The anomalous magnetic moment of the negative muon

Farley, F. J. M.; Bailey, J. M.; Brown, R.C.A.; Giesch, M.; Jöstlein, H.; Меер, С. ван дер; Picasso, E.; Tannenbaum, M. J.

doi:10.1007/bf02738104

Cited by 75 publications

(24 citation statements)

References 11 publications

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“…A first one was successfully realized at CERN (1962)(1963)(1964)(1965)(1966)(1967)(1968) [66,67,68]. It allowed to measure a µ for both µ + and µ − at the same machine.…”

Section: Historymentioning

confidence: 99%

“…(130) then provides the insertion of a photon self-energy part into the photon line represented by the "heavy photon" according to the method outlined after Eq. (66). While the exact expressions are given in [90] some sufficiently precise handy approximations have been given by Krause [237] in form of an expansion up to fourth order in m 2 /s which reads Here m is the mass of the external lepton, m = m µ in our case.…”

Section: Higher Order Hadronic Vacuum Polarization Correctionsmentioning

confidence: 99%

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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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“…A first one was successfully realized at CERN (1962)(1963)(1964)(1965)(1966)(1967)(1968) [66,67,68]. It allowed to measure a µ for both µ + and µ − at the same machine.…”

Section: Historymentioning

confidence: 99%

Section: Higher Order Hadronic Vacuum Polarization Correctionsmentioning

confidence: 99%

The muon g−2

2009

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“…This accumulation included the classic Michelson-Morley experiment and its descendents [186, 237, 141, 46],the Ives-Stillwell, Rossi-Hall, and other tests of time-dilation [136, 229, 103],tests of the independence of the speed of light of the velocity of the source, using both binary X-ray stellar sources and high-energy pions [44, 5],tests of the isotropy of the speed of light [50, 227, 159]. …”

Section: Tests Of the Foundations Of Gravitation Theorymentioning

confidence: 99%

The Confrontation between General Relativity and Experiment

Will¹

2006

Living Rev. Relativ.

1,579

1,267

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The status of experimental tests of general relativity and of theoretical frameworks for analyzing them is reviewed. Einstein’s equivalence principle (EEP) is well supported by experiments such as the Eötvös experiment, tests of special relativity, and the gravitational redshift experiment. Ongoing tests of EEP and of the inverse square law are searching for new interactions arising from unification or quantum gravity. Tests of general relativity at the post-Newtonian level have reached high precision, including the light deflection, the Shapiro time delay, the perihelion advance of Mercury, and the Nordtvedt effect in lunar motion. Gravitational wave damping has been detected in an amount that agrees with general relativity to better than half a percent using the Hulse-Taylor binary pulsar, and other binary pulsar systems have yielded other tests, especially of strong-field effects. When direct observation of gravitational radiation from astrophysical sources begins, new tests of general relativity will be possible.

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“…Further details, together with checks to ensure that the measurement at early times was representative of the muon population at later times when the (g − 2) precession was measured, are given in Ref. 23 Initially, this was 1.7 standard deviations higher than the theoretical value, suggesting that there was more to be discovered about the muon. In fact the discrepancy came from a defect in the theory.…”

Section: Experimental Details and Resultsmentioning

confidence: 99%