Quantum electrodynamics calculation of lepton anomalous magnetic moments: Numerical approach to the perturbation theory of QED

In this review, we summarize the results of our numerical work carried out over nearly ten years on the complete determination of the 10th-order contribution to the anomalous magnetic moments of leptons in the perturbation theory of quantum electrodynamics. Our approach is based on a reorganized ren...

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Published inProgress of theoretical and experimental physics Vol. 2012; no. 1
Main Authors Aoyama, Tatsumi, Hayakawa, Masashi, Kinoshita, Toichiro, Nio, Makiko
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 01.01.2012
Online AccessGet full text
ISSN2050-3911
2050-3911
DOI10.1093/ptep/pts030

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Abstract In this review, we summarize the results of our numerical work carried out over nearly ten years on the complete determination of the 10th-order contribution to the anomalous magnetic moments of leptons in the perturbation theory of quantum electrodynamics. Our approach is based on a reorganized renormalization method in which no divergent quantities appear explicitly in any part of the calculation, which is crucial for the feasibility of numerical integration. The enormous number of 10th-order diagrams and the complexity of the renormalization procedure are such that we could not have handled this problem without the development of an automated code-generating algorithm. The systematic approach to these problems is described in some detail.
AbstractList In this review, we summarize the results of our numerical work carried out over nearly ten years on the complete determination of the 10th-order contribution to the anomalous magnetic moments of leptons in the perturbation theory of quantum electrodynamics. Our approach is based on a reorganized renormalization method in which no divergent quantities appear explicitly in any part of the calculation, which is crucial for the feasibility of numerical integration. The enormous number of 10th-order diagrams and the complexity of the renormalization procedure are such that we could not have handled this problem without the development of an automated code-generating algorithm. The systematic approach to these problems is described in some detail.
Author Kinoshita, Toichiro
Aoyama, Tatsumi
Hayakawa, Masashi
Nio, Makiko
Author_xml – sequence: 1
  givenname: Tatsumi
  surname: Aoyama
  fullname: Aoyama, Tatsumi
  email: nio@riken.jp
  organization: 1Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMI), Nagoya University, Nagoya 464-8602, Japan
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  givenname: Masashi
  surname: Hayakawa
  fullname: Hayakawa, Masashi
  email: nio@riken.jp
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  givenname: Toichiro
  surname: Kinoshita
  fullname: Kinoshita, Toichiro
  email: nio@riken.jp
  organization: 2Nishina Center, RIKEN, Wako, Saitama 351-0198, Japan
– sequence: 4
  givenname: Makiko
  surname: Nio
  fullname: Nio, Makiko
  email: nio@riken.jp
  organization: 2Nishina Center, RIKEN, Wako, Saitama 351-0198, Japan
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Title Quantum electrodynamics calculation of lepton anomalous magnetic moments: Numerical approach to the perturbation theory of QED
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