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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Lee, R., Marquard, P., Smirnov, A.V. et al. Four-loop corrections with two closed fermion loops to fermion self energies and the lepton anomalous magnetic moment. J. High Energ. Phys. 2013, 162 (2013). https://doi.org/10.1007/JHEP03(2013)162
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DOI: https://doi.org/10.1007/JHEP03(2013)162