Radiative corrections to real and virtual muon Compton scattering revisited

Understand

We calculate in closed analytical form the one-photon loop radiative corrections to muon Compton scattering $\mu^- \gamma \to \mu^- \gamma $.

• Ultraviolet and infrared divergencies are both treated in dimensional regularization.
• Infrared finiteness of the (virtual) radiative corrections is achieved (in the standard way) by including soft photon radiation below an energy cut-off $\lambda$.
• We find that the anomalous magnetic moment $\alpha/2\pi$ provides only a very small portion of the full radiative corrections.