Predicting and Discovering True Muonium

TL;DR

This paper discusses ongoing theoretical work to accurately predict properties of true muonium, aiming to guide experimental detection and explore its implications in particle physics.

Contribution

It presents new calculations of higher-order corrections to true muonium's energy levels and explores detection methods in meson decay experiments.

Findings

Refined predictions for hyperfine splitting and Lamb shift in true muonium

Potential detection strategies in rare meson decay experiments

Using true muonium production to constrain mesonic form factors

Abstract

The recent observation of discrepancies in the muonic sector motivates searches for the yet undiscovered atom true muonium $(\mu^+\mu^-)$. To leverage potential experimental signals, precise theoretical calculations are required. I will present the on-going work to compute higher-order corrections to the hyperfine splitting and the Lamb shift. Further, possible detection in rare meson decay experiments like REDTOP and using true muonium production to constrain mesonic form factors will be discussed.