NLO Corrections to Dimuonium Production in Photon-Photon Collision

TL;DR

This paper calculates next-to-leading order QED corrections to dimuonium production in photon-photon collisions, indicating potential observability at Belle II and STCF experiments.

Contribution

It provides the first NLO QED calculation for para and ortho dimuonium production in photon-photon collisions, using non-relativistic QED for Coulomb divergence.

Findings

NLO corrections are negative for both dimuonium states.

Results suggest dimuonium could be observed at Belle II and STCF.

The calculation uses non-relativistic QED to handle Coulomb divergence.

Abstract

Dimuonium ($\mu^+ \mu^-$) is one of the pure QED bound systems of leptons, together with positronium and ditauonium. The former had been observed in experiment in 1951, while the search for dimuonium and ditauonium ($\tau^+ \tau^-$) are still in vain. The ditauonium is thought to be hard to measure due to its short life time, whereas the dimuonium is very likely to be observed in current running experiments. We calculate in this work the para and ortho dimuonium production in photon-photon collision at the next-to-leading order (NLO) in QED. To handle the Coulomb divergence within the bound system, the non-relativistic QED description is adopted for consistency. The results indicate that the NLO corrections are negative for both para and ortho states, at the normal order of perturbative QED corrections. The measurement of the dimuonium in Belle II experiment, especially at the forthcoming facility of STCF, is tenable.