The αS3 approximation of quantum chromodynamics to the Ellis-Jaffe sum rule

Larin, S.A.; Ritbergen, T. van; Vermaseren, J. A. M.

doi:10.1016/s0370-2693(97)00534-0

Cited by 78 publications

(53 citation statements)

References 46 publications

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“…We note that the non-singlet part of the Ellis-Jaffe sum rule [69]- [72] and [62] gives the same scale as the former Bjorken sum rule, the Gross-Llewellyn Smith sum rule [73,64,61,62] the same scale as the latter.…”

Section: Known Seriesmentioning

confidence: 73%

Scale setting forαsbeyond leading order

2003

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We present a general procedure for incorporating higher-order information into the scale-setting prescription of Brodsky, Lepage and Mackenzie. In particular, we show how to apply this prescription when the leading coefficient or coefficients in a series in the strong coupling αs are anomalously small and the original prescription can give an unphysical scale. We give a general method for computing an optimum scale numerically, within dimensional regularization, and in cases when the coefficients of a series are known. We apply it to the heavy quark mass and energy renormalization in lattice NRQCD, and to a variety of known series. Among the latter, we find significant corrections to the scales for the ratio of e + e − to hadrons over muons, the ratio of the quark pole to MS mass, the semi-leptonic B-meson decay width, and the top decay width. Scales for the latter two decay widths, expressed in terms of MS masses, increase by factors of five and thirteen, respectively, substantially reducing the size of radiative corrections.

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Section: Known Seriesmentioning

confidence: 73%

Scale setting forαsbeyond leading order

2003

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“…The α 3 s corrections to these sum rules were calculated in Ref. [82]. The Ellis-Jaffe sum rules are not as fundamental as the Bjorken sum rule since they are derived based on a model-dependent assumption that strange quarks do not contribute to the asymmetry.…”

Section: Ellis-jaffe Sum Rulementioning

confidence: 99%

Target mass corrections and higher twist effects in polarized deep-inelastic scattering

2014

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We perform a next-to-leading-order QCD analysis to world data on polarized structure functions g1 and g2 in a fixed-flavor number scheme. We include target mass corrections and higher twist effects in our fitting procedure and study their non-negligible effects on physically interesting quantities. Twist-3 contributions to both polarized structure functions are determined, and the accuracy of the extracted polarized parton distribution functions is improved. 3 He and 3 H polarized structure functions are described based on our fit result. Moreover, sum rules are derived and compared with available theoretical and experimental results.

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“…have been calculated in perturbative QCD up to the third order in α s (Q 2 ) [5]. From the COMPASS result of Eq.…”

Section: N Smentioning

confidence: 99%

COMPASS Results on the Strange Quark Polarisation

Santos¹

2009

Proceedings of the XVII International Workshop on Deep-Inelastic Scattering and Related Topics

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A main topic of investigation at the COMPASS experiment is the spin structure of the nucleon. This article reports on the experimental procedure to measure the polarisation of the strange quarks in polarised deep inelastic scattering, both in inclusive and semiinclusive reactions. The dependence of the results for the strange quark polarisation on the fragmentation functions is discussed. Experimental ProcedureCOMPASS makes use of the CERN-SPS facilities, impinging a high intensity 160 GeV muon beam on a 6 LiD polarised target. The detailed description of the spectrometer can be found at Ref. 1 , has to be evaluated. In the framework of the quark parton model this quantity can be directly related to the quark polarisation, ∆q, viawhere the arrows indicate the relative beam and target spin orientations. Events are selected by cuts on the four-momentum transfer squared, Q 2 > 1 (GeV/c) 2 , and the fractional energy of the virtual photon, 0.1 < y < 0.9. After data selection, 89×10 6 events are distributed over 15 bins of the Bjorken scaling varible, in the range 0.004 < x < 0.7. The left panel of Fig.

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The αS3 approximation of quantum chromodynamics to the Ellis-Jaffe sum rule

Abstract: We present the analytical calculation in perturbative Quantum Chromodynamics of the α 3 s contribution to the Ellis-Jaffe sum rule for the structure function g 1 of polarized deep inelastic lepton-nucleon scattering.

Cited by 78 publications

References 46 publications

Scale setting forαsbeyond leading order

Scale setting forαsbeyond leading order

Target mass corrections and higher twist effects in polarized deep-inelastic scattering

COMPASS Results on the Strange Quark Polarisation

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