Corrections to the sixth-order anomalous magnetic moment of the muon

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15 February 1979

journal article
research article
Published by American Physical Society (APS) in Physical Review D

Vol. 19 (4) , 1281-1282
https://doi.org/10.1103/physrevd.19.1281

Abstract

The contribution to the sixth-order muon anomaly from fourth-order electron vacuum polarization is determined analytically to order

\frac{m_{e}}{m_{μ}}

. The result including the contribution from graphs containing two second-order lepton vacuum polarization subgraphs is

{(\frac{α}{π})}^{3} {(\frac{2}{9}) \ln^{2} (\frac{m_{μ}}{m_{e}}) + (\frac{403}{108} - \frac{4 π^{2}}{9}) \times \ln (\frac{m_{μ}}{m_{e}}) + \frac{ζ (3)}{2} + \frac{2 π^{2}}{27} + \frac{5}{27} + [\frac{383 π^{2}}{135} - \frac{16 π^{2} \ln (2)}{9} - \frac{13 π^{3}}{18}] \frac{m_{e}}{m_{μ}}}

.

Keywords

This publication has 8 references indexed in Scilit:

Corrections to the sixth-order anomalous magnetic moment of the muon
Physical Review D, 1978
Contribution to the eighth-order anomalous magnetic moment of the muon
Physical Review D, 1977
On the light-by-light contribution to the sixth-order muon anomaly
Physics Letters B, 1977
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Physical Review Letters, 1976
Electron and muon from vacuum polarization insertions
Nuclear Physics B, 1975
A correction to the sixth-order anomalous magnetic moment of the muon
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Calculation of the Sixth-Order Contribution from the Fourth-Order Vacuum Polarization to the Difference of the Anomalous Magnetic Moments of Muon and Electron
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