Pseudoscalar corrections to spin motion equation, search for electric dipole moment and muon magnetic (g-2) factor

Abstract

The spin dynamics in constant electromagnetic fields is described by the Bargmann-Michel-Telegdi equation which can be upgraded with anomalous magnetic and electric dipole moments. The upgraded equation remains self-consistent, Lorentz-covariant and gauge-invariant. It and its different forms have been confirmed in numerous experiments to high degree of accuracy. We have recently derived the spin motion equation within the Wentzel-Kramers-Brillouin weak-field approximation which adds a pseudoscalar correction to the BMT equation. The upgraded equation is again self-consistent, Lorentz-covariant, gauge-invariant, and free of unwanted artifacts. The pseudoscalar correction is expected to be small, and might become important in hypersensitive experiments, like the measurements of electric dipole moments which are themselves related to pseudoscalar quantities. It also becomes possible to explain why EDMs are so difficult to measure, since this correction term might lead to the effective screening of electric dipole moments. Within the same model, it is possible to explain the discrepancy between experimental and theoretical values of muon magnetic anomaly under assumption that the pseudoscalar correction is the dominant source of this discrepancy.

arXiv comment27 pages

References in corpus (15)

• Violations of fundamental symmetries in atoms and tests of unification theories of elementary particles
• The Strong CP Problem and Axions
• Invisible Axion Search Methods
• Axion-induced effects in atoms, molecules and nuclei: Parity nonconservation, anapole moments, electric dipole moments, and spin-gravity and spin-axion momentum couplings
• Searching for New Physics beyond the Standard Model in Electric Dipole Moment
• Axion Dark Matter Detection with Cold Molecules
• Essence of the vacuum quark condensate
• CAST constraints on the axion-electron coupling
• Derivation of Generalized Thomas-Bargmann-Michel-Telegdi Equation for a Particle with Electric Dipole Moment
• Feasibility of search for nuclear electric dipole moments at ion storage rings
• Equations of Motion of Spinning Relativistic Particle in Electromagnetic and Gravitational Fields
• $\tau$ dipole moments via radiative leptonic $\tau$ decays
• Fierz bilinear formulation of the Maxwell-Dirac equations and symmetry reductions
• Search for electric dipole moment
• Thomas-BMT equation generalized to electric dipole moments and field gradients

Cited by in corpus (3)

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