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arXiv · 1301.6481

Four-loop corrections with two closed fermion loops to fermion self energies and the lepton anomalous magnetic moment

Roman Lee·Peter Marquard·Alexander V. Smirnov·Vladimir A. Smirnov·Matthias Steinhauser
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Abstract

We compute the eighth-order fermionic corrections involving two and three closed massless fermion loops to the anomalous magnetic moment of the muon. The required four-loop on-shell integrals are classified and explicit analytical results for the master integrals are presented. As further applications we compute the corresponding four-loop QCD corrections to the mass and wave function renormalization constants for a massive quark in the on-shell scheme.

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Roman Lee, Peter Marquard, Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser. 2013-01-28. Four-loop corrections with two closed fermion loops to fermion self energies and the lepton anomalous magnetic moment. https://doi.org/10.1007/jhep03(2013)162

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