Tenthorder electron anomalous magnetic moment: Contribution of diagrams without closed lepton loops
Abstract
This paper presents a detailed account of the evaluation of the electron anomalous magnetic moment a_{e} which arises from a gaugeinvariant set, called Set V, consisting of 6354 tenthorder Feynman diagrams without closed lepton loops. The latest value of the sum of Set V diagrams evaluated by the Monte Carlo integration routine VEGAS is 8.726 (336 )(α /π )^{5} , which replaces the very preliminary value reported in 2012. Combining it with 6318 previously published tenthorder diagrams, we obtain 7.795 (336 )(α /π )^{5} as the complete massindependent tenthorder term. Together with the improved value of the eighthorder term this leads to a_{e}(theory)=1 159 652 181.643 (25 )(23 )(16 )(763 )×1 0^{12} , where the first three uncertainties are from the eighthorder, tenthorder, and hadronic and elecroweak terms. The fourth and largest uncertainty is from α^{1}=137.035 999 049 (90 ) , the finestructure constant derived from the rubidium recoil measurement. Thus, a_{e}(experiment)a_{e}(theory)=0.91 (0.82 )×1 0^{12} . Assuming the validity of the standard model, we obtain the finestructure constant α^{1}(a_{e})=137.035 999 1570 (29 )(27 )(18 )(331 ) , where uncertainties are from the eighthorder, tenthorder, and hadronic and electroweak terms, and the measurement of a_{e}. This is the most precise value of α available at present and provides a stringent constraint on possible theories beyond the standard model.
 Publication:

Physical Review D
 Pub Date:
 February 2015
 DOI:
 10.1103/PhysRevD.91.033006
 arXiv:
 arXiv:1412.8284
 Bibcode:
 2015PhRvD..91c3006A
 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:
 54 pages, 2 figures