Axion Induced Oscillating Electric Dipole Moment of the Electron

Abstract

A cosmic axion, via the electromagnetic anomaly, induces an oscillating electric dipole for the electron of frequency $m_a$ and strength $\sim$(few)$\times 10^{-32}$ e-cm, two orders of magnitude above the nucleon, and within a few orders of magnitude of the present standard model constant limit. We give a detailed study of this phenomenon via the interaction of the cosmic axion, through the electromagnetic anomaly, with particular emphasis on the decoupling limit of the axion, ${\partial }_{t}a(t)\propto m_a\to 0$. The analysis is subtle, and we find the general form of the action involves a local contact interaction and a nonlocal contribution, analogous to the "transverse current" in QED, that enforces the decoupling limit. We carefully derive the effective action in the Pauli-Schroedinger non-relativistic formalism, and in Georgi's heavy quark formalism adapted to the "heavy electron" ($m_e>>m_a$). We compute the electric dipole radiation emitted by free electrons, magnets and currents, immersed in the cosmic axion field, and discuss experimental configurations that may yield a detectable signal.

18 pages, 1 figure, v5 is equivalent to the published document

References in corpus (5)

• Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron
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• Axion Induced Oscillating Electric Dipole Moments
• Comment on "Axion induced oscillating electric dipole moments"
• Reply to "Comment on `Axion induced oscillating electric dipole moments' " [1]

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