Nonperturbative True Muonium on the Light Front with TMSWIFT

TL;DR

This paper develops a nonperturbative light-front model of true muonium using TMSWIFT, incorporating box diagrams and advanced computational techniques to improve accuracy for experimental testing.

Contribution

It introduces an improved true muonium model on the light front, including box diagrams and a new parallel code, TMSWIFT, for more precise nonperturbative calculations.

Findings

Inclusion of box diagrams enhances model accuracy.

TMSWIFT reduces numerical uncertainties.

Model is aimed at near-term experimental tests.

Abstract

The true muonium $(\mu\bar{\mu})$ bound state presents an interesting test of light-cone quantization techniques. In addition to exhibiting the standard problems of handling non-perturbative calculations, true muonium requires correct treatment of $e\bar{e}$ Fock-state contributions. Having previously produced a crude model of true muonium using the method of iterated resolvents, our current work has focused on the inclusion of the box diagrams to improve the cutoff-dependent issues of the model. Further, a parallel computer code, TMSWIFT, allowing for smaller numerical uncertainties, has been developed. This work focuses on the current state of these efforts to develop a model of true muonium that is testable at near-term experiments.