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We give a short overview of the theory of the muon anomalous magnetic momentwith emphasis on the hadronic light-by-light and the pion loop contribution. Weexplain the difference between the hidden local symmetry and full VMD pion loopand discuss leading logarithms in the anomalous sector of 2-flavour chiralperturbation theory.

The hadronic light-by-light contribution to the muon anomalous magnetic moment and renormalization group for EFT