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Related papers: QCD Sum Rule Analysis of Leading Twist Non-Singlet…

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We explore a modification of QCD sum rules where, instead of Borel transforms of current correlators, one considers the correlators in coordinate space as functions of Euclidean time. Taking the nucleon channel as an example, we derive such…

High Energy Physics - Phenomenology · Physics 2026-05-06 A. V. Smilga

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

We review the recent progress in the applications of QCD sum rules to hadron properties with the emphasis on the following selected problems: (i) development of new algorithms for the extraction of ground-state parameters from two-point…

High Energy Physics - Phenomenology · Physics 2016-01-26 Dmitri Melikhov

We consider diagonal and non-diagonal QCD sum rules for the ground state heavy baryons to leading order in $1/m_Q$ and at next-to-leading order in $\alpha_S$. In the non-diagonal case we evaluate the eight different two-loop diagrams which…

High Energy Physics - Phenomenology · Physics 2016-08-25 S. Groote , J. G. Körner , O. I. Yakovlev

I give a short review of the relation of infrared renormalons in QCD and higher twist effects, with the emphasis on possible applications. In particular, I present estimates of renormalon-induced uncertainties in deep inelastic sum rules…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. M. Braun

Mixings of 4-quark components in the non-singlet scalar mesons are studied in the QCD sum rules. We propose a formulation to evaluate the cross correlators of q\bar q and qq\bar q \bar q operators and to define the mixings of different Fock…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Sugiyama , T. Nakamura , N. Ishii , T. Nishikawa , M. Oka

QCD sum rules for decuplet baryon two-point functions are investigated using a comprehensive Monte-Carlo based procedure. In this procedure, all uncertainties in the QCD input parameters are incorporated simultaneously, resulting in…

High Energy Physics - Phenomenology · Physics 2009-09-25 Frank X. Lee

Dispersive sum rules constitute long-standing tools for extracting hadron features from QCD. We estimate the systematic uncertainties induced by assuming quark-hadron duality and improve the accuracy of the resulting predictions by…

High Energy Physics - Phenomenology · Physics 2015-03-19 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Contents: 1. The sum rules or $\Gamma_{p,n}$.Theoretical status. 2. Calculations of matrix elements over the polarized nucleon by the QCD sum rule approach. 3. Twist-4 corrections to $\Gamma_{p,n}$ from QCD sum rules. 4. Gerasimov,…

High Energy Physics - Phenomenology · Physics 2009-09-25 B. L. Ioffe

We discuss nonperturbative QCD evolution of nonsinglet nucleon structure functions, with particular application to the Gottfried sum. We show that the coupling of the quark partons to bound state mesons leads to nonperturbative…

High Energy Physics - Phenomenology · Physics 2014-11-17 Richard Ball , Stefano Forte

The short-time regime of QCD two-point correlation functions is examined through a QCD-Sum-Rule-inspired continuum model. QCD Sum Rule techniques are tested and alternate nucleon interpolating fields are discussed. The techniques presented…

High Energy Physics - Lattice · Physics 2009-10-22 Derek B. Leinweber

New QCD sum rules for the nucleon axial-vector current coupling constants are derived. One set is derived from a generalized correlator of spin-1/2 interpolating fields, and the other with a mixed correlator of spin-1/2 and spin-3/2 fields.…

Nuclear Theory · Physics 2007-05-23 Frank X. Lee , Derek B. Leinweber , Xuemin Jin

The pion-baryon sigma terms and the strange-quark condensates of the octet and the decuplet baryons are calculated by employing the method of quantum chromodynamics (QCD) sum rules. We evaluate the vacuum-to-vacuum transition matrix…

High Energy Physics - Phenomenology · Physics 2010-04-21 G. Erkol , M. Oka , G. Turan

The concept of QCD sum rules is extended to bound states composed of particles with finite mass such as scalar quarks or strange quarks. It turns out that mass corrections become important in this context. The number of relevant corrections…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Meyer-Hermann , A. Schäfer , W. Greiner

The sum rules serve a powerful tool to study the nucleon structure by providing a bridge between the statical properties of the nucleon (such as electrical charge, and magnetic moment) and the dynamical properties (e.g. the transition…

High Energy Physics - Phenomenology · Physics 2010-03-02 M. Gorchtein , D. Drechsel , M. M. Giannini , E. Santopinto

An introduction to the method of QCD sum rules is given for those who want to learn how to use this method. Furthermore, we discuss various applications of sum rules, from the determination of quark masses to the calculation of hadronic…

High Energy Physics - Phenomenology · Physics 2016-11-23 Pietro Colangelo , Alexander Khodjamirian

The light scalar nonets are studied using the QCD sum rules for the tetraquark operators. The operator product expansion for the correlators is calculated up to dimension 12 and this enables us to perform analyses retaining sufficient…

High Energy Physics - Phenomenology · Physics 2008-11-26 Toru Kojo , Daisuke Jido

We discuss the general method of the calculation of the nucleon matrix elements of an operator associated with nonvalence quarks. The method is based on the QCD sum rules and low energy theorems. As an application of these considerations,…

High Energy Physics - Phenomenology · Physics 2011-04-15 Ariel R. Zhitnitsky

We derive QCD sum rules from the nucleon two-point function in nuclear medium, calculating its specral function in chiral perturbation theory to one loop. Our calculation shows the inadequacy of the commonly used ansatz to represent the…

Nuclear Theory · Physics 2007-05-23 S. Mallik , Hiranmaya Mishra

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