Unitarity in the non-relativistic regime and implications for dark matter
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929507322036224 |
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| author | Flores, Marcos M. Petraki, Kalliopi |
| author_facet | Flores, Marcos M. Petraki, Kalliopi |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_02222 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unitarity in the non-relativistic regime and implications for dark matter Flores, Marcos M. Petraki, Kalliopi High Energy Physics - Phenomenology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory 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. |
| title | Unitarity in the non-relativistic regime and implications for dark matter |
| topic | High Energy Physics - Phenomenology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.02222 |