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The \alpha_s^2 correction to the Ellis-Jaffe sum rule for the structure function g_1 of polarized deep inelastic lepton-nucleon scattering is calculated.

High Energy Physics - Phenomenology · Physics 2009-10-28 S. A. Larin

The procedure of the estimates of the higher-order perturbative QCD corrections to the physical quantities is generalized to the case when the quantities under consideration obey the renormalization group equationts with the corresponding…

High Energy Physics - Phenomenology · Physics 2010-01-06 A. L. Kataev

We present the method of numerical optimization for the perturbative series using the renormalization group in quantum chromodynamics. We apply our approach to the perturbation series in $\alpha_s$ for the coefficient function…

High Energy Physics - Phenomenology · Physics 2019-09-19 D. Kotlorz , S. V. Mikhailov

Measurements of the structure function xF3(gamma-Z) are now becoming available in charged lepton deep inelastic scattering at HERA. The correction factors which are necessary to compare these with measurements of xF3(nu N) in…

High Energy Physics - Experiment · Physics 2007-05-23 E. Rizvi , T. Sloan

We clarify conflicting results in the literature on coefficient functions in front of higher twist operators contributing to the parton sum rules for deep inelastic scattering from polarized targets. The necessary corrections do not affect…

High Energy Physics - Phenomenology · Physics 2009-10-22 I. I. Balitsky , V. M. Braun , A. V. Kolesnichenko

The prospects for a determination of the strong coupling constant $\alpha_s$ via scaling violations of fragmentation functions in deeply inelastic scattering are studied. The statistical error in the case of an integrated luminosity of $250…

High Energy Physics - Phenomenology · Physics 2016-09-06 Dirk Graudenz

It is shown that the existing four-loop result for the Bjorken polarized sum rule for deep inelastic electron-nucleon scattering obtained within perturbative Quantum Chromodynamics should be supplemented by the calculation of the diagrams…

High Energy Physics - Phenomenology · Physics 2015-06-15 S. A. Larin

New data on polarized $\mu-p$ and $e-p$ scattering permit a first determination of $\alpha_s$ using the Bjorken sum rule, as well as higher precision in determining the nucleon spin decomposition. Using perturbative QCD calculations to…

High Energy Physics - Phenomenology · Physics 2009-09-25 John Ellis , Marek Karliner

The $O(\alpha)$ leptonic QED corrections to neutral current polarized deep inelastic lepton-nucleon scattering are calculated in leptonic variables both for the case of longitudinal and transverse nucleon polarization. The results of the…

High Energy Physics - Phenomenology · Physics 2009-10-30 D. Bardin , J. Blümlein , P. Christova , L. Kalinovskaya

We present an improved determination of the proton structure functions $F_{2}$ and $xF_{3}$ from the CCFR $\nu $-Fe deep inelastic scattering (DIS) experiment. Comparisons to high-statistics charged-lepton scattering results for $F_{2}$…

High Energy Physics - Experiment · Physics 2008-11-26 CCFR Collaboration , W. Seligman

We compute the coefficient function for the charge-averaged W^(+/-)-exchange structure function F_3 in deep-inelastic scattering (DIS) to the third order in massless perturbative QCD. Our new three-loop contribution to this quantity forms,…

High Energy Physics - Phenomenology · Physics 2010-04-05 S. Moch , J. Vermaseren , A. Vogt

By using a relativistic framework and accurate nuclear spectral functions we evaluate the ratio F_{3A}/AF_{3N} of deep inelastic neutrino scattering. Parametrizations of this ratio for different values of Q^2 are provided. These results…

Nuclear Theory · Physics 2007-05-23 E. Marco , E. Oset , S. K. Singh

We report on progress in the calculation of 3-loop corrections to the deep-inelastic structure functions from massive quarks in the asymptotic region of large momentum transfer $Q^2$. Recently completed results allow us to obtain the…

We report the value of $\alpha_{\rm s}$ obtained from QCD analysis of existing data on deep-inelastic scattering of charged leptons off proton and deuterium and estimate its theoretical uncertainties with particular attention paid to impact…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Alekhin

We compute the full three-loop coefficient functions for the structure functions F_2 and F_L in massless perturbative QCD. The results for F_L complete the next-to-next-to-leading order description of unpolarized electromagnetic…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. A. M. Vermaseren , A. Vogt , S. Moch

The $O(\alpha^2\log(Q^2/m_e^2))$ leptonic QED corrections to unpolarized deeply inelastic electron-nucleon scattering are calculated in the mixed variables.

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , H. Kawamura

The contribution of the radiative tail from the quasielastic peak to low order radiative correction to deep inelastic scattering of polarized leptons by polarized $^3$He was calculated within the sum rules formalism and $y$-scaling…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. Akushevich , D. Ryckbosch , N. Shumeiko , A. Tolkachev

We extract parton distribution functions (PDFs) and structure functions from recent experimental data of polarized lepton-DIS on nucleons at next-to-leading order (NLO) Quantum Chromodynamics. We apply the Jacobi polynomial method to the…

High Energy Physics - Phenomenology · Physics 2011-03-22 Ali N. Khorramian , S. Atashbar Tehrani , S. Taheri Monfared , F. Arbabifar , F. I. Olness

We determine polarized parton distribution functions (PPDFs) and structure functions from recent experimental data of polarized deep inelastic scattering (DIS) on nuleons at next-to-next-to-leading order (NNLO) approximation in perturbative…

High Energy Physics - Phenomenology · Physics 2017-12-01 Hamzeh Khanpour , S. Taheri Monfared , S. Atashbar Tehrani

We present an explicit OPE analysis for the first moment of $g_1$ up to order $M^2/Q^2$. This result allows to calculate power corrections to the Bjorken and Ellis--Jaffe sum rules.

High Energy Physics - Phenomenology · Physics 2009-10-22 B. Ehrnsperger , L. Mankiewicz , A. Schäfer
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