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Il Nuovo Cimento A (1965-1970)

, Volume 6, Issue 3, pp 350–364 | Cite as

Weak-interaction corrections to the anomalous magnetic moments of the leptons

  • C. Jarlskog
Article

Summary

The quadratically divergent contribution of the current-current weak interactions to the anomaly of the leptons is calculated using the Pauli-Villars regularization prescription à la Gupta. This contribution is found not to be zero, contrary to what has been found in the literature. As a by-product of the calculations, formulae for the weak contribution to the energy levels of the leptonic atoms are derived. It is noted incidentally that the neutrino loop exhibits an anomaly similar to that arising in the study of the divergence of the axial vector current.

Поправки слабых вэаимодействий к аномальным магнитным моментам лептонов

Реэюме

Испольэуя процедуру регуляриэации Паули-Вилларса типа а ла Гупта, вычисляется квадратично расходяшийся вклад ток-токовых слабых вэаимодействий в аномалию лептонов. Получается, что зтот вклад не равен нулю, в противоположность тому, что было получено в литетаруре. Как побочный продукт вычислений выводятся формулы для вклада слабых вэаимодействий в знергетические уровни лептонных атомов. В частности, отмечается, что нейтринная петля обнаруживает аномалию, аналогичную аномалии, воэникаюшей при иэучении расходимости аксиального векторного тока.

Riassunto

Per mezzo della prescrizione di regolarizzazione di Pauli e Villars secondo Gupta si calcola il contributo che diverge quadraticamente delle interazioni deboli correntecorrente all’anomalia dei leptoni. Si trova che questo contributo non è nullo, contrariamente a quanto trovato in altri articoli. Come risultato secondario dei calcoli si deducono formule per i contributi deboli ai livelli di energia degli atomi leptonici. Si nota incidentalmente che l’ansa neutrinica presenta un’anomalia simile a quella che sorge nello studio della corrente vettoriale assiale.

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Copyright information

© Società Italiana di Fisica 1971

Authors and Affiliations

  • C. Jarlskog
    • 1
  1. 1.CERNGeneva

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