Abstract
As mentioned above, the Standard Model of particle physics has been extraordinarily successful. One of these successes has been the calculation of the anomalous magnetic moments, or the g factor, of both the electron and the muon. In 2001, however, a tantalizing two-standard deviation between the calculation of the g factor and its measured value was found. Recent work on both theory and experiment has made that difference larger, although it still does not have sufficient statistical significance to make a discovery claim. Further complexity has been added by a second theoretical calculation, using a different method, that agrees with the measured result. Pursuit on both theory and experiment continues.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
A g-factor (also called g value or dimensionless magnetic moment) is a dimensionless quantity that characterizes the magnetic moment and angular momentum of an atom, a particle or the nucleus. It is essentially a proportionality constant that relates the different observed magnetic moments μ of a particle to their angular momentum quantum numbers and a unit of magnetic moment (to make it dimensionless), usually the Bohr magneton or nuclear magneton. See Aoyama et al. (2007).
- 2.
For details of parity nonconservation in the weak interactions see Chap. 3 of this book.
- 3.
The information about the blind analysis was presented by Gerry Bunce in a seminar at the University of Colorado and in private conversation. It does not appear in the published paper.
- 4.
(14) and (6) were the statistical and systematic uncertainties in aμ, respectively.
- 5.
The group had published updates in 2002 and 2004.
- 6.
At this time a 5-sigma effect was needed to make a discovery claim.
- 7.
This was based on the 2004 result published by the Brookhaven group not the final 2006 result.
- 8.
This move took place in 2013 and took 35Â days.
References
Abi, B., Albahri, T., Al-Kilani, S., Allspach, D., Alonzi, L. P., Anastasi, A., Anisenkov, A., Azfar, F., Badgley, K., Baeßler, S., & Bailey, I. (2021). Measurement of the positive muon anomalous magnetic moment to 0.46 ppm. Physical Review Letters, 126, 141801-141801–141801-141811.
Aoyama, T., Asmussen, N., Benayoun, M., Bijnens, J., Blum, T., Bruno, M., Caprini, I., Calame, C. C., Cè, M., Colangelo, G., & Curciarello, F. (2020). The anomalous magnetic moment of the muon in the Standard Model. Physics Reports (Section C of Physics Letters), 887, 1–166.
Aoyama, T., Hayakawa, M., Kinoshita, T., & Nio, M. (2007). Revised value of the eighth-order contribution to the electron g – 2. Physical Review Letters, 99, 110406-110401–110406-110404.
Bennett, G. W., Bousquet, B., Brown, H. N., Bunce, G., Carey, R. M., Cushman, P., Danby, G. T., Debevec, P. T., Deile, M., Deng, H., & Deninger, W. (2006). Final report of the E821 muon anomalous magnetic moment measurement at BNL. Physical Review D, 73, 072003-072001–072003-072041.
Borsanyi, S., Fodor, Z., Guenther, J. N., Hoelbling, C., Katz, S. D., Lellouch, L., Lippert, T., Miura, K., Parato, L., Szabo, K. K., & Stokes, F. (2021). Leading hadronic contribution to the muon magnetic moment from lattice QCD. Nature, 593, 51–55.
Brown, H. N., Bunce, G., Carey, R. M., Cushman, P., Danby, G. T., Debevec, P. T., Deile, M., Deng, H., Deninger, W., Dhawan, S. K., & Druzhinin, V. P. (2001). Precise measurement of the positive muon anomalous magnetic moment. Physical Review Letters, 86, 2227–2231.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Laymon, R., Franklin, A. (2022). The Anomalous Magnetic Moment of the Muon. In: Case Studies in Experimental Physics. Synthesis Lectures on Engineering, Science, and Technology. Springer, Cham. https://doi.org/10.1007/978-3-031-12608-6_7
Download citation
DOI: https://doi.org/10.1007/978-3-031-12608-6_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-12607-9
Online ISBN: 978-3-031-12608-6
eBook Packages: Synthesis Collection of Technology (R0)eBColl Synthesis Collection 11