The Impact of Electric Currents on Majorana Dark Matter at Freeze Out

Thermal relics with masses in the GeV to TeV range remain possible candidates for the Universe’s dark matter (DM). These neutral particles are often assumed to have vanishing electric and magnetic dipole moments so that they do not interact with single real photons, but the anapole moment, a static...

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Main Authors: Lukas Karoly, David C. Latimer
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Universe
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Online Access:https://www.mdpi.com/2218-1997/11/2/66
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author Lukas Karoly
David C. Latimer
author_facet Lukas Karoly
David C. Latimer
author_sort Lukas Karoly
collection DOAJ
description Thermal relics with masses in the GeV to TeV range remain possible candidates for the Universe’s dark matter (DM). These neutral particles are often assumed to have vanishing electric and magnetic dipole moments so that they do not interact with single real photons, but the anapole moment, a static electromagnetic property whose features are akin to that of a classical toroidal solenoid, can still be non-zero, permitting interactions with single virtual photons. In some models, DM predominantly annihilates into charged standard model particles through a p-wave process mediated by the anapole moment. The anapole moment is also responsible for another interaction of interest. If a DM medium were subjected to an electric current, a DM particle whose anapole moment was aligned with the current would have lower energy than the state with an antialigned anapole moment. Given these interactions, if a collection of initially unpolarized DM particles were subjected to an electric current, then the DM medium would become partially polarized, according to the Boltzmann distribution. In such a polarized medium, DM annihilation into photons, a subdominant s-wave process realizable through higher order interactions, would be somewhat suppressed. If the local electric current existed during a time in which the DM begins to drop out of thermal equilibrium with the rest of the Universe, the suppressed annihilation could lead to a small local excess in the relic DM density relative to a current-free region. This mechanism by which the local DM density can be perturbed is novel. Using effective interactions to model a DM particle’s anapole moment and polarizabilities (responsible for s-wave annihilation into two photons), we compute the changes in the DM density produced by long- and short-lived currents around freeze out. If we employ the most stringent constraints on DM annihilation into two photons, we find that long-lived currents can result in a fractional change in the DM density on the order of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mrow><mo>−</mo><mn>17</mn></mrow></msup></semantics></math></inline-formula> for DM masses around 100 GeV; for short-lived currents, this fractional change in local DM density is on the order of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mrow><mo>−</mo><mn>23</mn></mrow></msup></semantics></math></inline-formula> for the same DM mass.
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spelling doaj-art-e5da0fa4935b4abdb98076228408136f2025-08-20T02:45:41ZengMDPI AGUniverse2218-19972025-02-011126610.3390/universe11020066The Impact of Electric Currents on Majorana Dark Matter at Freeze OutLukas Karoly0David C. Latimer1Department of Physics, University of Puget Sound, Tacoma, WA 98416, USADepartment of Physics, University of Puget Sound, Tacoma, WA 98416, USAThermal relics with masses in the GeV to TeV range remain possible candidates for the Universe’s dark matter (DM). These neutral particles are often assumed to have vanishing electric and magnetic dipole moments so that they do not interact with single real photons, but the anapole moment, a static electromagnetic property whose features are akin to that of a classical toroidal solenoid, can still be non-zero, permitting interactions with single virtual photons. In some models, DM predominantly annihilates into charged standard model particles through a p-wave process mediated by the anapole moment. The anapole moment is also responsible for another interaction of interest. If a DM medium were subjected to an electric current, a DM particle whose anapole moment was aligned with the current would have lower energy than the state with an antialigned anapole moment. Given these interactions, if a collection of initially unpolarized DM particles were subjected to an electric current, then the DM medium would become partially polarized, according to the Boltzmann distribution. In such a polarized medium, DM annihilation into photons, a subdominant s-wave process realizable through higher order interactions, would be somewhat suppressed. If the local electric current existed during a time in which the DM begins to drop out of thermal equilibrium with the rest of the Universe, the suppressed annihilation could lead to a small local excess in the relic DM density relative to a current-free region. This mechanism by which the local DM density can be perturbed is novel. Using effective interactions to model a DM particle’s anapole moment and polarizabilities (responsible for s-wave annihilation into two photons), we compute the changes in the DM density produced by long- and short-lived currents around freeze out. If we employ the most stringent constraints on DM annihilation into two photons, we find that long-lived currents can result in a fractional change in the DM density on the order of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mrow><mo>−</mo><mn>17</mn></mrow></msup></semantics></math></inline-formula> for DM masses around 100 GeV; for short-lived currents, this fractional change in local DM density is on the order of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mrow><mo>−</mo><mn>23</mn></mrow></msup></semantics></math></inline-formula> for the same DM mass.https://www.mdpi.com/2218-1997/11/2/66dark matterMajorana fermionsWIMPsrelic density
spellingShingle Lukas Karoly
David C. Latimer
The Impact of Electric Currents on Majorana Dark Matter at Freeze Out
Universe
dark matter
Majorana fermions
WIMPs
relic density
title The Impact of Electric Currents on Majorana Dark Matter at Freeze Out
title_full The Impact of Electric Currents on Majorana Dark Matter at Freeze Out
title_fullStr The Impact of Electric Currents on Majorana Dark Matter at Freeze Out
title_full_unstemmed The Impact of Electric Currents on Majorana Dark Matter at Freeze Out
title_short The Impact of Electric Currents on Majorana Dark Matter at Freeze Out
title_sort impact of electric currents on majorana dark matter at freeze out
topic dark matter
Majorana fermions
WIMPs
relic density
url https://www.mdpi.com/2218-1997/11/2/66
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