An Interdisciplinary Journal

* 2018, Vol.21, No.4, pp.395 - 400*

We consider a contribution to the anomalous magnetic moment of the muon from the
specific class of Feynman diagrams involving the lowest order vacuum polarization by muon
loops. We have obtained analytical expressions for the corresponding coefficients for 4, 5,
6 and 7 loops. The effect of reducing large terms in the obtained analytical expressions is
discussed. We have found that if for a small number of muon pairs the coefficients at the *α/π*
degrees determining the contribution of these diagrams to the anomalous magnetic moment
of the muon decrease, then starting with the contribution of 7 muon loops these coefficients
begin to grow. The reasons for this behavior change are discussed. Numerical results are
given for a large number of muon loops with a high accuracy.

*Key words: *
anomalous magnetic moment, vacuum polarization, muon loops

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Last updated: *December 28, 2018*