Fixed point structure of Pade-summation approximations to the QCD beta-function

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dc.creatorElias, V.
dc.creatorChishtie, F.
dc.creatorSteele, T. G.
dc.date1998-09-21
dc.date1998-09-28
dc.date.accessioned2026-07-07T04:05:07Z
dc.date.available2026-07-07T04:05:07Z
dc.descriptionPadé-improvement of four-loop beta-functions in massive phi^4 scalar field theory is shown to predict the known five-loop contribution with astonishing (0.2%) accuracy, supporting the applicability of Pade-summations for approximating all-orders MS-bar QCD beta-functions, as suggested by Ellis, Karliner, and Samuel. Surprisingly, the most general set of [2|2] approximants consistent with known two-, three-, and four-loop contributions to the QCD beta-function with up to six flavours fail to exhibit any zeros that could be interpreted as positive infrared fixed points, regardless of the unknown five-loop term. When they occur, positive zeros of such [2|2] approximants are preceded by singularities, leading to a double-valued beta-function that is decoupled entirely from the infrared region, similar to the beta-function of SUSY gluodynamics.
dc.description4 pages, 3 figures, latex (requires ltwol.sty and psfig.sty), to appear in proceedings of ICHEP '98. Additional references included
dc.identifierhttps://arxiv.org/abs/hep-ph/9809471
dc.identifierhttp://arxiv.org/abs/hep-ph/9809471
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/48298
dc.subjectHigh Energy Physics - Phenomenology
dc.titleFixed point structure of Pade-summation approximations to the QCD beta-function
dc.typetext

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