New Results in Four and Five Loop QED calculations

TL;DR

This paper presents new multiloop calculations in QED, including four-loop charge conversion relations and five-loop asymptotic contributions to the muon anomaly, advancing precision in quantum electrodynamics.

Contribution

It provides the first analytical results for four-loop charge conversion and five-loop asymptotic contributions to the muon anomaly in QED.

Findings

Four-loop corrections to charge conversion relations derived.

Analytical evaluation of five-loop asymptotic contributions achieved.

Results improve the precision of QED calculations for fundamental constants.

Abstract

We report on two recent multiloop results in QED: (i) the four-loop corrections to the conversion relations between the QED charge renormalized in the on-shell and MS-bar schemes; (ii) analytical evaluation of a class of asymptotic contributions to the muon anomaly at five-loops.