$CPT$ and Lorentz tests in Penning traps

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1998

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American Physical Society

Abstract

A theoretical analysis is performed of Penning-trap experiments testing $CPT$ and Lorentz symmetry through measurements of anomalous magnetic moments and charge-to-mass ratios. Possible $CPT$ and Lorentz violations arising from spontaneous symmetry breaking at a fundamental level are treated in the context of a general extension of the SU(3) × SU(2) × U(1) standard model and its restriction to quantum electrodynamics. We describe signals that might appear in principle, introduce suitable figures of merit, and estimate $CPT$ and Lorentz bounds attainable in present and future Penning-trap experiments. Experiments measuring anomaly frequencies are found to provide the sharpest tests of $CPT$ symmetry. Bounds are attainable of approximately $10^{-20}$ in the electron-positron case and of $10^{-23}$ for a suggested experiment with protons and antiprotons. Searches for diurnal frequency variations in these experiments could also limit certain types of Lorentz violation to the level of $10^{-18}$ in the electron-positron system and others at the level of $10^{-21}$ in the proton-antiproton system. In contrast, measurements comparing cyclotron frequencies are sensitive within the present theoretical framework to different kinds of Lorentz violation that preserve $CPT$. Constraints could be obtained on one figure of merit in the electron-positron system at the level of $10^{-16}$, on another in the proton-antiproton system at $10^{-24}$, and on a third at $10^{-25}$ using comparisons of $\text{H}^-$ ions with antiprotons.

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Bluhm, R., Kostelecký, V. A., & Russell, N. (1998). $CPT$ and Lorentz tests in Penning traps. Physical Review D - Particles, Fields, Gravitation and Cosmology, 57(7), 3932-3943. http://dx.doi.org/10.1103/PhysRevD.57.3932

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© 1998 American Physical Society.

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Article