Eighth-order vacuum-polarization function formed by two light-by-light-scattering diagrams and its contribution to the tenth-order electron<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:math>

Aoyama, T.; Hayakawa, Masashi; Kinoshita, T.; Nio, Makiko; Watanabe, Noriaki

doi:10.1103/physrevd.78.053005

Cited by 41 publications

(40 citation statements)

References 58 publications

(61 reference statements)

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“…Thus far, the results of numerical evaluation of 31 gauge-invariant subsets, which consists of 6318 vertex diagrams, have been published [11][12][13][14][15][16][17][18][19][20]. The results of all 10 subsets of Set I, consisting of 208 vertex diagrams, have been confirmed by Ref.…”

Section: Introductionmentioning

confidence: 70%

Tenth-order electron anomalous magnetic moment: Contribution of diagrams without closed lepton loops

et al. 2015

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This paper presents a detailed account of evaluation of the electron anomalous magnetic moment a e which arises from the gauge-invariant set, called Set V, consisting of 6354 tenth-order Feynman diagrams without closed lepton loops. The latest value of the sum of Set V diagrams evaluated by the Monte-Carlo integration routine VEGAS is 8.726 (336)(α/π) 5 , which replaces the very preliminary value reported in 2012. Combining it with other 6318 tenth-order diagrams published previously we obtain 7.795 (336)(α/π) 5 as the complete mass-independent tenth-order term. Together with the improved value of the eighth-order term this leads to a e (theory) = 1 159 652 181.643 (25)(23)(16)(763) × 10 −12 , where first three uncertainties are from the eighth-order term, tenth-order term, and hadronic and elecroweak terms. The fourth and largest uncertainty is from α −1 = 137.035 999 049 (90), the fine-structure constant derived from the rubidium recoil measurement. Thus, a e (experiment) − a e (theory) = −0.91 (0.82) × 10 −12 .Assuming the validity of the standard model, we obtain the fine-structure constant α −1 (a e ) = 137.035 999 1570 (29)(27)(18)(331), where uncertainties are from the eighth-order term, tenthorder term, hadronic and electroweak terms, and the measurement of a e . This is the most precise value of α available at present and provides a stringent constraint on possible theories beyond the standard model.

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Section: Introductionmentioning

confidence: 70%

Tenth-order electron anomalous magnetic moment: Contribution of diagrams without closed lepton loops

et al. 2015

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“…A very recent calculation from the class of leading tenth order contributions (singlet (SI) VP insertion diagrams which includes the last diagram of Fig. 13 with two electron LbL loops) yields A (m µ /m e ) = −1.26344(14) [150]. This result has been reproduced at the 3% level by an asymptotic expansion in [151], where also the much larger 4-loop non-singlet (NS) VP insertion with electron loops has been calculated: A (98) as an estimate of the 5-loop QED contribution.…”

Section: -Loop and Summary Of Qed Contributionsmentioning

confidence: 99%

The muon g−2

2009

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The muon anomalous magnetic moment is one of the most precisely measured quantities in particle physics. In a recent experiment at Brookhaven it has been measured with a remarkable 14-fold improvement of the previous CERN experiment reaching a precision of 0.54ppm. Since the first results were published, a persisting "discrepancy" between theory and experiment of about 3 standard deviations is observed. It is the largest "established" deviation from the Standard Model seen in a "clean" electroweak observable and thus could be a hint for New Physics to be around the corner. This deviation triggered numerous speculations about the possible origin of the "missing piece" and the increased experimental precision animated a multitude of new theoretical efforts which lead to a substantial improvement of the prediction of the muon anomaly aµ = (gµ − 2)/2. The dominating uncertainty of the prediction, caused by strong interaction effects, could be reduced substantially, due to new hadronic cross section measurements in electron-positron annihilation at low energies. Also the recent electron g − 2 measurement at Harvard contributes substantially to the progress in this field, as it allows for a much more precise determination of the fine structure constant α as well as a cross check of the status of our theoretical understanding.In this report we review the theory of the anomalous magnetic moments of the electron and the muon. After an introduction and a brief description of the principle of the muon g − 2 experiment, we present a review of the status of the theoretical prediction and in particular discuss the role of the hadronic vacuum polarization effects and the hadronic light-by-light scattering correction, including a new evaluation of the dominant pion-exchange contribution. In the end, we find a 3.2 standard deviation discrepancy between experiment and Standard Model prediction. We also present a number of examples of how extensions of the electroweak Standard Model would change the theoretical prediction of the muon anomaly aµ. Perspectives for future developments in experiment and theory are briefly discussed and critically assessed. The muon g − 2 will remain one of the hot topics for further investigations.

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“…Thus far, results of numerical evaluation of 24 gauge-invariant subsets, which consist of 2785 vertex diagrams, have been published [5,[21][22][23][24]. The result of 105 vertex diagrams of Set I(i) has been recently submitted for publication [25].…”

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Tenth-order QED contribution to lepton anomalous magnetic moment: Fourth-order vertices containing sixth-order vacuum-polarization subdiagrams

et al. 2011

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Eighth-order vacuum-polarization function formed by two light-by-light-scattering diagrams and its contribution to the tenth-order electrong−2

Cited by 41 publications

References 58 publications

Tenth-order electron anomalous magnetic moment: Contribution of diagrams without closed lepton loops

Tenth-order electron anomalous magnetic moment: Contribution of diagrams without closed lepton loops

The muon g−2

Tenth-order QED contribution to lepton anomalous magnetic moment: Fourth-order vertices containing sixth-order vacuum-polarization subdiagrams

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