Perturbative expansion of the QCD Adler function improved by renormalization-group summation and analytic continuation in the Borel plane

Kód výsledku v IS VaVaI

RIV/68378271:_____/13:00432818 - isvavai.cz

Výsledek na webu

http://dx.doi.org/10.1103/PhysRevD.87.014008

DOI - Digital Object Identifier

10.1103/PhysRevD.87.014008

Jazyk výsledku

angličtina

Název v původním jazyce

Perturbative expansion of the QCD Adler function improved by renormalization-group summation and analytic continuation in the Borel plane

Popis výsledku v původním jazyce

We examine the large-order behavior of a recently proposed renormalization-group-improved expansion of the Adler function in perturbative QCD, which sums in an analytically closed form the leading logarithms accessible from renormalization-group invariance. The expansion is first written as an effective series in powers of the one-loop coupling, and its leading singularities in the Borel plane are shown to be identical to those of the standard "contour-improved'' expansion. Applying the technique of conformal mappings for the analytic continuation in the Borel plane, we define a class of improved expansions, which implement both the renormalization-group invariance and the knowledge about the large-order behavior of the series. Detailed numerical studies of specific models for the Adler function indicate that the new expansions have remarkable convergence properties up to high orders.

Název v anglickém jazyce

Perturbative expansion of the QCD Adler function improved by renormalization-group summation and analytic continuation in the Borel plane

Popis výsledku anglicky

We examine the large-order behavior of a recently proposed renormalization-group-improved expansion of the Adler function in perturbative QCD, which sums in an analytically closed form the leading logarithms accessible from renormalization-group invariance. The expansion is first written as an effective series in powers of the one-loop coupling, and its leading singularities in the Borel plane are shown to be identical to those of the standard "contour-improved'' expansion. Applying the technique of conformal mappings for the analytic continuation in the Borel plane, we define a class of improved expansions, which implement both the renormalization-group invariance and the knowledge about the large-order behavior of the series. Detailed numerical studies of specific models for the Adler function indicate that the new expansions have remarkable convergence properties up to high orders.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

LG13031: Spolupráce ČR s CERN

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review D: Particles, Fields, Gravitation and Cosmology

ISSN

1550-7998

e-ISSN

—

Svazek periodika

87

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

14

Strana od-do

"014008-1"-"014008-14"

Kód UT WoS článku

000313160400002

EID výsledku v databázi Scopus

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