Eighth-order QED contribution to the anomalous magnetic moment of the muon

Kinoshita, T.; Nizic, B.; Okamoto, Yuko

doi:10.1103/physrevd.41.593

Cited by 92 publications

(128 citation statements)

References 37 publications

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“…The final aim of the experiment is to reach a precision of ±4 × 10 −10 , after completion of the analysis including the full set of data collected during recent years. If only contributions of (multiflavored) QED are taken into account, the theoretical accuracy is still much better than the present experimental one [4,5]. However, hadronic effects, which certainly cannot be ignored in the case of the muon g − 2 factor, are unfortunately more difficult to estimate, and the corresponding uncertainties substantially increase, and actually completely dominate, the error of the total theoretical value.…”

Section: Introductionmentioning

confidence: 82%

“…Clearly, this matter needs to be investigated further in the future. 4 Concluding this study, we find that the pseudoscalar-pole contribution to the hadronic light-by-light scattering amounts to where we have used the LMD+V representation (4.4) of the form factor F π 0 γ * γ * and the VMD form factor for the η and η ′ , both supplemented with experimental information. The error given in Eq.…”

Section: Discussionmentioning

confidence: 99%

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Hadronic light-by-light corrections to the muong−2:The pion-pole contribution

Knecht

Nyffeler²

2002

Phys. Rev. D

428

720

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The correction to the muon anomalous magnetic moment from the pion-pole contribution to the hadronic light-by-light scattering is considered using a description of the π 0 − γ * − γ * transition form factor based on the large-N C and short-distance properties of QCD. The resulting twoloop integrals are treated by first performing the angular integration analytically, using the method of Gegenbauer polynomials, followed by a numerical evaluation of the remaining twodimensional integration over the moduli of the Euclidean loop momenta. The value obtained, a LbyL;π 0 µ = +5.8 (1.0) × 10 −10 , disagrees with other recent calculations. In the case of the vector meson dominance form factor, the result obtained by following the same procedure reads a LbyL;π 0 µ | V M D = +5.6 × 10 −10 , and differs only by its overall sign from the value obtained by previous authors. The inclusion of the η and η ′ poles gives a total value a LbyL;PS µ = +8.3 (1.2) × 10 −10 for the three pseudoscalar states. This result substantially reduces the difference between the experimental value of a µ and its theoretical counterpart in the standard model.

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Section: Introductionmentioning

confidence: 82%

Section: Discussionmentioning

confidence: 99%

Hadronic light-by-light corrections to the muong−2:The pion-pole contribution

Knecht

Nyffeler²

2002

Phys. Rev. D

428

720

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“…At the four-loop level the dominating role of the "light-by-light-type" effects were revealed in the process of the numerical calculations of Ref. [14].…”

Section: Introductionmentioning

confidence: 99%

“…[14]. It was based on the explicit numerical calculations of the diagrams from the set of the 10-th order contributions to a µ with the electron light-by-light-type subgraph, which has internal photon lines, dressed by two electron bubbles (an example of these diagrams is shown in Fig.1).…”

Section: Introductionmentioning

confidence: 99%

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Reconsidered estimates of the 10th order QED contributions to the muon anomaly

Kataev

2006

Phys. Rev. D

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The problem of estimating the 10th order QED corrections to the muon anomalous magnetic moment is reconsidered. The incorporation of the recently improved contributions to the α 4 and α 5 -corrections to a µ within the renormalization-group inspired scheme-invariant approach leads to the estimate a (10) µ ≈ 643(α/pi) 5 . It is in good agreement with the estimate a (10) µ = 663(20)(α/π) 5 , obtained by Kinoshita and Nio from the numerical calculations of 2958 10-th order diagrams, which are considered to be more important than the still uncalculated 6122 10th-order m µ /m e -dependent vertex graphs, and 12672 5-loop diagrams, responsible for the mass-independent constant contribution both to a µ and a e . This confirms Kinoshita and Nio guess about dominance of the 10-th order diagrams calculated by them. Comparisons with other estimates of the α 5 -contributions to a µ , which exist in the literature, are presented.

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Table of Feynman diagrams of the interacting Fermion Green's function

Mathar

2007

Int J of Quantum Chemistry

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The Feynman diagrams of the Green's function expansion of fermions interacting with a nonrelativistic 2-body interaction are displayed in first, second and third order of the interaction as 2, 10 and 74 diagrams, respectively. A name convention for the diagrams is proposed and then used to tabulate the 706 diagrams of fourth order. The Hartree-Fock approximation summons up 2, 8, 40 and 224 of them, respectively.

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Eighth-order QED contribution to the anomalous magnetic moment of the muon

Cited by 92 publications

References 37 publications

Hadronic light-by-light corrections to the muong−2:The pion-pole contribution

Hadronic light-by-light corrections to the muong−2:The pion-pole contribution

Reconsidered estimates of the 10th order QED contributions to the muon anomaly

Table of Feynman diagrams of the interacting Fermion Green's function

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