The renormalization group inspired approaches and estimates of the   tenth-order corrections to the muon anomaly in QED
  We present the estimates of the five-loop QED corrections to the muon anomaly using the scheme-invariant approaches and demonstrate that they are in good agreement with the results of exact calculations of the corresponding tenth-order diagrams supplemented by the additional guess about the values of the non-calculated contributions. 
Andrei L. Kataev and Valery V. Starshenko