Determination of the anomalous dimension of gluonic operators in deep inelastic scattering at O(1/N_f)

dc.creatorBennett, J. F.
dc.creatorGracey, J. A.
dc.date1997-10-15
dc.date.accessioned2026-07-07T10:52:41Z
dc.date.available2026-07-07T10:52:41Z
dc.descriptionUsing large N_f methods we compute the anomalous dimension of the predominantly gluonic flavour singlet twist-2 composite operator which arises in the operator product expansion used in deep inelastic scattering. We obtain a d-dimensional expression for it which depends on the operator moment n. Its expansion in powers of epsilon = (4-d)/2 agrees with the explicit exact three loop MSbar results available for n less than or equal to 8 and allows us to determine some new information on the explicit n-dependence of the three and higher order coefficients. In particular the n-dependence of the three loop anomalous dimension gamma_{gg}(a) is determined in the C_2(G) sector at O(1/N_f).
dc.description26 latex pages, 7 postscript figures
dc.identifierhttps://arxiv.org/abs/hep-ph/9710364
dc.identifierhttp://arxiv.org/abs/hep-ph/9710364
dc.identifierNucl.Phys.B517:241-268,1998
dc.identifierdoi:10.1016/S0550-3213(98)00021-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185237
dc.subjectHigh Energy Physics - Phenomenology
dc.titleDetermination of the anomalous dimension of gluonic operators in deep inelastic scattering at O(1/N_f)
dc.typetext

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