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Determination of $\alpha_{s}$ and the nucleon spin decomposition using recent polarized structure function data

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 O(\alpha_s^4) for the non-singlet combination of structure functions,...

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Detalles Bibliográficos
Autores principales: Ellis, John R., Karliner, Marek
Lenguaje:eng
Publicado: 1995
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(95)80021-O
http://cds.cern.ch/record/266018
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author Ellis, John R.
Karliner, Marek
author_facet Ellis, John R.
Karliner, Marek
author_sort Ellis, John R.
collection CERN
description 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 O(\alpha_s^4) for the non-singlet combination of structure functions, we find \alpha_s(2.5 GeV^2) = 0.375^{+0.062}_{-0.081}, corresponding to \alpha_s(M_Z^2) =0.122^{+0.005}_{-0.009}, and using calculations to O(\alpha_s^3) for the singlet combination we find \Delta u = 0.83 \pm 0.03, \Delta d= -0.43 \pm 0.03, \Delta s =-0.10 \pm 0.03, \Delta \Sigma \equiv \Delta u + \Delta d + \Ds = 0.31 \pm 0.07, at a renormalization scale Q^2=10 GeV^2. Perturbative QCD corrections play an essential role in reconciling the interpretations of data taken using different targets. We discuss higher-twist uncertainties in these determinations. The \Delta q determinations are used to update predictions for the couplings of massive Cold Dark Matter particles and axions to nucleons.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1995
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spelling cern-2660182021-07-15T17:43:12Zdoi:10.1016/0370-2693(95)80021-Ohttp://cds.cern.ch/record/266018engEllis, John R.Karliner, MarekDetermination of $\alpha_{s}$ and the nucleon spin decomposition using recent polarized structure function dataParticle Physics - PhenomenologyNew 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 O(\alpha_s^4) for the non-singlet combination of structure functions, we find \alpha_s(2.5 GeV^2) = 0.375^{+0.062}_{-0.081}, corresponding to \alpha_s(M_Z^2) =0.122^{+0.005}_{-0.009}, and using calculations to O(\alpha_s^3) for the singlet combination we find \Delta u = 0.83 \pm 0.03, \Delta d= -0.43 \pm 0.03, \Delta s =-0.10 \pm 0.03, \Delta \Sigma \equiv \Delta u + \Delta d + \Ds = 0.31 \pm 0.07, at a renormalization scale Q^2=10 GeV^2. Perturbative QCD corrections play an essential role in reconciling the interpretations of data taken using different targets. We discuss higher-twist uncertainties in these determinations. The \Delta q determinations are used to update predictions for the couplings of massive Cold Dark Matter particles and axions to nucleons.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 $O(\alpha_s~4)$ for the non-singlet combination of structure functions, we find $\alpha_s(2.5 GeV~2) = 0.375~{+0.062}_{-0.081}$, corresponding to $\alpha_s(M_Z~2) =0.122~{+0.005}_{-0.009}$, and using calculations to $O(\alpha_s~3)$ for the singlet combination we find $\Delta u = 0.83 \pm 0.03$, $\Delta d= -0.43 \pm 0.03$, $\Delta s =-0.10 \pm 0.03$, $\Delta \Sigma \equiv \Delta u + \Delta d + \Ds = 0.31 \pm 0.07$, at a renormalization scale $Q~2=10 GeV~2$. Perturbative QCD corrections play an essential role in reconciling the interpretations of data taken using different targets. We discuss higher-twist uncertainties in these determinations. The $\Delta q$ determinations are used to update predictions for the couplings of massive Cold Dark Matter particles and axions to nucleons.New data on polarized μ − p and e − p scattering permit a first determination of α s using the Bjorken sum rule, as well as higher precision in determining the nucleon spin decomposition. Using perturbative QCD calculations to for the non-singlet combination of structure functions, we find α s (2.5 GeV 2 ) = 0.375 −0.081 +0.062 , corresponding to α s ( M Z 2 ) = 0.122 −0.009 +0.005 , and using calculations to for the singlet combination we find Δu = 0.83 ± 0.03, Δd = −0.43 ± 0.03, Δs = −0.10±0.03, ΔΣ  Δu + Δd + Δs = 0.31 ± 0.07, at a renormalization scale Q 2 = 10 GeV 2 . Perturbative QCD corrections play an essential role in reconciling the interpretations of data taken using different targets. We discuss systematic uncertainties in the above numbers, which are dominated by higher-twist effects and lead, we estimate, to α s ( M Z 2 ) = 0.118 −0.014 +0.007 . The Δ q determinations are used to update predictions for the couplings of massive Cold Dark Matter particles and axions to nucleons.hep-ph/9407287CERN-TH-7324-94TAUP-2178-94CERN-TH-7324-94TAUP-2178oai:cds.cern.ch:2660181995
spellingShingle Particle Physics - Phenomenology
Ellis, John R.
Karliner, Marek
Determination of $\alpha_{s}$ and the nucleon spin decomposition using recent polarized structure function data
title Determination of $\alpha_{s}$ and the nucleon spin decomposition using recent polarized structure function data
title_full Determination of $\alpha_{s}$ and the nucleon spin decomposition using recent polarized structure function data
title_fullStr Determination of $\alpha_{s}$ and the nucleon spin decomposition using recent polarized structure function data
title_full_unstemmed Determination of $\alpha_{s}$ and the nucleon spin decomposition using recent polarized structure function data
title_short Determination of $\alpha_{s}$ and the nucleon spin decomposition using recent polarized structure function data
title_sort determination of $\alpha_{s}$ and the nucleon spin decomposition using recent polarized structure function data
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/0370-2693(95)80021-O
http://cds.cern.ch/record/266018
work_keys_str_mv AT ellisjohnr determinationofalphasandthenucleonspindecompositionusingrecentpolarizedstructurefunctiondata
AT karlinermarek determinationofalphasandthenucleonspindecompositionusingrecentpolarizedstructurefunctiondata