Hadronic vacuum polarization correction in muonic atoms

1981 ◽  
Vol 302 (3) ◽  
pp. 187-189 ◽  
Author(s):  
E. Borie
Keyword(s):  
Vacuum Polarization ◽  
Muonic Atoms ◽  
Polarization Correction

The Vacuum Polarization Correction in Muonic Atoms

1975 ◽  
pp. 191-208 ◽  
Author(s):  
R. Engfer ◽  
J. L. Vuilleumier ◽  
E. Borie
Keyword(s):  
Vacuum Polarization ◽  
Muonic Atoms ◽  
Polarization Correction

Test of electron screening and vacuum polarization in heavy muonic atoms

1976 ◽  
Vol 278 (2) ◽  
pp. 109-116 ◽  
Author(s):  
J. L. Vuilleumier ◽  
W. Dey ◽  
R. Engfer ◽  
H. Schneuwly ◽  
H. K. Walter ◽  
...  
Keyword(s):  
Vacuum Polarization ◽  
Electron Screening ◽  
Muonic Atoms

Measurements of the Vacuum Polarization in Muonic Atoms

1970 ◽  
pp. 675-676
Author(s):  
G. Backenstoss ◽  
S. Charalambus ◽  
H. Daniel ◽  
H. Koch ◽  
Ch. v.d. Malsburg ◽  
...  
Keyword(s):  
Vacuum Polarization ◽  
Muonic Atoms

Higher-Order Vacuum Polarization Corrections in Muonic Atoms

1972 ◽  
Vol 29 (1) ◽  
pp. 15-18 ◽  
Author(s):  
M. K. Sundaresan ◽  
P. J. S. Watson
Keyword(s):  
Vacuum Polarization ◽  
Higher Order ◽  
Muonic Atoms

scholarly journals Hadronic vacuum polarization and vector-meson resonance parameters from $$\varvec{e^+e^-\rightarrow \pi ^0\gamma }$$

2020 ◽  
Vol 80 (10) ◽  
Author(s):  
Bai-Long Hoid ◽  
Martin Hoferichter ◽  
Bastian Kubis
Keyword(s):  
Transition Form Factor ◽  
Vacuum Polarization ◽  
Transition Form ◽  
Isospin Breaking ◽  
Meson Resonance ◽  
Resonance Parameters ◽  
Polarization Correction ◽  
Dispersive Representation ◽  
The Masses ◽  
Good Agreement

AbstractWe study the reaction $$e^+e^-\rightarrow \pi ^0\gamma $$ e + e - → π 0 γ based on a dispersive representation of the underlying $$\pi ^0\rightarrow \gamma \gamma ^*$$ π 0 → γ γ ∗ transition form factor. As a first application, we evaluate the contribution of the $$\pi ^0\gamma $$ π 0 γ channel to the hadronic-vacuum-polarization correction to the anomalous magnetic moment of the muon. We find $$a_\mu ^{\pi ^0\gamma }\big |_{\le 1.35\,\text {GeV}}=43.8(6)\times 10^{-11}$$ a μ π 0 γ | ≤ 1.35 GeV = 43.8 ( 6 ) × 10 - 11 , in line with evaluations from the direct integration of the data. Second, our fit determines the resonance parameters of $$\omega $$ ω and $$\phi $$ ϕ . We observe good agreement with the $$e^+e^-\rightarrow 3\pi $$ e + e - → 3 π channel, explaining a previous tension in the $$\omega $$ ω mass between $$\pi ^0\gamma $$ π 0 γ and $$3\pi $$ 3 π by an unphysical phase in the fit function. Combining both channels we find $${\bar{M}}_\omega =782.736(24)\,\text {MeV}$$ M ¯ ω = 782.736 ( 24 ) MeV and $${\bar{M}}_\phi =1019.457(20)\,\text {MeV}$$ M ¯ ϕ = 1019.457 ( 20 ) MeV for the masses including vacuum-polarization corrections. The $$\phi $$ ϕ mass agrees perfectly with the PDG average, which is dominated by determinations from the $${\bar{K}} K$$ K ¯ K channel, demonstrating consistency with $$3\pi $$ 3 π and $$\pi ^0\gamma $$ π 0 γ . For the $$\omega $$ ω mass, our result is consistent but more precise, exacerbating tensions with the $$\omega $$ ω mass extracted via isospin-breaking effects from the $$2\pi $$ 2 π channel.

α(Zα)2Vacuum-Polarization Correction in Muonic Atoms

1973 ◽  
Vol 7 (5) ◽  
pp. 1480-1488 ◽  
Author(s):  
Thomas L. Bell
Keyword(s):  
Muonic Atoms ◽  
Polarization Correction

Exact two-loop vacuum polarization correction to the Lamb shift in hydrogenlike ions

1998 ◽  
Vol 1 (2) ◽  
pp. 177-185 ◽  
Author(s):  
G. Plunien ◽  
T. Beier ◽  
Gerhard Soff ◽  
H. Persson
Keyword(s):  
Lamb Shift ◽  
Vacuum Polarization ◽  
Polarization Correction
Sign in / Sign up

Export Citation Format

Share Document