scholarly journals Conformal symmetry limit of QED and QCD and identities between perturbative contributions to deep-inelastic scattering sum rules

2014 ◽  
Vol 2014 (2) ◽  
Author(s):  
A.L. Kataev
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Sum Rules ◽  
Conformal Symmetry ◽  
Symmetry Limit

SOME RELATIONS INVOLVING NEUTRAL AND CHARGED CURRENT STRUCTURE FUNCTIONS

1990 ◽  
Vol 05 (06) ◽  
pp. 433-438
Author(s):  
MUJAHID KAMRAN
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Lower Limit ◽  
Sum Rules ◽  
Structure Functions ◽  
Charged Current ◽  
Current Structure

Several relations involving neutral and charged current structure functions in [Formula: see text] deep inelastic scattering are obtained. These include sum rules and inequalities. An estimate of [Formula: see text] and a lower limit on [Formula: see text] is given.

PARTON DISTRIBUTIONS IN THE NUCLEON AND THE PAULI PRINCIPLE

1993 ◽  
Vol 08 (03) ◽  
pp. 225-231 ◽  
Author(s):  
FRANCO BUCCELLA ◽  
JACQUES SOFFER
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Sum Rules ◽  
Pauli Principle ◽  
Scattering Data ◽  
Parton Distributions ◽  
Sum Rule ◽  
Bjorken Sum Rule ◽  
Deep Inelastic Scattering Data

The Pauli principle is used, together with some deep inelastic scattering data, to guide us in making reasonable assumptions for various polarized parton distributions in terms of unpolarized distributions. We relate the violation of the Gottfried and Ellis-Jaffe sum rules and we anticipate a substantial violation of the Bjorken sum rule.

scholarly journals ESTIMATES OF THE HIGHER ORDER QCD CORRECTIONS TO R(s), Rτ AND DEEP INELASTIC SCATTERING SUM RULES

1995 ◽  
Vol 10 (03) ◽  
pp. 235-250 ◽  
Author(s):  
ANDREI L. KATAEV ◽  
VALERY V. STARSHENKO
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Sum Rules ◽  
Higher Order ◽  
Analytical Continuation ◽  
Sum Rule ◽  
Euclidean Region ◽  
Effective Charges ◽  
Physical Quantities ◽  
Perturbative Corrections

We present the attempt to study the problem of the estimates of higher order perturbative corrections to physical quantities in the Euclidean region. Our considerations are based on the application of the scheme-invariant methods, namely the principle of minimal sensitivity and the effective charges approach. We emphasize that in order to obtain the concrete results for the physical quantities in the Minkowskian region the results of application of this formalism should be supplemented by the explicit calculations of the effects of the analytical continuation. We present the estimates of the order [Formula: see text] QCD corrections to the Euclidean quantities: the e+e−-annihilation D-function and the deep inelastic scattering sum rules, namely the nonpolarized and polarized Bjorken sum rules and to the Gross–Llewellyn Smith sum rule. The results for the D-function are further applied to estimate the [Formula: see text] QCD corrections to the Minkowskian quantities R(s) = σ tot (e+e− → hadrons )/σ(e+e− → µ+µ−) and [Formula: see text]. The problem of the fixation of the uncertainties due to the [Formula: see text] corrections to the considered quantities is also discussed.

scholarly journals DEEP INELASTIC SUM RULES AT THE BOUNDARIES BETWEEN PERTURBATIVE AND NONPERTURBATIVE QCD

2005 ◽  
Vol 20 (27) ◽  
pp. 2007-2022 ◽  
Author(s):  
A. L. KATAEV
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Sum Rules ◽  
A Posteriori ◽  
Nonperturbative Qcd ◽  
Physical Quantities

The basis of renormalon calculus is briefly discussed. This method is applied to study the QCD predictions for three different sum rules of deep-inelastic scattering, namely for the Gross–Llewellyn Smith, Bjorken polarized and unpolarized sum rules. It is shown that the renormalon structures of these a posteriori different physical quantities are closely related. These properties give us the hint that theoretical expressions of these three sum rules are similar both in the perturbative and nonperturbative sectors. Some phenomenological consequences of the new relations are discussed.

ON A RELATIVISTIC DESCRIPTION OF THE DEEP INELASTIC SCATTERING ON THE DEUTERON

1995 ◽  
Vol 10 (02) ◽  
pp. 91-102 ◽  
Author(s):  
A. YU. UMNIKOV ◽  
F. C. KHANNA
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Operator Product Expansion ◽  
Sum Rules ◽  
Expansion Method ◽  
Baryon Number ◽  
Operator Product ◽  
Normalization Condition ◽  
Relativistic Description ◽  
Covariant Field

The deep inelastic scattering on deuteron is considered in a fully covariant field theoretical approach. All calculations are performed within the Bethe–Salpeter formalism and the operator product expansion method. We obtain the explicit form of the nucleon contribution and mesonic exchange corrections to the deuteron structure function [Formula: see text]. The sum rules for the baryon number and energy-momentum of the deuteron are derived using the normalization condition of the Bethe–Salpeter amplitude and the virial theorem of field theory.

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