Conformal Symmetry as a Template: Commensurate Scale Relations and Physics Renormalization Schemes

Simple item page
dc.creatorBrodsky, Stanley J.
dc.creatorRathsman, Johan
dc.date1999-06-11
dc.date.accessioned2026-07-07T04:07:21Z
dc.date.available2026-07-07T04:07:21Z
dc.descriptionCommensurate scale relations are perturbative QCD predictions which relate observable to observable at fixed relative scale, such as the "generalized Crewther relation", which connects the Bjorken and Gross-Llewellyn Smith deep inelastic scattering sum rules to measurements of the e+ e- annihilation cross section. We show how conformal symmetry provides a template for such QCD predictions, providing relations between observables which are present even in theories which are not scale invariant. All non-conformal effects are absorbed by fixing the ratio of the respective momentum transfer and energy scales. In the case of fixed-point theories, commensurate scale relations relate both the ratio of couplings and the ratio of scales as the fixed point is approached. In the case of the $α_V$ scheme defined from heavy quark interactions, virtual corrections due to fermion pairs are analytically incorporated into the Gell-Mann Low function, thus avoiding the problem of explicitly computing and resumming quark mass corrections related to the running of the coupling. Applications to the decay width of the Z boson, the BFKL pomeron, and virtual photon scattering are discussed.
dc.description27 pages, Talk presented at the Les Rencontres de Physique de la Vallee d'Aoste, La Thuile, Italy, February 28-March 6, 1999
dc.identifierhttps://arxiv.org/abs/hep-ph/9906339
dc.identifierhttp://arxiv.org/abs/hep-ph/9906339
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/49110
dc.subjectHigh Energy Physics - Phenomenology
dc.titleConformal Symmetry as a Template: Commensurate Scale Relations and Physics Renormalization Schemes
dc.typetext

Files

Collections

arXiv