Unitarity in the non-relativistic regime and implications for dark matter
May 3, 202412 pages
Published in:
- Phys.Lett.B 858 (2024) 139022
- Published: Sep 12, 2024
e-Print:
- 2405.02222 [hep-ph]
DOI:
- 10.1016/j.physletb.2024.139022 (publication)
View in:
Citations per year
Abstract: (Elsevier B.V.)
Unitarity sets upper limits on partial-wave elastic and inelastic cross-sections, which are often violated by perturbative computations. We discuss the dynamics underlying these limits in the non-relativistic regime, namely long-range interactions, and show how the resummation of the 2-particle-irreducible diagrams arising from squaring inelastic processes unitarizes both elastic and inelastic cross-sections. We provide a simple prescription to obtain the unitarized cross-sections from those that do not include resummation of the squared inelastic processes. Our results are model-independent, apply to all partial waves, and affect elastic and inelastic cross-sections, with extensive implications for new physics scenarios, such as dark-matter freeze-out, indirect detection and self-interactions.Note:
- 12 pages, 4 figures; v2. discussion expanded, published version
- Unitarity
- Resummation
- Imaginary potential
- Long-range interactions
- Dark matter
- new physics
- dark matter: relic density
- dark matter: annihilation
- dark matter: freeze-out
- dark matter: interaction
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