Tenthorder QED lepton anomalous magnetic moment: Eighthorder vertices containing a secondorder vacuum polarization
Abstract
This paper reports the evaluation of the tenthorder QED contribution to the lepton g2 from the gaugeinvariant set of 2072 Feynman diagrams, called Set IV, which are obtained by inserting a secondorder lepton vacuumpolarization loop into 518 eighthorder vertex diagrams of fourphoton exchange type. The numerical evaluation is carried out by the adaptiveiterative Monte Carlo integration routine vegas using the fortran codes written by the automatic codegenerating algorithm gencodeN. Some of the numerical results are confirmed by comparison with the values of corresponding integrals that have been obtained previously by a different method. The result for the massindependent contribution of the Set IV to the electron g2 is 7.7296(48)(α/π)^{5}. There is also a small massdependent contribution to the electron g2 due to the muon loop: 0.01136(7)(α/π)^{5}. The contribution of the taulepton loop is 0.0000937(104)(α/π)^{5}. The sum of all these contributions to the electron g2 is 7.7407(49)(α/π)^{5}. The same set of diagrams enables us to evaluate the contributions to the muon g2 from the electron loop, muon loop, and taulepton loop. They add up to 46.95(17)(α/π)^{5}.
 Publication:

Physical Review D
 Pub Date:
 February 2012
 DOI:
 10.1103/PhysRevD.85.033007
 arXiv:
 arXiv:1110.2826
 Bibcode:
 2012PhRvD..85c3007A
 Keywords:

 13.40.Em;
 06.20.Jr;
 12.20.Ds;
 14.60.Cd;
 Electric and magnetic moments;
 Determination of fundamental constants;
 Specific calculations;
 Electrons;
 High Energy Physics  Phenomenology
 EPrint:
 35 pages, 2 figures