English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The flexible method of reduction to finite integrals, briefly described inearlier publications of the author, is described in detail. The method issuitable for the calculation of all quantum electrodynamical contributions tothe magnetic moments of leptons. It includes mass-dependent contributions. Themethod removes all divergences (UV, IR and mixed) point-by-point in Feynmanparametric space without any usage of limit-like regularizations. It yields afinite integral for each individual Feynman graph. The subtraction procedure isbased on the use of linear operators applied to the Feynman amplitudes ofUV-divergent subgraphs; a placement of all terms in the same Feynman parametricspace is implied. The final result is simply the sum of the individual graphcontributions; no residual renormalization is required. The method also allowsus to split the total contribution into the contributions of smallgauge-invariant classes. The procedure offers a great freedom in the choice ofthe linear operators. This freedom can be used for improving the computationspeed and for a reliability check. The mechanism of divergence elimination isexplained, as well as the equivalence of the method and the on-shellrenormalization. For illustrative purposes, all 4-loop contributions to theanomalous magnetic moments of the electron and muon are given for each smallgauge-invariant class, as well as their comparison with previously knownresults. This also includes the contributions that depend on the ratios of thetau-lepton mass to the electron and muon mass.

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