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Il Nuovo Cimento A (1965-1970)

, Volume 64, Issue 2, pp 322–324 | Cite as

On sixth-order radiative corrections to the muong-factor

  • B. E. Lautrup
  • E. de Rafael
Article

Summary

The contribution to the anomalous magnetic moment of the muon from the Feynman diagrams shown in Fig. 1 is found to be
$$\left( {\frac{\alpha }{\pi }} \right)^3 \left\{ {\left( {\frac{{119}}{{27}} - \frac{4}{9}\pi ^2 } \right)\log \left( {\frac{{m_\mu }}{{m_e }}} \right) - \frac{{61}}{{162}} + \frac{1}{{27}}\pi ^2 + 0\left[ {\left( {\frac{{m_e }}{{m_\mu }}} \right)^2 } \right]} \right\}.$$

Keywords

Theoretical Physic Constant Term Feynman Diagram Radiative Correction Total Contribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

О радиационных поправках шестого порядка кg-фактору мюона

Резюме

Получено, что вклад в аномальный магнитный момент мюона от фейнмановских диаграмм, изображенных на рис. 1, составляет:
$$\left( {\frac{\alpha }{\pi }} \right)^3 \left\{ {\left( {\frac{{119}}{{27}} - \frac{4}{9}\pi ^2 } \right)\log \left( {\frac{{m_\mu }}{{m_e }}} \right) - \frac{{61}}{{162}} + \frac{1}{{27}}\pi ^2 + 0\left[ {\left( {\frac{{m_e }}{{m_\mu }}} \right)^2 } \right]} \right\}.$$

Riassunto

Si trova che il contributo al momento magnetico anomalo del muone dai diagrammi di Feynman rappresentati in Fig. 1 è
$$\left( {\frac{\alpha }{\pi }} \right)^3 \left\{ {\left( {\frac{{119}}{{27}} - \frac{4}{9}\pi ^2 } \right)\log \left( {\frac{{m_\mu }}{{m_e }}} \right) - \frac{{61}}{{162}} + \frac{1}{{27}}\pi ^2 + 0\left[ {\left( {\frac{{m_e }}{{m_\mu }}} \right)^2 } \right]} \right\}.$$

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Footenotes

  1. (1).
    R. Karplus andN. M. Kroll:Phys. Rev.,77, 536 (1950).ADSCrossRefGoogle Scholar
  2. (2).
    For a review of the fourth-order contributions to the anomalous magnetic moments of the electron and of the muon, see:A. Petermann:Fortschr. Phys.,6, 505 (1958).CrossRefGoogle Scholar
  3. (3).
    T. Kinoshita:Nuovo Cimento,51 B, 140 (1967).CrossRefGoogle Scholar
  4. (4).
    T. Kinoshita:The anomalous magnetic moment of the muon, inLectures Given at the Summer School of Theoretical Physics, Cargèse, 1967, edited byM. Lévy (New York, 1968).Google Scholar
  5. (5).
    The constant terms of the fourth-order electron-positron vacuum polarization corrections to the second-order contribution to 1/2(g μ−2) have been calculated byLautrup andDe Rafael:B. E. Lautrup andE. de Rafael:Phys. Rev.,174, 1835 (1968).ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica 1969

Authors and Affiliations

  • B. E. Lautrup
    • 1
  • E. de Rafael
    • 2
  1. 1.Brookhaven National LaboratoryUpton
  2. 2.CERNGeneva

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