New Determination of the Fine Structure Constant from the Electron <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>g</mi></math></span> Value and QED

G. Gabrielse; D. Hanneke; T. Kinoshita; M. Nio; B. Odom

doi:10.1103/PhysRevLett.97.030802

New Determination of the Fine Structure Constant from the Electron $g$ Value and QED

G. Gabrielse¹, D. Hanneke¹, T. Kinoshita², M. Nio³, and B. Odom^1,*

¹Lyman Laboratory, Harvard University, Cambridge, Massachusetts 02138, USA
²Laboratory for Elementary-Particle Physics, Cornell University, Ithaca, New York, 14853, USA
³Theoretical Physics Laboratory, RIKEN, Wako, Saitama, Japan 351-0198

^*Present address: University of Chicago, Chicago, IL 60637, USA.

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Phys. Rev. Lett. 97, 030802 – Published 17 July, 2006Erratum Phys. Rev. Lett. 99, 039902 (2007)

DOI: https://doi.org/10.1103/PhysRevLett.97.030802

Abstract

Quantum electrodynamics (QED) predicts a relationship between the dimensionless magnetic moment of the electron ( $g$ ) and the fine structure constant ( $α$ ). A new measurement of $g$ using a one-electron quantum cyclotron, together with a QED calculation involving 891 eighth-order Feynman diagrams, determine $α^{- 1} = 137.035 999 710 (96) [0.70 ppb]$ . The uncertainties are 10 times smaller than those of nearest rival methods that include atom-recoil measurements. Comparisons of measured and calculated $g$ test QED most stringently, and set a limit on internal electron structure.

Erratum

Erratum: New Determination of the Fine Structure Constant from the Electron $g$ Value and QED [Phys. Rev. Lett. 97, 030802 (2006)]

G. Gabrielse, D. Hanneke, T. Kinoshita, M. Nio, and B. Odom

Phys. Rev. Lett. 99, 039902 (2007)

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New Determination of the Fine Structure Constant from the Electron $g$ Value and QED

Abstract

Erratum

Erratum: New Determination of the Fine Structure Constant from the Electron $g$ Value and QED [Phys. Rev. Lett. 97, 030802 (2006)]

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New Measurement of the Electron Magnetic Moment Using a One-Electron Quantum Cyclotron

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New Determination of the Fine Structure Constant from the Electron g Value and QED

Abstract

Erratum

Erratum: New Determination of the Fine Structure Constant from the Electron g Value and QED [Phys. Rev. Lett. 97, 030802 (2006)]

See Also

New Measurement of the Electron Magnetic Moment Using a One-Electron Quantum Cyclotron

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New Determination of the Fine Structure Constant from the Electron $g$ Value and QED

Erratum: New Determination of the Fine Structure Constant from the Electron $g$ Value and QED [Phys. Rev. Lett. 97, 030802 (2006)]