Asymptotic Padé Approximant Predictions: up to Five Loops in QCD and SQCD

We use Asymptotic Padé Approximants (APAP's) to predict the four- and five-loop \beta-functions in QCD and N=1 supersymmetric QCD (SQCD), as well as the quark mass anomalous dimensions in Abelian and non-Abelian gauge theories. We show how the accuracy of our previous \beta-function predictions...

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Detalles Bibliográficos
Autores principales: Ellis, John R., Jack, I., Jones, D.R.T., Karliner, M., Samuel, M.A.
Lenguaje:eng
Publicado: 1997
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.57.2665
http://cds.cern.ch/record/335844
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author Ellis, John R.
Jack, I.
Jones, D.R.T.
Karliner, M.
Samuel, M.A.
author_facet Ellis, John R.
Jack, I.
Jones, D.R.T.
Karliner, M.
Samuel, M.A.
author_sort Ellis, John R.
collection CERN
description We use Asymptotic Padé Approximants (APAP's) to predict the four- and five-loop \beta-functions in QCD and N=1 supersymmetric QCD (SQCD), as well as the quark mass anomalous dimensions in Abelian and non-Abelian gauge theories. We show how the accuracy of our previous \beta-function predictions at the four-loop level may be further improved by using estimators weighted over negative numbers of flavours (WAPAP's). The accuracy of the improved four-loop results encourages confidence in the new five-loop \beta-function predictions that we present. However, the WAPAP approach does not provide improved results for the anomalous mass dimension, or for Abelian theories.
id cern-335844
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1997
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spelling cern-3358442023-03-14T19:57:16Zdoi:10.1103/PhysRevD.57.2665http://cds.cern.ch/record/335844engEllis, John R.Jack, I.Jones, D.R.T.Karliner, M.Samuel, M.A.Asymptotic Padé Approximant Predictions: up to Five Loops in QCD and SQCDParticle Physics - PhenomenologyWe use Asymptotic Padé Approximants (APAP's) to predict the four- and five-loop \beta-functions in QCD and N=1 supersymmetric QCD (SQCD), as well as the quark mass anomalous dimensions in Abelian and non-Abelian gauge theories. We show how the accuracy of our previous \beta-function predictions at the four-loop level may be further improved by using estimators weighted over negative numbers of flavours (WAPAP's). The accuracy of the improved four-loop results encourages confidence in the new five-loop \beta-function predictions that we present. However, the WAPAP approach does not provide improved results for the anomalous mass dimension, or for Abelian theories.We use Asymptotic Pade Approximants (APAP's) to predict the four- and five-loop \beta-functions in QCD and N=1 supersymmetric QCD (SQCD), as well as the quark mass anomalous dimensions in Abelian and non-Abelian gauge theories. We show how the accuracy of our previous \beta-function predictions at the four-loop level may be further improved by using estimators weighted over negative numbers of flavours (WAPAP's). The accuracy of the improved four-loop results encourages confidence in the new five-loop \beta-function predictions that we present. However, the WAPAP approach does not provide improved results for the anomalous mass dimension, or for Abelian theories.hep-ph/9710302SLAC-PUB-9833CERN-TH-97-267LTH-401TAUP-2462-97-BCERN-TH-97-267LTH-401TAUP-2462-Boai:cds.cern.ch:3358441997-10-10
spellingShingle Particle Physics - Phenomenology
Ellis, John R.
Jack, I.
Jones, D.R.T.
Karliner, M.
Samuel, M.A.
Asymptotic Padé Approximant Predictions: up to Five Loops in QCD and SQCD
title Asymptotic Padé Approximant Predictions: up to Five Loops in QCD and SQCD
title_full Asymptotic Padé Approximant Predictions: up to Five Loops in QCD and SQCD
title_fullStr Asymptotic Padé Approximant Predictions: up to Five Loops in QCD and SQCD
title_full_unstemmed Asymptotic Padé Approximant Predictions: up to Five Loops in QCD and SQCD
title_short Asymptotic Padé Approximant Predictions: up to Five Loops in QCD and SQCD
title_sort asymptotic padé approximant predictions: up to five loops in qcd and sqcd
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevD.57.2665
http://cds.cern.ch/record/335844
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AT jonesdrt asymptoticpadeapproximantpredictionsuptofiveloopsinqcdandsqcd
AT karlinerm asymptoticpadeapproximantpredictionsuptofiveloopsinqcdandsqcd
AT samuelma asymptoticpadeapproximantpredictionsuptofiveloopsinqcdandsqcd

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