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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,...
Autores principales: | , |
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Lenguaje: | eng |
Publicado: |
1995
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Acceso en línea: | https://dx.doi.org/10.1016/0370-2693(95)80021-O http://cds.cern.ch/record/266018 |
_version_ | 1780886661261950976 |
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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. |
id | cern-266018 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1995 |
record_format | invenio |
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 |