowdon

Generalized parton distributions (GPDs) are studied at the hadronic (nonperturbative) scale within different assumptions based on a relativistic constituent quark model. In particular, by means of a meson-cloud model we investigate the role…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Pasquini , M. Traini , S. Boffi

Quark mass effects are clarified in the parton model approach to the transversely polarized nucleon structure function. The special propagator technique is employed to obtain manifestly gauge invariant results and extract the buried…

High Energy Physics - Phenomenology · Physics 2009-10-30 Kwei-Chou Yang , Hoi-Lai Yu

QCD sum rules for the nucleon are considered in complex q^2 plane with inclusion of the radiative corrections of the order alpha_s. It is shown that the radiative corrections affect mainly the residue lambda^2 of the nucleon pole. Their…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. A. Sadovnikova , E. G. Drukarev , M. G. Ryskin

We analyse the data for the proton structure function $F_2$ over the entire $Q^2$ domain, including especially low $Q^2$, in terms of perturbative and non-perturbative QCD contributions. The small distance configurations are given by…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. D. Martin , M. G. Ryskin , A. Stasto

We calculate the contribution from nonlocal vacuum condensates of quark fields to the hadronic part of the photon structure function $F_2(x)$ in the operator product expansion approach to QCD. The result is a smooth function of $x$ and its…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. P. Bakulev , S. V. Mikhailov

We obtain the electromagnetic form factors of the nucleon, in the space-like region, using three-point function Finite Energy QCD Sum Rules. The QCD calculation is performed to leading order in perturbation theory in the chiral limit, and…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Castillo , C. A. Dominguez , M. Loewe

We perform a perturbative QCD analysis of the nucleon's Pauli form factor $F_2(Q^2)$ in the asymptotically large $Q^2$ limit. We find that the leading contribution to $F_2(Q^2)$ has a $1/Q^6$ power behavior, consistent with the well-known…

High Energy Physics - Phenomenology · Physics 2009-11-07 Andrei V. Belitsky , Xiangdong Ji , Feng Yuan