Intercepts of the non-singlet structure functions

Infrared evolution equations for small-$x$ behaviour of the non-singlet structure functions $f_1^{NS}$ and $g_1^{NS}$ are obtained and solved in the next-to-leading approximation, to all orders in $\alpha_s$, and including running $\alpha_s$ effects. The intercepts of these structure functions, i.e....

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Detalles Bibliográficos
Autores principales: Ermolaev, B.I., Greco, Mario, Troyan, S.I.
Lenguaje:eng
Publicado: 2000
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(00)00647-7
http://cds.cern.ch/record/456851
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author Ermolaev, B.I.
Greco, Mario
Troyan, S.I.
author_facet Ermolaev, B.I.
Greco, Mario
Troyan, S.I.
author_sort Ermolaev, B.I.
collection CERN
description Infrared evolution equations for small-$x$ behaviour of the non-singlet structure functions $f_1^{NS}$ and $g_1^{NS}$ are obtained and solved in the next-to-leading approximation, to all orders in $\alpha_s$, and including running $\alpha_s$ effects. The intercepts of these structure functions, i.e. the exponents of the power-like small-$x$ behaviour, are calculated. A detailed comparison with the leading logarithmic approximation (LLA) and DGLAP is made. We explain why the LLA predictions for the small-$x$ dependence of the structure functions may be more reliable than the prediction for the $Q^2$ dependence in the range of $Q^2$ explored at HERA.
id cern-456851
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
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spelling cern-4568512023-03-14T17:08:54Zdoi:10.1016/S0550-3213(00)00647-7http://cds.cern.ch/record/456851engErmolaev, B.I.Greco, MarioTroyan, S.I.Intercepts of the non-singlet structure functionsParticle Physics - PhenomenologyInfrared evolution equations for small-$x$ behaviour of the non-singlet structure functions $f_1^{NS}$ and $g_1^{NS}$ are obtained and solved in the next-to-leading approximation, to all orders in $\alpha_s$, and including running $\alpha_s$ effects. The intercepts of these structure functions, i.e. the exponents of the power-like small-$x$ behaviour, are calculated. A detailed comparison with the leading logarithmic approximation (LLA) and DGLAP is made. We explain why the LLA predictions for the small-$x$ dependence of the structure functions may be more reliable than the prediction for the $Q^2$ dependence in the range of $Q^2$ explored at HERA.Infrared evolution equations for small-$x$ behaviour of the non-singlet structure functions $f_1^{NS}$ and $g_1^{NS}$ are obtained and solved in the next-to-leading approximation, to all orders in $\alpha_s$, and including running $\alpha_s$ effects. The intercepts of these structure functions, i.e. the exponents of the power-like small-$x$ behaviour, are calculated. A detailed comparison with the leading logarithmic approximation (LLA) and DGLAP is made. We explain why the LLA predictions for the small-$x$ dependence of the structure functions may be more reliable than the prediction for the $Q^2$ dependence in the range of $Q^2$ explored at HERA.hep-ph/0009037CERN-TH-2000-263CERN-TH-2000-263oai:cds.cern.ch:4568512000-09-04
spellingShingle Particle Physics - Phenomenology
Ermolaev, B.I.
Greco, Mario
Troyan, S.I.
Intercepts of the non-singlet structure functions
title Intercepts of the non-singlet structure functions
title_full Intercepts of the non-singlet structure functions
title_fullStr Intercepts of the non-singlet structure functions
title_full_unstemmed Intercepts of the non-singlet structure functions
title_short Intercepts of the non-singlet structure functions
title_sort intercepts of the non-singlet structure functions
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/S0550-3213(00)00647-7
http://cds.cern.ch/record/456851
work_keys_str_mv AT ermolaevbi interceptsofthenonsingletstructurefunctions
AT grecomario interceptsofthenonsingletstructurefunctions
AT troyansi interceptsofthenonsingletstructurefunctions

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