Axion Induced Oscillating Electric Dipole Moment of the Electron

Hill, Christopher T.

doi:10.1103/PhysRevD.93.025007

Title: Axion Induced Oscillating Electric Dipole Moment of the Electron

Journal Article · Tue Jan 12 00:00:00 EST 2016 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.93.025007· OSTI ID:1223242

Hill, Christopher T. ^[1]

Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

A cosmic axion, via the electromagnetic anomaly, induces an oscillating electric dipole for the electron of frequency ma and strength ~(few) x 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, ∂_ta(t) ∝ m_α → 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.

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Research Organization:: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 1223242

Alternate ID(s):: OSTI ID: 1234767

Report Number(s):: FERMILAB-PUB-15-350-T; arXiv eprint number arXiv:1508.04083

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 93, Issue 2; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 15 works

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Cited By (4)

Axion-electrodynamics: a quantum field calculation Beutter, Marc; Pargner, Andreas; Schwetz, Thomas Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 02 https://doi.org/10.1088/1475-7516/2019/02/026	journal	February 2019
Cosmological $C P$ -odd axion field as the coherent Berry’s phase of the Universe Ge, Shuailiang; Liang, Xunyu; Zhitnitsky, Ariel Physical Review D, Vol. 96, Issue 6 https://doi.org/10.1103/physrevd.96.063514	journal	September 2017
Cosmological CP odd axion field as the coherent Berry's phase of the Universe Ge, Shuailiang; Liang, Xunyu; Zhitnitsky, Ariel arXiv https://doi.org/10.48550/arxiv.1702.04354	text	January 2017
Revealing the Dark Matter Halo with Axion Direct Detection Foster, Joshua W.; Rodd, Nicholas L.; Safdi, Benjamin R. arXiv https://doi.org/10.48550/arxiv.1711.10489	text	January 2017

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