Electron contribution to the muon anomalous magnetic moment at four loops

作     者：Alexander Kurz Tao Liu Peter Marquard Alexander V. Smirnov Vladimir A. Smirnov Matthias Steinhauser 

作者机构：Institut für Theoretische Teilchenphysik Karlsruhe Institute of Technology (KIT) 76128 Karlsruhe Germany Deutsches Elektronen Synchrotron DESY Platanenallee 6 15738 Zeuthen Germany Department of Physics University of Alberta Edmonton Alberta T6G 2J1 Canada Scientific Research Computing Center Moscow State University 119991 Moscow Russia Skobeltsyn Institute of Nuclear Physics of Moscow State University 119991 Moscow Russia Institut für Mathematik und Institut für Physik Humboldt-Universität zu Berlin 12489 Berlin Germany 

出 版 物：《Physical Review D》 (物理学评论D辑：粒子、场、重力与宇宙学)

年 卷 期：2016年第93卷第5期

页      面：053017-053017页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：FIESTA Alexander von Humboldt-Stiftung Seventh Framework Programme, FP7, (316704) Seventh Framework Programme, FP7 European Commission, EC, (PITN-GA-2012-316704) European Commission, EC Moscow State University of Geodesy and Cartography, MIIGAiK 

主　　题：Electroweak radiative corrections Magnetic moment Quantum electrodynamics 

摘      要：We present results for the QED contributions to the anomalous magnetic moment of the muon containing closed electron loops. The main focus is on perturbative corrections at four-loop order where the external photon couples to the external muon. Furthermore, all four-loop contributions involving simultaneously a closed electron and tau loop are computed. In combination with our recent results on the light-by-light-type corrections (see Ref. [1]), the complete four-loop electron-loop contribution to the anomalous magnetic moment of the muon has been obtained with an independent calculation. Our calculation is based on an asymptotic expansion in the ratio of the electron and the muon mass and shows the importance of higher-order terms in this ratio. We perform a detailed comparison with results available in the literature and find good numerical agreement. As a byproduct, we present analytic results for the on-shell muon mass and wave function renormalization constants at three-loop order including massive closed electron and tau loops, which we also calculated using the method of asymptotic expansion.