Numerical calculation of the full two-loop electroweak corrections to muon (g-2)

Understand

Numerical calculation of two-loop electroweak corrections to the muon anomalous magnetic moment ($g$-2) is done based on, on shell renormalization scheme (OS) and free quark model (FQM).

• The GRACE-FORM system is used to generate Feynman diagrams and corresponding amplitudes.
• Total 1780 two-loop diagrams and 70 one-loop diagrams composed of counter terms are calculated to get the renormalized quantity.
• As for the numerical calculation, we adopt trapezoidal rule with Double Exponential method (DE).