Status of the lepton g-2 and effects of hadronic corrections
A. E. Dorokhov, A. E. Radzhabov+, A. S. Zhevlakov+
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research,
141980 Dubna, Russia
Bogoliubov Institute of Theoretical Problems of Microworld, Lomonosov MSU, 119991 Moscow, Russia
+Institute for System Dynamics and Control Theory SB RAS, 664033 Irkutsk, Russia
Abstract
The electron and muon anomalous magnetic moments (AMM) are measured in
experiments and studied in the Standard Model (SM) with the highest precision
accessible in particle physics. The comparison of the measured quantity with the
SM prediction for the electron AMM provides the best determination of the fine
structure constant. The muon AMM is more sensitive to the appearance of New
Physics effects and, at present, there appears to be a three- to four-standard
deviation between the SM and experiment. The lepton AMMs are pure relativistic
quantum correction effects
and therefore test the foundations of relativistic quantum field theory in
general, and of quantum electrodynamics (QED) and SM in particular, with highest
sensitivity. Special attention is paid to the studies of the hadronic
contributions to the muon AMM which constitute the main source of theoretical
uncertainties of the SM.