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Two-loop electroweak corrections to the muon anomalous magnetic moment areautomatically calculated by using GRACE-FORM system, as a trial to extend oursystem for two-loop calculation. We adopt the non-linear gauge (NLG) to checkthe reliability of our calculation. In total 1780 two-loop diagrams consistingof 14 different topological types and 70 one-loop diagrams composed of counterterms are calculated. We check UV- and IR-divergences cancellation and theindependence of the results from NLG parameters. As for the numericalcalculation, we adopt trapezoidal rule with Double Exponential method (DE).Linear extrapolation method (LE) is introduced to regularize UV- and IR-divergence and to get finite values.

Automatic calculation of two-loop ELWK corrections to the muon ($g$-2)