Masashi Hayakawa

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).

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

The contribution to the eighth-order anomalous magnetic moment (g−2) of the electron from a set of diagrams without closed lepton loops is recalculated using a new FORTRAN code generated by an automatic code generator. Comparing the contributions of individual diagrams of old and new calculations, we found an inconsistency in the old treatment of infrared subtraction terms in two diagrams. Correcting this error leads to the revised value −1.9144 (35)(α/π) for the eighthorder term. This theoretical change induces the shift of the inverse of the fine structure constant by −6.41180(73) × 10.

Loops versus matrices: The Nonperturbative aspects of noncritical string

The nonperturbative aspects of string theory are explored for non-critical string in two distinct formulations, loop equations and matrix models. The effects corresponding to the D-brane in these formulations are especially investigated in detail. It is shown that matrix models can universally yield a definite value of the chemical potential for an instanton while loop equations cannot. This implies that it may not be possible to formulate string theory nonperturbatively solely in terms of closed strings.

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

We have carried out a new evaluation of the eighth-order contribution to the electron g-2 using FORTRAN codes generated by an automatic code generator gencodeN. Comparison of the new result with the old one has revealed an inconsistency in the treatment of the infrared divergences in the latter. With this error corrected we now have two independent determinations of the eighth-order term. This leads to the revised value 1 159 652 182.79(7.71)x10{sup -12} of the electron g-2, where the uncertainty comes mostly from that of the best non-QED value of the fine structure constant {alpha}. The new value of {alpha} derived from the revised theory and the latest experiment is {alpha}{sup -1}=137.035 999 084(51) [0.37 ppb], which is about 4.7 ppb smaller than the previous {alpha}{sup -1}.

Hadronic light-by-light scattering contribution to muon g-2.

The hadronic light-by-light scattering contribution to muon

Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD

g\ensuremath{-}2

Direction finding of chorus emissions in the outer magnetosphere and their generation and propagation

is examined based on the low energy effective theories of QCD, the Nambu-Jona-Lasinio model, and hidden local symmetry approach, supplemented by general information concerning the asymptotic behavior of QCD. Our result is -52\ifmmode\times\else\texttimes\fi{}

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

{10}^{\ensuremath{-}11}

Schumann Resonance for Tyros

with an uncertainty of \ifmmode\pm\else\textpm\fi{}18\ifmmode\times\else\texttimes\fi{}