Radiative corrections to muon decay in leading and next to leading approximation for electron spectrum

TL;DR

This paper demonstrates that the electron spectrum in muon decay, calculated in leading and next-to-leading approximations, can be generalized to all orders using the structure function method, connecting perturbation theory with parton language.

Contribution

It introduces a method to extend the calculation of muon decay electron spectrum to all orders via the structure function approach, bridging perturbation theory and parton models.

Findings

Electron spectrum in muon decay matches parton language predictions.

The structure function method allows all-order generalization of the spectrum.

Reproduces previous leading logarithmic results in a broader framework.

Abstract

We have noted that the electron spectrum of muon decay in the leading logarithmic approximation calculated in two lowest orders of the perturbation theory in the paper of Berman (1958), can be reproduced by the parton language. This fact permits one to generalize the result to all orders of the perturbation theory using the structure function method.