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

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.

preprint2013arXivOpen access
Roman LeePeter MarquardAlexander V. SmirnovVladimir A. SmirnovMatthias Steinhauser
hep-ph
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Roman LeePeter MarquardAlexander V. SmirnovVladimir A. SmirnovMatthias Steinhauser

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