Radiative Corrections to the Elastic Scattering of Muons on Electrons

In this thesis the Standard Model theoretical prediction for the elastic scattering of muons on electrons is analyzed. In particular, we focus on the calculation of the radiative corrections at next-to-leading order in QED, which turn out to be in agreement with the most recent result in literature. Moreover, we discuss the application of this theoretical prediction in the framework of a new proposal, which aims to compute the leading-order hadronic contribution to the muon anomalous magnetic moment within an improved accuracy.