Light-by-light scattering in the Lamb shift and the bound electron 
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 factor

Czarnecki, Andrzej; Szafron, Robert

doi:10.1103/physreva.94.060501

Cited by 45 publications

(20 citation statements)

References 33 publications

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“…Numerically, they are known for the Lamb shift [23,24], but for the g-factor only some classes of diagrams have been evaluated [25]. Analytical results are known for the full set of two-loop terms up to α π 2 α 4 Z [26,27] and for some vacuum-polarization diagrams [28].…”

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confidence: 99%

Two-Loop Binding Corrections to the Electron Gyromagnetic Factor

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Two-Loop Binding Corrections to the Electron Gyromagnetic Factor

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“…We anticipate that this uncertainty can be also reached for the so far unknown two-loop LBL scattering terms with existing methods [67,68]. This will allow for the improvement of the muon mass, or a determination of the free muon magnetic anomaly by subtracting theoretical binding effects from the measured bound-muon g factor.…”

Section: Discussionmentioning

confidence: 97%

“…Their calculation can be extended to the case of muons in a straightforward manner employing the methods of Ref. [67] or [68]. While the uncertainty due to these terms cannot be reliably given, in the table we estimate this uncertainty from the one-loop magnetic loop correction Δg ML as 10Δg ML In the calculation of the SE wave function correction [ Fig.…”

Section: Effectmentioning

confidence: 99%

“…The corresponding two-loop contribution (given in Table I as "magnetic loop þ Uehling") is below the uncertainty at which we aim. We note that further two-loop corrections evaluated very recently for electronic ions, such as two-loop LBL scattering terms [16,67] may also contribute significantly. Their calculation can be extended to the case of muons in a straightforward manner employing the methods of Ref.…”

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confidence: 99%

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Improving the accuracy of the muon mass and magnetic moment anomaly via the bound-muon g factor

et al. 2018

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A theoretical description of the g factor of a muon bound in a nuclear potential is presented. Oneloop self-energy and multiloop 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 muon's magnetic moment anomaly and mass. The scheme presented enables the increase of the accuracy of the mass by more than an order of magnitude.

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“…These results could be further improved by combining theoretical and experimental values for two different H-like ions (Sturm et al, 2014). This idea of combining precise g-factor measurements and QED calculations (Czarnecki and Szafron, 2016;Sturm et al, 2013a;Yerokhin and Harman, 2013), has recently yielded a 13-fold improvement on the electron mass determination (Köhler et al, 2015;Sturm et al, 2014;Zatorski et al, 2017).…”

Section: Microwave Studies Of the Bound-electron G Factormentioning

confidence: 99%

Highly charged ions: Optical clocks and applications in fundamental physics

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Recent developments in frequency metrology and optical clocks have been based on electronic transitions in atoms and singly charged ions as references. The control over all relevant degrees of freedom in these atoms has enabled relative frequency uncertainties at a level of a few parts in 10 −18 . This accomplishment not only allows for extremely accurate time and frequency measurements, but also to probe our understanding of fundamental physics, such as a possible variation of fundamental constants, a violation of the local Lorentz invariance, and the existence of forces beyond the Standard Model of Physics. In addition, novel clocks are driving the development of sophisticated technical applications. Crucial for applications of clocks in fundamental physics are a high sensitivity to effects beyond the Standard Model and Einstein's Theory of Relativity and a small frequency uncertainty of the clock. Highly charged ions offer both. They have been proposed as highly accurate clocks, since they possess optical transitions which can be extremely narrow and less sensitive to external perturbations compared to current atomic clock species. The large selection of highly charged ions in different charge states offers narrow transitions that are among the most sensitive ones for a change in the finestructure constant and the electron-to-proton mass ratio, as well as other new physics effects. Recent experimental advances in trapping and sympathetic cooling of highly charged ions will in the future enable advanced quantum logic techniques for controlling motional and internal degrees of freedom and thus enable high accuracy optical spectroscopy. Theoretical progress in calculating the properties of selected highly charged ions has allowed the evaluation of systematic shifts and the prediction of the sensitivity to the "new physics" effects. New theoretical challenges and opportunities emerge from relativistic, quantum electrodynamics, and nuclear size contributions that become comparable with interelectronic correlations. This article reviews the current status of theory and experiment in the field, addresses specific electronic configurations and systems which show the most promising properties for research, their potential limitations, and the techniques for their study.

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Light-by-light scattering in the Lamb shift and the bound electron g factor

Cited by 45 publications

References 33 publications

Two-Loop Binding Corrections to the Electron Gyromagnetic Factor

Two-Loop Binding Corrections to the Electron Gyromagnetic Factor

Improving the accuracy of the muon mass and magnetic moment anomaly via the bound-muon g factor

Highly charged ions: Optical clocks and applications in fundamental physics

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