We present a theoretical analysis of the relativistic theory of spin and how it can be used to understand the principles behind the recent Muon g-2 (E989) experiment at Fermilab. First, we discuss a covariant generalization of spin and its equation of motion in the presence of electromagnetic fields, the Thomas-Bargmann-Michel-Telegdi equation. We then generalize this equation to account for an electric dipole moment and a general curved spacetime. Finally, after showing why the g-factor is predicted to be g = 2 by the Dirac equation, we focus on the E989 experiment at Fermilab and how the anomalous magnetic moment of the muon a = (g-2)/2 is actually measured.

The Thomas-Bargmann-Michel-Telegdi equation and the Muon g-2 experiment

Tietto, Damiano
2021/2022

Abstract

We present a theoretical analysis of the relativistic theory of spin and how it can be used to understand the principles behind the recent Muon g-2 (E989) experiment at Fermilab. First, we discuss a covariant generalization of spin and its equation of motion in the presence of electromagnetic fields, the Thomas-Bargmann-Michel-Telegdi equation. We then generalize this equation to account for an electric dipole moment and a general curved spacetime. Finally, after showing why the g-factor is predicted to be g = 2 by the Dirac equation, we focus on the E989 experiment at Fermilab and how the anomalous magnetic moment of the muon a = (g-2)/2 is actually measured.
2021-07
23
TBMT equation, Muon g-2 experiment, Thomas precession, Four-spin
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12608/21506