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Mainz 2014 – wissenschaftliches Programm

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T: Fachverband Teilchenphysik

T 86: Elektroschwache Physik (Theorie) 1

T 86.6: Vortrag

Mittwoch, 26. März 2014, 18:00–18:15, P103

Some four-loop corrections to the anomalous magnetic moment of the muon and the electron — •Alexander Kurz1,2, Tao Liu1, Peter Marquard2, and Matthias Steinhauser11Institut für Theoretische Teilchenphysik, Karlsruhe — 2Deutsches Elektronen-Synchrotron, Zeuthen

The anomalous magnetic moment of the muon aµ and the electron ae are determined with high experimental precision which requires high-order perturbative calculations on the theory side. In this talk we present the perturbative four-loop QED contribution induced by closed heavy lepton loops. We exploit the strong hierarchy between the tau, muon and electron masses (mτmµme) and apply the method of asymptotic expansion. This leads to an analytic expansion in the inverse heavy lepton masses which converges rapidly. In case of aµ the expansion parameter is given by the ratio of the muon and tau lepton mass whereas for ae both the muon and tau lepton are considered as heavy. As a further ingredient to aµ we discuss the hadronic contribution. Using a precise parametrization of the experimental result for the total hadronic cross section in electron positron annihilation in combination with methods based on asymptotic expansion we can confirm the leading and next-to-leading order hadronic corrections present in the literature. Furthermore, new next-to-next-to-leading order results are provided.

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