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Related papers: Twist-4 contribution to unpolarized structure func…

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We study the twist-4 contribution to the unpolarized nucleon structure functions, F_L and F_2, in an approach where the vacuum structure of QCD is described by a dilute medium of instantons ($\bar\rho / \bar R \ll 1$). The dominant power…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Dressler , M. Maul , C. Weiss

We review the description of nucleon structure functions in the instanton vacuum. This includes the calculation of the twist-2 parton distributions at a low normalization point as well as higher-twist matrix elements. The instanton vacuum…

High Energy Physics - Phenomenology · Physics 2011-04-15 M. V. Polyakov , C. Weiss

We compute the nucleon matrix elements of QCD operators of twist 3 and 4 in the instanton vacuum. We consider the operators determining 1/Q^2-power corrections to the Bjorken, Ellis-Jaffe and Gross-Llewellyn-Smith sum rules. The nucleon is…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Balla , M. V. Polyakov , C. Weiss

The spin-dependent twist-3 and 4 nucleon matrix elements d^(2) and f^(2) describing power corrections to the Bjorken and Ellis-Jaffe sum rules are computed in the instanton vacuum. A systematic expansion in the small packing fraction of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Balla , M. V. Polyakov , C. Weiss

We estimate the twist-4 spin-1 nucleon matrix element f_2 in an instanton-based description of the QCD vacuum. In addition to the flavor-nonsinglet we compute also the flavor-singlet matrix element, which appears in next-to-leading order of…

High Energy Physics - Phenomenology · Physics 2014-11-17 Nam-Young Lee , K. Goeke , C. Weiss

The spontaneous breaking of chiral symmetry implies the presence of a short-distance scale in the QCD vacuum, which phenomenologically may be associated with the "size" of the constituent quark, rho ~ 0.3 fm. We discuss the role of this…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. V. Sidorov , C. Weiss

We discuss the implications of a "constituent quark" structure of the nucleon for the leading (1/Q^2-) power corrections to the spin structure functions. Our basic assumption is the presence of quark-gluon correlations in the nucleon wave…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. V. Sidorov , C. Weiss

The instanton vacuum picture is used to study hadronic matrix elements of the twist-3 (dimension-4, spin-1) QCD operators measuring the quark spin density and spin-orbit correlations. The QCD operators are converted to effective operators…

High Energy Physics - Phenomenology · Physics 2023-10-27 June-Young Kim , Christian Weiss

We calculate twist--4 coefficient functions for the deep inelastic structure function $F_2(x,Q^2)$ associated to 4--gluon operator matrix elements for general values of the Bjorken variable $x$ and study the numerical effect on the slope…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Blümlein , V. Ravindran , J. Ruan , W. Zhu

To resolve various outstanding issues associated with the twist four longitudinal structure function ${F_L^{\tau=4}(x)}$ we perform an analysis based on the BJL expansion for the forward virtual photon-hadron Compton scattering amplitude…

High Energy Physics - Phenomenology · Physics 2010-11-19 A. Harindranath , Rajen Kundu , Asmita Mukherjee , James P. Vary

We analyse the recent precision measurements of the lepton-hadron deep inelastic scattering at CERN and SLAC to extract model independent constraints among the nucleon matrix elements of the twist-4 operators. We also study a…

High Energy Physics - Phenomenology · Physics 2009-10-22 S. Choi , T. Hatsuda , Y. Koike , Su H. Lee

It is known that the trace anomaly in the QCD energy-momentum tensor $T^{\mu \nu}$ can be attributed to the anomalies for each of the gauge-invariant quark part and gluon part of $T^{\mu \nu}$, and their explicit three-loop formulas have…

High Energy Physics - Phenomenology · Physics 2023-03-22 Kazuhiro Tanaka

The instanton vacuum provides an effective description of chiral symmetry breaking by local topological fluctuations of the gauge fields, as observed in lattice QCD simulations. The resulting effective dynamics at momenta below $1/\bar\rho…

High Energy Physics - Phenomenology · Physics 2025-03-18 Christian Weiss

Nucleon matrix elements of various four-quark operators are evaluated in quenched lattice QCD using Wilson fermions. Some of these operators give rise to twist-four contributions to nucleon structure functions. Furthermore, they bear…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , B. Klaus , D. Pleiter , P. E. L. Rakow , S. Schaefer , A. Schäfer , G. Schierholz

In this thesis, we have investigated the higher twist structure functions in the recently developed method based on light-front Hamiltonian QCD. Because of various special properties of light-front QCD, this is a more intuitive approach…

High Energy Physics - Phenomenology · Physics 2007-05-23 Asmita Mukherjee

We investigate the gravitational form factors (GFFs) of the nucleon and the baryon octet, decomposed into their flavor components, utilizing a pion mean-field approach grounded in the large $N_c$ limit of Quantum Chromodynamics (QCD). Our…

High Energy Physics - Phenomenology · Physics 2024-04-16 Ho-Yeon Won , Hyun-Chul Kim , June-Young Kim

Direct measurements of the the structure functions F_1^{nu p} and F_1^{nu n} at a neutrino factory would allow for an accurate extraction of alpha_s from the Q^2-dependence of the Bjorken sum rule, complementing that based on the…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Weiss

The pion form factors of the QCD energy-momentum tensor (EMT) are studied in the instanton liquid model (ILM) of the QCD vacuum. In this approach the breaking of conformal symmetry is encoded in the form of stronger-than-Poisson…

High Energy Physics - Phenomenology · Physics 2024-10-16 Wei-Yang Liu , Edward Shuryak , Christian Weiss , Ismail Zahed

We present results for the one loop anomalous dimension matrix of flavor non-singlet twist-4 operators of lowest spin that contribute to the leading moment of the $F_2$ structure function in deep inelastic electron-nucleon scattering. We…

High Energy Physics - Phenomenology · Physics 2013-08-22 Michael J. Glatzmaier , Sonny Mantry , Michael J. Ramsey-Musolf

We show that the instanton model of the QCD vacuum indicates the parametric smallness of the twist-3 contributions to the polarized structure function h_L. This smallness is related to the diluteness of the QCD instanton vacuum.

High Energy Physics - Phenomenology · Physics 2009-10-31 B. Dressler , M. V. Polyakov
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