Nonperturbative True Muonium on the Light Front with TMSWIFT

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.

5 pages, 2 figures. Proceedings of Light Cone 2015, INFN Frascati, September 21-25, 2015

References in corpus (13)

• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Heavy Quarkonium in a Holographic Basis
• Muonic hydrogen and MeV forces
• Production of the Smallest QED Atom: True Muonium (mu^+ mu^-)
• Basis Light-Front Quantization Approach to Positronium
• Systematic renormalization scheme in light-front dynamics with Fock space truncation
• The Heavy Photon Search experiment at Jefferson Laboratory
• Nonperturbative Pauli-Villars regularization of vacuum polarization in light-front QED
• Basis of symmetric polynomials for many-boson light-front wave functions
• Electroweak Corrections to the True Muonium Hyperfine Splitting
• Can Galileons solve the muon problem?
• On the possibility of observable signatures of leptonium from astrophysical sources
• True muonium: the atom that has it all

Cited by in corpus (1)

• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom