Automated Calculation Scheme for alpha^n Contributions of QED to Lepton g-2: New Treatment of Infrared Divergence for Diagrams without Lepton Loops

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dc.creatorAoyama, T.
dc.creatorHayakawa, M.
dc.creatorKinoshita, T.
dc.creatorNio, M.
dc.date2007-09-11
dc.date.accessioned2026-07-07T11:19:16Z
dc.date.available2026-07-07T11:19:16Z
dc.descriptionWe have developed an efficient algorithm for the subtraction of infrared divergences that arise in the evaluation of QED corrections to the anomalous magnetic moment of lepton (g-2). By incorporating this new algorithm, we have extended the automated code-generating system developed previously to deal with diagrams without internal lepton loops (called q-type), which produced convergent integrals when applied to diagrams that have only ultraviolet-divergent subdiagrams of vertex type. The new system produces finite integrals for all q-type diagrams, including those that contain self-energy subdiagrams and thus exhibit infrared-divergent behavior. We have thus far verified the system for the sixth- and eighth-order cases. We are now evaluating 6354 vertex diagrams of q-type that contribute to the tenth-order lepton g-2.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/0709.1568
dc.identifierhttp://arxiv.org/abs/0709.1568
dc.identifierNucl.Phys.B796:184-210,2008
dc.identifierdoi:10.1016/j.nuclphysb.2007.12.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193627
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleAutomated Calculation Scheme for alpha^n Contributions of QED to Lepton g-2: New Treatment of Infrared Divergence for Diagrams without Lepton Loops
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