Access to improve the muon mass and magnetic moment anomaly via the bound-muon $g$ factor

Abstract

A theoretical description of the $g$ factor of a muon bound in a nuclear potential is presented. One-loop self-energy and multi-loop vacuum polarization corrections are calculated, taking into account the interaction with the binding potential exactly. Nuclear effects on the bound-muon $g$ factor are also evaluated. We put forward the measurement of the bound-muon $g$ factor via the continuous Stern-Gerlach effect as an independent means to determine the free muons magnetic moment anomaly and mass. The scheme presented enables to increase the accuracy of the mass by more than an order of magnitude.

References in corpus (34)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• The Muon g-2
• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Tenth-Order QED Contribution to the Electron g-2 and an Improved Value of the Fine Structure Constant
• High-precision measurement of the atomic mass of the electron
• Dual kinetic balance approach to basis set expansions for the Dirac equation
• Two-time Green function method in quantum electrodynamics of high-Z few-electron atoms
• Electroweak corrections to the muon anomalous magnetic moment
• Complete two-loop correction to the bound-electron g factor
• Revised value of the eighth-order electron g-2
• Recoil correction to the bound-electron g factor in H-like atoms to all orders in $\alpha Z$
• Evaluation of the self-energy correction to the g-factor of S states in H-like ions
• Nonrelativistic QED approach to the bound-electron g factor
• The electron mass from $g$-factor measurements on hydrogen-like carbon ${}^{12}$C${}^{5+}$
• Nuclear polarization study: New frontiers for tests of QED in heavy highly charged ions
• Virtual light-by-light scattering and the g factor of a bound electron
• Hadronic Vacuum Polarization and the Lamb Shift
• Nuclear-polarization correction to the bound-electron g factor in heavy hydrogenlike ions
• Hadronic contributions to the anomalous magnetic moment of the electron and the hyperfine splitting of muonium
• Non-perturbative evaluation of some QED contributions to the muonic hydrogen $\mathbf{n}=2$ Lamb shift and hyperfine structure
• Anomalous magnetic moment of a bound electron
• Gyromagnetic Ratios of Bound Particles
• Extraction of the electron mass from $g$ factor measurements on light hydrogenlike ions
• Light-by-light scattering in the Lamb shift and the bound electron g factor
• Two-loop binding corrections to the electron gyromagnetic factor
• Contribution of Light-by-Light Scattering to Energy Levels of Light Muonic Atoms
• Nuclear Shape Effect on the g Factor of Hydrogenlike Ions
• The $g$ factor of an electron or muon bound by an arbitrary central potential
• Theoretical prediction of the Fine and Hyperfine structure of heavy muonic atoms
• One-loop binding corrections to the electron $g$ factor
• Muonium Spectroscopy

Cited by in corpus (3)

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