arXiv subjects

Cypris Plantier

Publications and source records attributed to Cypris Plantier.

4 recordsLinked to original sources

arXiv2026

Chiral anomalies in two dimensions

Chiral anomalies offer a fundamental probe of the quantum structure of gauge theories and their underlying symmetries. In this paper, we introduce a framework to characterize the chiral anomaly in two dimensions directly at the diagrammatic level. To this end, we establish a consistent prescription for handling $γ^5$ in dimensional regularization at $d=2$. On this basis, we derive an expression for the fully generic chiral anomaly directly from the contributions of the bubble and triangle diagrams, either in the massless or massive case. Then, we show that the different forms of the anomaly can arise from appropriate choices of parameters directly at the level of this master expression. Overall, $d=2$ is shown to provide an excellent environment to investigate chiral anomalies at the amplitude level: Ward identities are demonstrated rigorously and to arbitrary order in the mass expansion without further approximation, resulting in an unprecedented degree of control on the anomaly.

hep-ph↗

arXiv2026

Dark matter as higher-form fields

Among the crowd of dark matter candidates, light scalar and vector particles have been the focus of intense theoretical and experimental investigations over the past 15 years. However, those are always described as scalar or vector fields. Instead, we investigate their embedding as antisymmetric rank-three and rank-two tensor fields. By reconciling theoretical investigations, regarding the nature of the dualities relating the standard and tensorial descriptions and their different possible Stueckelberg gauge representations, and phenomenological examinations considering the effective interactions between tensor fields and the Standard Model, we prove these tensor fields to provide a completely distinct framework. This alternative set allows for different couplings and therefore different experimental signatures for the detection or production of dark matter at both low energy and colliders.

hep-ph↗

arXiv2026

Dark higher-form fields and triangle anomalies

Light scalar and vector particles admit non-trivial descriptions in terms of anti-symmetric higher-rank tensor fields. Far from mere rewritings, these provide compelling alternative frameworks, leading to immediate phenomenological applications. In this paper, we extend the playground to include the contributions of fermionic triangle loops, and use these results to compare the standard and higher-form realizations for two phenomenological processes: the pair production of two dark particles and the decay of a dark particle in two photons. Though they all do show some dependencies on the chosen realizations for the spin-zero or the spin-one dark states, we find that the two-photon mode is particularly sensitive and could actually be our prime window into the true nature of the dark field.

hep-ph↗

arXiv2025

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.

hep-ph↗