Makiko Nio

Tenth-Order QED Contribution to the Electron g-2 and an Improved Value of the Fine Structure Constant

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) [0.25 ppb] is also derived from the theory and measurement of a(e).

Complete tenth-order QED contribution to the muon g-2.

We report the result of our calculation of the complete tenth-order QED terms of the muon g-2. Our result is a(μ)((10))=753.29 (1.04) in units of (α/π)(5), which is about 4.5 s.d. larger than the leading-logarithmic estimate 663(20). We also improve the precision of the eighth-order QED term of a(μ), obtaining a(μ)((8))=130.8794 (63) in units of (α/π)(4). The new QED contribution is a(μ)(QED)=116,584,718,951 (80)×10(-14), which does not resolve the existing discrepancy between the standard-model prediction and measurement of a(μ).

The Tenth-order QED contribution to the lepton g-2: Evaluation of dominant alpha**5 terms of muon g-2

The QED contribution to the anomalous magnetic moments of electron and muon are known very precisely up to the order {alpha}{sup 4}. However, the knowledge of the {alpha}{sup 5} term will also be required when the precision of measurement improves further. This paper reports the first systematic attempt to evaluate the {alpha}{sup 5} term. Feynman diagrams contributing to this term can be classified into six gauge-invariant sets which can be subdivided further into 32 gauge-invariant subsets. Thus far we have numerically evaluated all integrals of 17 gauge-invariant subsets which contain light-by-light-scattering subdiagrams and/or vacuum-polarization subdiagrams. They cover most of leading terms of muon g-2 and lead to a preliminary result 663 (20) ({alpha}/{pi}){sup 5}, which is 8.5 times more precise than the old estimate.

Improved {alpha}{sup 4} term of the electron anomalous magnetic moment

We report a new value of electron

Revised value of the eighth-order contribution to the electron g -2

g\ensuremath{-}2

Improved alpha**4 term of the muon anomalous magnetic moment

, or

Revised value of the eighth-order QED contribution to the anomalous magnetic moment of the electron

{a}_{e}

Tenth-Order Electron Anomalous Magnetic Moment --- Contribution of Diagrams without Closed Lepton Loops

, from 891 Feynman diagrams of order

Radiative corrections to the muonium hyperfine structure. 1. The alpha**2 (Z-alpha) correction

{\ensuremath{\alpha}}^{4}

Eighth-Order Vacuum-Polarization Function Formed by Two Light-by-Light-Scattering Diagrams and its Contribution to the Tenth-Order Electron g-2

. The FORTRAN codes of 373 diagrams containing closed electron loops have been verified by at least two independent formulations. For the remaining 518 diagrams, which have no closed lepton loop, verification by a second formulation is not yet attempted because of the enormous amount of additional work required. However, these integrals have structures that allow extensive cross-checking as well as detailed comparison with lower-order diagrams through the renormalization procedure. No algebraic error has been uncovered for them. The numerical evaluation of the entire