Cutting rules for non-relativistic dark matter in solids based on Kohn-Sham orbitals
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917239935991808 |
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| author | Liang, Zheng-Liang Zheng, Fawei |
| author_facet | Liang, Zheng-Liang Zheng, Fawei |
| contents | The Cutkosky cutting rules establish a direct connection between the imaginary parts of loop amplitudes and physical observables such as decay rates and cross sections, providing heuristic insights into the underlying processes. This work lays a robust theoretical foundation for the application of cutting rules in solid-state systems involving instantaneous dark matter (DM)-electron Yukawa interaction as well as the Coulomb potential. The cutting rules are formulated using the single-electron wavefunctions and corresponding energy eigenvalues obtained from the Kohn-Sham equations within density functional theory (DFT). This framework is not only of considerable theoretical interest but also holds significant practical relevance for studying DM phenomenology in condensed matter systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11033 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cutting rules for non-relativistic dark matter in solids based on Kohn-Sham orbitals Liang, Zheng-Liang Zheng, Fawei High Energy Physics - Phenomenology The Cutkosky cutting rules establish a direct connection between the imaginary parts of loop amplitudes and physical observables such as decay rates and cross sections, providing heuristic insights into the underlying processes. This work lays a robust theoretical foundation for the application of cutting rules in solid-state systems involving instantaneous dark matter (DM)-electron Yukawa interaction as well as the Coulomb potential. The cutting rules are formulated using the single-electron wavefunctions and corresponding energy eigenvalues obtained from the Kohn-Sham equations within density functional theory (DFT). This framework is not only of considerable theoretical interest but also holds significant practical relevance for studying DM phenomenology in condensed matter systems. |
| title | Cutting rules for non-relativistic dark matter in solids based on Kohn-Sham orbitals |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.11033 |