Expansion functions in perturbative QCD and the determination of ?s(M?2)
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F11%3A00375194" target="_blank" >RIV/68378271:_____/11:00375194 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevD.84.054019" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.84.054019</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.84.054019" target="_blank" >10.1103/PhysRevD.84.054019</a>
Alternative languages
Result language
angličtina
Original language name
Expansion functions in perturbative QCD and the determination of ?s(M?2)
Original language description
The conventional series in powers of the coupling in perturbative QCD have zero radius of convergence and fail to repreduce the singularity of the QCD correlators like the Adler function at /alpha_s=0. Using the technique of conformal mapping of the Borel plane combined with the "softening" of the leading singularities, we define the set of new expansion functions which resemble the expanded correlator and share the same singularity at zero coupling. Several conformal mappings and ways of implementing the known nature of the first branch points of the Adler function in the Borel plane are investigated both in the CIPT and in the FOPT versions of the renormalization group resummation. We prove remarkable convergence properties of a set of new CI expansions and use them to determine the strong coupling from the hadronic tau decay width.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BF - Elementary particle theory and high energy physics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/LA08015" target="_blank" >LA08015: Collaboration of the Czech Republic with CERN</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D: Particles, Fields, Gravitation and Cosmology
ISSN
1550-7998
e-ISSN
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Volume of the periodical
84
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
"054019/1"-"054019/15"
UT code for WoS article
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EID of the result in the Scopus database
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