Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor

Czarnecki, Andrzej; Piclum, Jan; Szafron, Robert

doi:10.1103/physreva.102.050801

Cited by 16 publications

(9 citation statements)

References 53 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In particular, for the 2s 1/2 and 2p 1/2 levels the oneloop thermal corrections at T = 300 K are on the level of precision anticipated in the forthcoming experiments [62]. This contribution is comparable to various previously investigated higher-order effects, such as the bound-state two-loop QED contributions [63], in particular, the two-loop virtual light-bylight scattering [28,29,64]. We note that the results for the 2s and 2p states are relevant not only for the excited states of Hlike ions, but also for the ground states of Li-and B-like ions, respectively.…”

Section: Resultssupporting

confidence: 67%

“…To match experimental precision, a rigorous account of relativistic, QED, and nuclear (including recoil, finite size, and polarization) effects is needed [17][18][19][20][21][22][23][24][25][26][27][28][29]. Even the impact of the gravitational field of the Earth [30] or instability of external fields affecting atomic characteristics [31] are investigated.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Thermal corrections to the bound-electron $g$-factor

Zalialiutdinov,

Glazov,

Solovyev

2021

Preprint

View full text Add to dashboard Cite

The influence of the blackbody radiation field on the g-factor of light hydrogenlike ions is considered within the framework of quantum electrodynamics at finite temperature for bound states. One-loop thermal corrections are examined for a wide range of temperatures. The numerical results for 1s, 2s, 2p 1/2 , and 2p 3/2 states are presented. It is shown that for excited states finite temperature corrections to the bound-electron g-factor are close to the level of current experimental uncertainty even at room temperatures and can be discerned within the measurements anticipated in the near future.

show abstract

Section: Resultssupporting

confidence: 67%

Section: Introductionmentioning

confidence: 99%

Thermal corrections to the bound-electron $g$-factor

Zalialiutdinov,

Glazov,

Solovyev

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In principle, we can consider even more complicated QED bound-state observables, for example, the bound electron g-factor [96][97][98][99]. In this case, one has a triple expansion in powers of (Zα), α and ln(Zα), where Z is atomic charge.…”

Section: Jhep09(2021)122mentioning

confidence: 99%

An analysis of Bayesian estimates for missing higher orders in perturbative calculations

Duhr

Huss

Mazeliauskas

et al. 2021

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

With current high precision collider data, the reliable estimation of theoretical uncertainties due to missing higher orders (MHOs) in perturbation theory has become a pressing issue for collider phenomenology. Traditionally, the size of the MHOs is estimated through scale variation, a simple but ad hoc method without probabilistic interpretation. Bayesian approaches provide a compelling alternative to estimate the size of the MHOs, but it is not clear how to interpret the perturbative scales, like the factorisation and renormalisation scales, in a Bayesian framework. Recently, it was proposed that the scales can be incorporated as hidden parameters into a Bayesian model. In this paper, we thoroughly scrutinise Bayesian approaches to MHO estimation and systematically study the performance of different models on an extensive set of high-order calculations. We extend the framework in two significant ways. First, we define a new model that allows for asymmetric probability distributions. Second, we introduce a prescription to incorporate information on perturbative scales without interpreting them as hidden model parameters. We clarify how the two scale prescriptions bias the result towards specific scale choice, and we discuss and compare different Bayesian MHO estimates among themselves and to the traditional scale variation approach. Finally, we provide a practical prescription of how existing perturbative results at the standard scale variation points can be converted to 68%/95% credibility intervals in the Bayesian approach using the new public code MiHO.

show abstract

“…Beside this, we included the one-loop 1/Z and 1/Z 2+ QED effects from our recent work [28] and the nuclear recoil corrections of rel-ative orders 1/Z 0 , 1/Z 1 , and 1/Z 2+ calculated by Shabaev et al [29]. Furthermore, we added the two-loop (Zα) 5 effects calculated recently by Czarnecki and co-workers [30,31] and by us [32]. The two-loop results in those studies were reported for the 1s hydrogenic state.…”

Section: Resultsmentioning

confidence: 99%

Two-photon exchange corrections to the $g$ factor of Li-like ions

Yerokhin,

Keitel,

Harman

2021

Preprint

View full text Add to dashboard Cite

We report calculations of QED corrections to the g factor of Li-like ions induced by the exchange of two virtual photons between the electrons. The calculations are performed within QED theory to all orders in the nuclear binding strength parameter Zα, where Z is the nuclear charge number and α is the fine-structure constant. In the region of low nuclear charges we compare results from three different methods: QED, relativistic many-body perturbation theory, and nonrelativistic QED. All three methods are shown to yield consistent results. With our calculations we improve the accuracy of the theoretical predictions of the g factor of the ground state of Li-like carbon and oxygen by about an order of magnitude. Our theoretical results agree with those from previous calculations but differ by 3-4 standard deviations from the experimental results available for silicon and calcium.

show abstract

Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor

Cited by 16 publications

References 53 publications

Thermal corrections to the bound-electron $g$-factor

Thermal corrections to the bound-electron $g$-factor

An analysis of Bayesian estimates for missing higher orders in perturbative calculations

Two-photon exchange corrections to the $g$ factor of Li-like ions

Contact Info

Product

Resources

About