Dark higher-form portals and duality

Light scalar or vector particles are among the most studied dark matter candidates. Yet, those are always described as scalar or vector fields. In this paper, we explore instead the embedding of the scalar particle in an antisymmetric rank-three tensor field, and the dark photon into an antisymmetric rank-two tensor field (a so-called Kalb-Ramond field), and construct minimal bases of effective interactions with Standard Model fields. Then, keeping phenomenological applications as our main objective, a number of theoretical aspects are clarified, in particular related to the impact of existing dualities among the corresponding free theories, and concerning their Stueckelberg representations. Besides, for the rank-two field, we present for the first time its full propagator, accounting for the possible presence of a pseudoscalar mass term. Thanks to these results, and with their different kinematics, gauge-invariant limits, and Lorentz properties, we show that these higher-form fields provide genuine alternative frameworks, with different couplings and expected signatures at low-energy or at colliders.

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2025-09-30
DOI
https://doi.org/10.1103/yfh1-zms8
Primary Topic
Cosmology and Gravitation Theories
Type
article
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article

Dark higher-form portals and duality

C S Smith, Cypris Plantier
Physical review. D/Physical review. D.
Cosmology and Gravitation Theories
article

Dark higher-form portals and duality

C S Smith, Cypris Plantier
article en

Abstract

Light scalar or vector particles are among the most studied dark matter candidates. Yet, those are always described as scalar or vector fields. In this paper, we explore instead the embedding of the scalar particle in an antisymmetric rank-three tensor field, and the dark photon into an antisymmetric rank-two tensor field (a so-called Kalb-Ramond field), and construct minimal bases of effective interactions with Standard Model fields. Then, keeping phenomenological applications as our main objective, a number of theoretical aspects are clarified, in particular related to the impact of existing dualities among the corresponding free theories, and concerning their Stueckelberg representations. Besides, for the rank-two field, we present for the first time its full propagator, accounting for the possible presence of a pseudoscalar mass term. Thanks to these results, and with their different kinematics, gauge-invariant limits, and Lorentz properties, we show that these higher-form fields provide genuine alternative frameworks, with different couplings and expected signatures at low-energy or at colliders.

Physical review. D/Physical review. D.Vol. 112(7)
Institut polytechnique de Grenoble (FR), Institut National de Physique Nucléaire et de Physique des Particules (FR), Laboratoire de Physique Subatomique et de Cosmologie (FR), Université Grenoble Alpes (FR)
Openalex Percentile: Top 91%
Cosmology and Gravitation Theories
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Dark higher-form portals and duality — C S Smith, Cypris Plantier · Physical review. D/Physical review. D. (2025) | TGRS Research Map | TGRS