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The simultaneous QCD analysis of the $xF_3$ structure functions measured in deep-inelastic scattering by several collaborations is done up to 3--loop order of QCD. The x dependence of the higher--twist contribution is evaluated and turns…

High Energy Physics - Phenomenology · Physics 2011-04-15 A. V. Sidorov

Anomalous dimensions of leading-twist operators in QCD play an important role in precision predictions for high-energy processes, since they govern the scale evolution of parton distributions. Their analytic structure as a function of spin…

High Energy Physics - Theory · Physics 2026-02-17 Alexander N. Manashov , Sven-Olaf Moch , Leonid A. Shumilov

We present predictions for rho-meson form factors obtained from the analysis of QCD sum rules in next-to-leading order of perturbation theory. The radiative corrections turn out to be sizeable and should be taken into account in rigorous…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. V. Braguta , A. I. Onishchenko

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

We describe a procedure to determine moments of parton distribution functions of any order in lattice quantum chromodynamics (QCD). The procedure is based on the gradient flow for fermion and gauge fields. The flowed matrix elements of…

High Energy Physics - Lattice · Physics 2024-10-03 Andrea Shindler

We present the Feynman rules for leading-twist gauge-invariant quark and gluon operators with an arbitrary number of total derivatives and applicable to any order in perturbation theory. This generalizes previous results and constitutes a…

High Energy Physics - Phenomenology · Physics 2024-08-05 G. Somogyi , S. Van Thurenhout

We calculate the nucleon parameters in nuclear matter using the QCD sum rules method. The radiative corrections to the leading operator product expansion terms are included, with the corrections of the order \alpha_s beyond the logarithmic…

Nuclear Theory · Physics 2009-10-29 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova

The $O(1/m_Q)$ corrections to masses of excited heavy mesons are studied with sum rules in the heavy quark effective theory. Numerical results for the matrix elements of the heavy quark kinetic energy operator K and chromomagnetic…

High Energy Physics - Phenomenology · Physics 2009-10-30 Yuan-ben Dai , Chao-shang Huang , Ming-qiu Huang

We present a QCD analysis of the twist-three parton distribution functions associated with the spin-orbit correlation of quarks and gluons in spin-$\frac{1}{2}$ and spin-0 hadrons. We derive exact non-perturbative identities decomposing the…

High Energy Physics - Phenomenology · Physics 2024-08-21 Yoshitaka Hatta , Jakob Schoenleber

We provide a complete set of supersymmetric constraints for the anomalous dimensions of the conformal twist-two operators to all orders of perturbation theory. Employing them we derive new relations between the exclusive evolution kernels…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , D. Müller

The semileptonic decay B -> pi l nu is one of the most important reactions for the determination of the CKM matrix element |V_{ub}|. However, in order to extract |V_{ub}| from data one needs an accurate theoretical calculation of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefan Weinzierl , Oleg Yakovlev

Using collinear factorization, we have calculated twist-six corrections to $\eta\gamma$ and $\eta^{\prime}\gamma$ transition form factors in QCD. Only a sub-set of light-cone operators of twist-six which can be factorized as a product of…

High Energy Physics - Phenomenology · Physics 2018-12-05 Janardan P. Singh , Shesha D. Patel

Explicit diagrammatic calculation of evolution equations for high-twist correlation functions is a challenge already at one-loop order in QCD coupling. The main complication being quite involved mixing pattern of the so-called…

High Energy Physics - Phenomenology · Physics 2015-06-23 Yao Ji , A. V. Belitsky

We derive constraints on the asymmetry a1 of the momentum fractions carried by quark and antiquark in K and K* mesons in leading twist. These constraints follow from exact operator identities and relate a1 to SU(3) breaking…

High Energy Physics - Phenomenology · Physics 2009-11-11 Patricia Ball , Roman Zwicky

Conformal symmetry of QCD is restored at the Wilson-Fisher critical point in noninteger $4-2\epsilon$ space-time dimensions. Correlation functions of multiplicatively renormalizable operators with different anomalous dimensions at the…

High Energy Physics - Phenomenology · Physics 2022-09-07 V. M. Braun , K. G. Chetyrkin , A. N. Manashov

A comprehensive study is made for the magnetic moments of octet baryons in the method of QCD sum rules. A complete set of QCD sum rules is derived using the external field method and generalized interpolating fields. For each member, three…

High Energy Physics - Phenomenology · Physics 2008-11-26 Lai Wang , Frank X. Lee

Precision measurements on nucleons provide constraints on the Standard Model and can also discern the signatures predicted for particles beyond the Standard Model. Knowing the Standard Model inputs to nucleon matrix elements will be…

High Energy Physics - Lattice · Physics 2011-12-13 Huey-Wen Lin

The importance of the nonlinear corrections on the momentum sum rule is investigated on the initial scale $Q_{0}^2$. Nonlinear corrections are found to play an indispensable role in the singlet and gluon momentum sum rule in the high-order…

High Energy Physics - Phenomenology · Physics 2024-08-20 G. R. Boroun

The twist 2 and twist 3 contributions of the polarized deep-inelastic structure functions are calculated both for neutral and charged current interactions using the operator product expansion in lowest order in QCD. The relations between…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Blümlein , N. Kochelev

In this paper we study QCD and power corrections to sum rules which show up in deep inelastic lepton-hadron scattering. Furthermore we will make a distinction between fundamental sum rules which can be derived from quantum field theory and…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Ravindran , W. L. van Neerven