Top-quark loops and the muon anomalous magnetic moment

TL;DR

This paper discusses electroweak radiative corrections to the muon anomalous magnetic moment, focusing on two-loop top quark triangle diagrams, their asymptotic expansions, and comparison with integral representations, confirming broad parameter validity.

Contribution

It provides extended asymptotic expansions for electroweak two-loop top quark diagrams and compares them with integral solutions, enhancing understanding of fermion loop contributions.

Findings

Excellent agreement between asymptotic and integral methods.

Broader mass parameter range validated for the approximations.

Improved understanding of top quark loop effects on muon g-2.

Abstract

The current status of electroweak radiative corrections to the muon anomalous magnetic moment is discussed. Asymptotic expansions for some important electroweak two loop top quark triangle diagrams are illustrated and extended to higher order. Results are compared with the more general integral representation solution for generic fermion triangle loops coupled to pseudoscalar and scalar bosons of arbitrary mass. Excellent agreement is found for a broader than expected range of mass parameters.