Resummation in QCD Fractional Analytic Perturbation Theory
We describe the generalization of Analytic Perturbation Theory (APT) for QCD observables, initiated by Radyushkin, Krasnikov, Pivovarov, Shirkov, and Solovtsov, to fractional powers of coupling — Fractional APT (FAPT). The basic aspects of FAPT are shortly summarized. We describe how to treat heavy-...
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| Datum: | 2010 |
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| Format: | Artikel |
| Sprache: | English |
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Відділення фізики і астрономії НАН України
2010
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| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/13281 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Resummation in QCD Fractional Analytic Perturbation Theory / A.P. Bakulev // Укр. фіз. журн. — 2010. — Т. 55, № 1. — С. 15-19. — Бібліогр.: 18 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We describe the generalization of Analytic Perturbation Theory (APT) for QCD observables, initiated by Radyushkin, Krasnikov, Pivovarov, Shirkov, and Solovtsov, to fractional powers of coupling — Fractional APT (FAPT). The basic aspects of FAPT are shortly summarized. We describe how to treat heavy-quark thresholds in FAPT and then show how to resum perturbative series in both the one-loop APT and FAPT. As an application, we consider the FAPT description of the Higgs boson decay Hº → bb¯. The main conclusion is: To achieve an accuracy of the order of 1%, it is enough to consider up to the third correction. |
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