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

Kataev, A. L.

doi:10.1103/physrevd.74.073011

Cited by 36 publications

(24 citation statements)

References 41 publications

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“…(149). Therefore there is also a damping in the other OPE limit studied above, F CQM π 0 * γ * γ (q 2 , q 2 , 0) ∼ 1/q 2 , which does not agree with the result from Eq.…”

Section: From the Ope See Eq (168)contrasting

confidence: 51%

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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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“…(149). Therefore there is also a damping in the other OPE limit studied above, F CQM π 0 * γ * γ (q 2 , q 2 , 0) ∼ 1/q 2 , which does not agree with the result from Eq.…”

Section: From the Ope See Eq (168)contrasting

confidence: 51%

“…The number in Eq. (97) was subsequently cross-checked by Kataev [149]. A very recent calculation from the class of leading tenth order contributions (singlet (SI) VP insertion diagrams which includes the last diagram of Fig.…”

Section: -Loop and Summary Of Qed Contributionsmentioning

confidence: 99%

The muon g−2

2009

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“…[5]. which is less than 1% of the leading contribution from the diagrams of Set VI(a) that contain light-by-light-scattering subdiagrams and vacuum-polarization subdiagrams [5,36]. Hence, the new contribution does not alter the previous estimates: …”

Section: Summary and Discussionmentioning

confidence: 74%

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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“…This may be compared with the corresponding result ∆ (I) (10) ≃ 32 obtained by an estimate based on the renormalization group method [35]. The purpose of this Appendix is to obtain the sum of residual renormalization terms of the Set IV.…”

Section: Discussionmentioning

confidence: 88%

Tenth-order QED lepton anomalous magnetic moment: Eighth-order vertices containing a second-order vacuum polarization

et al. 2012

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This paper reports the evaluation of the tenth-order QED contribution to the lepton g−2 from There is also a small mass-dependent contribution to the electron g − 2 due to the muon loop: −0.01136 (7)(α/π) 5 . The contribution of the tau-lepton loop is −0.0000937 (104) (α/π) 5 . The sum of all these contributions to the electron g−2 is −7.7407 (49)(α/π) 5 . The same set of diagrams enables us to evaluate the contributions to the muon g−2 from the electron loop, muon loop, and tau-lepton loop. They add up to −46.95 (17)(α/π) 5 .

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

Cited by 36 publications

References 41 publications

The muon g−2

The muon g−2

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

Tenth-order QED lepton anomalous magnetic moment: Eighth-order vertices containing a second-order vacuum polarization

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