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Title: 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 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) ∝ mα → 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” (me >> ma). 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.

Authors:
 [1]
  1. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1223242
Alternate Identifier(s):
OSTI ID: 1234767
Report Number(s):
FERMILAB-PUB-15-350-T
Journal ID: ISSN 1550-7998; arXiv eprint number arXiv:1508.04083
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 93; Journal Issue: 2; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Hill, Christopher T. Axion Induced Oscillating Electric Dipole Moment of the Electron. United States: N. p., 2016. Web. https://doi.org/10.1103/PhysRevD.93.025007.
Hill, Christopher T. Axion Induced Oscillating Electric Dipole Moment of the Electron. United States. https://doi.org/10.1103/PhysRevD.93.025007
Hill, Christopher T. Tue . "Axion Induced Oscillating Electric Dipole Moment of the Electron". United States. https://doi.org/10.1103/PhysRevD.93.025007. https://www.osti.gov/servlets/purl/1223242.
@article{osti_1223242,
title = {Axion Induced Oscillating Electric Dipole Moment of the Electron},
author = {Hill, Christopher T.},
abstractNote = {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) ∝ mα → 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” (me >> ma). 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.},
doi = {10.1103/PhysRevD.93.025007},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 2,
volume = 93,
place = {United States},
year = {2016},
month = {1}
}

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Cited by: 5 works
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    Cosmological C P -odd axion field as the coherent Berry’s phase of the Universe
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    Revealing the dark matter halo with axion direct detection
    journal, June 2018


    Axion interferometry
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    Broadband and Resonant Approaches to Axion Dark Matter Detection
    journal, September 2016