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Muon (g- 2): experiment and theory.

James P Miller1,2, Eduardo de Rafael3, B Lee Roberts1

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The anomalous magnetic moment of the muon is a precise probe for new physics beyond the Standard Model. Current experimental and theoretical values show a significant difference, indicating potential new discoveries.

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Area of Science:

  • Particle Physics
  • Quantum Field Theory

Background:

  • The anomalous magnetic moment of the muon, denoted as 'a', is a fundamental property influenced by quantum effects.
  • Deviations from the Standard Model predictions can signal the existence of new particles or forces.
  • The muon anomaly is particularly sensitive to new physics due to its larger mass compared to the electron.

Purpose of the Study:

  • To review experimental and theoretical determinations of the muon's anomalous magnetic moment.
  • To assess the potential of the muon anomaly as a probe for new physics beyond the Standard Model.
  • To highlight the discrepancy between current theoretical and experimental values.

Main Methods:

  • Review of theoretical calculations incorporating radiative corrections and Standard Model contributions.
  • Summary of experimental measurements, including the E821 experiment at Brookhaven National Laboratory.
  • Comparison of theoretical predictions with experimental results to high precision (0.5 ppm).

Main Results:

  • Both theoretical and experimental values for the muon anomaly are known with high precision.
  • A statistically significant difference (3.4 standard deviations) exists between the current theoretical and experimental values.
  • This discrepancy suggests potential contributions from physics beyond the Standard Model.

Conclusions:

  • The muon anomaly serves as a crucial testbed for the Standard Model and searches for new physics.
  • Continued theoretical and experimental investigations are essential to resolve the observed discrepancy.
  • The high precision measurements offer strong constraints on speculative extensions to the Standard Model.