Unitarity violation and restoration in radiative bound-state formation
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908849624055808 |
|---|---|
| author | Flores, Marcos M. Petraki, Kalliopi |
| author_facet | Flores, Marcos M. Petraki, Kalliopi |
| contents | State-of-the-art calculations motivated by dark matter exhibit severe violation of partial-wave unitarity in the non-relativistic regime in radiative bound-state-formation processes. It has been recently shown, in a model-independent fashion, that unitarity is restored by the proper resummation of the inelastic contributions to the self-energy of the incoming state. In this work, we first derive Kramers-like formulae for individual partial waves, demonstrating that existing calculations of bound-state formation severely violate unitarity. We then discuss how unitarity is restored through the resummation of the absorptive contributions to the incoming-state self-energy, generated by bound-state formation processes, taking into account their analytic structure in the complex momentum plane. Our results can be generalized in a variety of theories and employed in phenomenological studies, such as dark-matter freeze-out, indirect detection and self-interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_20243 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Unitarity violation and restoration in radiative bound-state formation Flores, Marcos M. Petraki, Kalliopi High Energy Physics - Phenomenology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory State-of-the-art calculations motivated by dark matter exhibit severe violation of partial-wave unitarity in the non-relativistic regime in radiative bound-state-formation processes. It has been recently shown, in a model-independent fashion, that unitarity is restored by the proper resummation of the inelastic contributions to the self-energy of the incoming state. In this work, we first derive Kramers-like formulae for individual partial waves, demonstrating that existing calculations of bound-state formation severely violate unitarity. We then discuss how unitarity is restored through the resummation of the absorptive contributions to the incoming-state self-energy, generated by bound-state formation processes, taking into account their analytic structure in the complex momentum plane. Our results can be generalized in a variety of theories and employed in phenomenological studies, such as dark-matter freeze-out, indirect detection and self-interactions. |
| title | Unitarity violation and restoration in radiative bound-state formation |
| topic | High Energy Physics - Phenomenology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2602.20243 |