English
Related papers

Related papers: QCD Sum Rule and Perturbative QCD Approaches to Pi…

200 papers

We calculate the leading twist valence quark distribution in the pion in the franework of QCD sum rules with nonlocal condensates. Particular attention has been paid to the correct account of the bilocal power corrections.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Belitsky

We present a detailed derivation of the two sum rules relating the spin polarizabilities measured in real, virtual, and doubly-virtual Compton scattering. For example, the polarizability $\delta_{LT}$, accessed in inclusive electron…

High Energy Physics - Phenomenology · Physics 2017-04-04 Vadim Lensky , Vladimir Pascalutsa , Marc Vanderhaeghen , Chung Wen Kao

We discuss the end-point behavior of the pion distribution amplitude (DA) and calculate its slope using QCD sum rules with nonlocal condensates. This is done in terms of the standard derivative and also with the help of an "integral…

High Energy Physics - Phenomenology · Physics 2010-11-04 S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

Applications of perturbative QCD to deeply virtual Compton scattering and hard exclusive electroproduction processes require a generalization of the usual parton distributions for the case when long-distance information is accumulated in…

High Energy Physics - Phenomenology · Physics 2016-11-23 A. V. Radyushkin

Double hard scattering can play an important role for producing multiparticle final states in hadron-hadron collisions. The associated cross sections depend on double parton distributions, which at present are only weakly constrained by…

High Energy Physics - Phenomenology · Physics 2019-05-01 Markus Diehl , Peter Ploessl , Andreas Schafer

We deduce momentum sum rules for the parton structure functions of a photon target. Non-perturbative QCD contribution to the momentum sum rules follows from conservation of the energy--momentum tensor and it is calculated through the…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. L. Frankfurt , E. G. Gurvich

We compare and contrast the implications of gauge invariance for the structure of scattering amplitudes in QED and QCD. We derive the most general analogue for QCD of the famous QED rule that the scattering amplitude must be invariant if…

High Energy Physics - Phenomenology · Physics 2011-01-19 Elliot Leader , Enrico Predazzi

We construct three different sum rules from the two-point correlation function with pion, $i\int d^4x e^{iq\cdot x} <0| T J_N(x) {\bar J}_N(0)|\pi(p)>$, beyond the soft-pion limit. The PS and PV coupling schemes in the construction of the…

Nuclear Theory · Physics 2009-10-31 Hungchong Kim , Su Houng Lee , Makoto Oka

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

The basis of renormalon calculus is briefly discussed. The method is applied to study QCD predictions for three sum rules of deep-inelastic scattering, namely for the Gross-Llewellyn Smith, Bjorken polarized and unpolarized sum rules. It is…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. L. Kataev

We compute the Compton scattering off the nucleons in the framework of manifestly covariant baryon chiral perturbation theory (B$\chi$PT). The results for observables differ substantially from the corresponding calculations in heavy-baryon…

Nuclear Theory · Physics 2009-05-26 V. Lensky , V. Pascalutsa

A well known example in quantum electrodynamics (QED) shows that Coulomb scattering of unpolarized electrons, calculated to lowest order in perturbation theory, yields a results that exactly coincides (in the non-relativistic limit) with…

Quantum Physics · Physics 2009-06-11 Gabriela Murguia , Matias Moreno , Manuel Torres

We study the doubly virtual Compton scattering off a spinless target $\gamma^*P\to\gamma^*P'$ within the Anti-de Sitter(AdS)/QCD formalism. We find that the general structure allowed by the Lorentz invariance and gauge invariance of the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Cyrille Marquet , Claude Roiesnel , Samuel Wallon

The earlier introduced method of calculation of quark distributions in hadrons, based on QCD sum rules, is improved. The imaginary part of the virtual photon forward scattering amplitude on some hadronic current is considered in the case,…

High Energy Physics - Phenomenology · Physics 2011-09-13 B. L. Ioffe , A. G. Oganesian

Contents: 1. Introduction. 2. Sum rules prior to QCD. 3. Dispersion relations. 4. Types of two point function sum rules. 5. Non-perturbative power corrections. 6. Some examples of QCD sum rules.

High Energy Physics - Phenomenology · Physics 2016-09-06 Eduardo de Rafael

The determination of twist-4 corrections to the structure functions of polarized $e(\mu)N$ scattering by QCD sum rules is reviewed and critically analyzed. It is found that in the case of the Bjorken sum rule the twist-4 correction is small…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. L. Ioffe

We derive a set of sum rules for threshold parameters of pion-pion scattering whose dispersion integrals are rapidly convergent and are dominated by S- and P-waves absorptive parts. Stringent constraints on some threshold parameters are…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Ananthanarayan , D. Toublan , G. Wanders

A continuum approach to the kaon and pion bound-state problems is used to reveal their electromagnetic structure. For both systems, when used with parton distribution amplitudes appropriate to the scale of the experiment, Standard Model…

Nuclear Theory · Physics 2017-09-06 Fei Gao , Lei Chang , Yu-Xin Liu , Craig D. Roberts , Peter C. Tandy

We discuss some problems concerning the application of perturbative QCD to high energy processes. In particular for hard processes, we analyze higher order and higher twist corrections. It is argued that these effects are of great…

High Energy Physics - Phenomenology · Physics 2009-12-18 A. Efremov , A. Radyushkin

The local-duality formulation of QCD sum rules allows for the prediction of hadronic form factors without knowledge of the subtle details of their structure. With the aid of this formalism, we take a fresh look at the behaviours of the…

High Energy Physics - Phenomenology · Physics 2012-05-31 Irina Balakireva , Wolfgang Lucha , Dmitri Melikhov