Tenth-order QED contribution to the electron g-2 and an improved value of the fine structure constant.

@article{Aoyama2012TenthorderQC,
  title={Tenth-order QED contribution to the electron g-2 and an improved value of the fine structure constant.},
  author={Tatsumi Aoyama and Masashi Hayakawa and Toichiro Kinoshita and M. Nio},
  journal={Physical review letters},
  year={2012},
  volume={109 11},
  pages={
          111807
        }
}
This letter presents the complete QED contribution to the electron g-2 up to the tenth order. With the help of the automatic code generator, we evaluate all 12,672 diagrams of the tenth-order diagrams and obtain 9.16 (58)(α/π)(5). We also improve the eighth-order contribution obtaining -1.9097 (20)(α/π)(4), which includes the mass-dependent contributions. These results lead to a(e)(theory)=1,159,652,181.78(77)×10(-12). The improved value of the fine-structure constant α(-1)=137.035999173 (35… 
View on PubMed
link.aps.org
340 Citations
Highly Influential Citations
13
Background Citations
84
Methods Citations
36
Results Citations
8

Figures and Tables from this paper

340 Citations

TENTH-ORDER QED CONTRIBUTION TO THE ELECTRON g 2 AND HIGH PRECISION TEST OF QUANTUM ELECTRODYNAMICS

This paper presents the current status of the theory of electron anomalous magnetic moment ae ≡(g-2)/2, including a complete evaluation of 12,672 Feynman diagrams in the tenth-order perturbation…

Four-loop QED contributions to the electron g-2

  • S. Laporta
  • Physics
    Journal of Physics: Conference Series
  • 2018
The anomalous magnetic moment of the electron is one of the physical quantities measured with the highest precision. Such high precision demands a similar precision in the theoretical evaluations in…

Slow atoms make progress on the fine structure constant

The fine structure constant, defined by α = e/[4πε0]h̄c in the S.I., is the dimensionless constant that quantifies the electromagnetic interaction between fundamental particles. Since 1987 the most…

Leading-order hadronic contribution to the electron and muon $g − 2$

I present a new data driven update of the hadronic vacuum polarization effects for the muon and the electron g − 2. For the leading order contributions I find a μ had(1) = (688.57 ± 4.28) [688.91 ±…

QED contributions to electron g-2

In this paper I briefly describe the results of the numerical evaluation of the mass-independent 4-loop contribution to the electron g -2 in QED with 1100 digits of precision. In particular I also…

High-precision calculation of the 4-loop contribution to the electron g-2 in QED1

  • S. Laporta
  • Mathematics
    Journal of Physics: Conference Series
  • 2018
In this paper I show the result of the numerical evaluation of the mass-independent 4-loop contribution to the electron g-2 in QED with 1100 digits of precision. I show the semi-analytical fit to the…

Hadronic contributions to the anomalous magnetic moment of the electron and the hyperfine splitting of muonium

Theory of the Anomalous Magnetic Moment of the Electron

The anomalous magnetic moment of the electron a e measured in a Penning trap occupies a unique position among high precision measurements of physical constants in the sense that it can be compared…

Vector Correlator in Massless QCD at Order O( 4 ) and the QED -function at five loop

We present a concise summary of recent results for the vector correlator in massless QCD at order O(α 4 ), with all colour factors being given for a generic colour group. As a direct consequence we…

The g-Factor-Exploring Atomic Structure and Fundamental Constants

Slightly more than 100 years ago Ernest Rutherford in 1911 and Niels Bohr in 1913 made the first fundamental steps to explain the atomic structure of nature [1, 2]. Since then, enormous efforts have…
...

References

SHOWING 1-10 OF 46 REFERENCES

Lepton Dipole Moments

From the famous experiments of Stern and Gerlach to the present, measurements of magnetic dipole moments, and searches for electric dipole moments of “elementary” particles have played a major role…

Phys

  • Rev. Lett. 99, 110406 (2007); Phys. Rev. D 77, 053012
  • 2008

Phys

  • Rev. D 73, 053007
  • 2006

Acta

  • Acta
  • 1957

J. S. Schwinger, Phys. Rev

  • J. S. Schwinger, Phys. Rev
  • 1948

Phys

  • Lett. B390, 392
  • 1997

Ann. Phys. (N.Y.)

  • Ann. Phys. (N.Y.)
  • 1958

Phys. Rev. D

  • Phys. Rev. D
  • 2011

Phys. Rev. Lett

  • Phys. Rev. Lett
  • 2006

Phys

  • Lett. B435, 427
  • 1998