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Calculation of lepton magnetic moments in quantum electrodynamics: A justification of the flexible divergence elimination method

Volkov, Sergey 1
1 Institut für Theoretische Physik (ITP), Karlsruher Institut für Technologie (KIT)

Abstract:

The flexible method of reduction to finite integrals, briefly described in earlier publications of the author,
is described in detail. The method is suitable for the calculation of all quantum electrodynamical
contributions to the magnetic moments of leptons. It includes mass-dependent contributions. The method
removes all divergences (UV, IR, and mixed) point-by-point in Feynman parametric space without any usage
of limitlike regularizations. It yields a finite integral for each individual Feynman graph. The subtraction
procedure is based on the use of linear operators applied to the Feynman amplitudes of UV-divergent
subgraphs; a placement of all terms in the same Feynman parametric space is implied. The final result is
simply the sum of the individual graph contributions; no residual renormalization is required. The method
also allows us to split the total contribution into the contributions of small gauge-invariant classes. The
procedure offers a great freedom in the choice of the linear operators. This freedom can be used for
improving the computation speed and for a reliability check. The mechanism of divergence elimination is
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Verlagsausgabe §
DOI: 10.5445/IR/1000169529
Veröffentlicht am 09.04.2024
Originalveröffentlichung
DOI: 10.1103/PhysRevD.109.036012
Scopus
Zitationen: 2
Web of Science
Zitationen: 2
Dimensions
Zitationen: 2
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Theoretische Physik (ITP)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 02.2024
Sprache Englisch
Identifikator ISSN: 2470-0010, 2470-0029
KITopen-ID: 1000169529
Erschienen in Physical Review D
Verlag American Physical Society (APS)
Band 109
Heft 3
Seiten Art.-Nr.: 036012
Vorab online veröffentlicht am 13.02.2024
Nachgewiesen in Dimensions
Web of Science
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