Kinematic Stratifications
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912937802727424 |
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| author | Cortes, Veronica Calvo Frost, Hadleigh Sturmfels, Bernd |
| author_facet | Cortes, Veronica Calvo Frost, Hadleigh Sturmfels, Bernd |
| contents | We study stratifications of regions in the space of symmetric matrices. Their points are Mandelstam matrices for momentum vectors in particle physics. Kinematic strata in these regions are indexed by signs and rank two matroids. Matroid strata of Lorentzian quadratic forms arise when all signs are non-negative. We characterize the posets of strata, for massless and massive particles, with and without momentum conservation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09571 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kinematic Stratifications Cortes, Veronica Calvo Frost, Hadleigh Sturmfels, Bernd Combinatorics High Energy Physics - Theory Algebraic Geometry We study stratifications of regions in the space of symmetric matrices. Their points are Mandelstam matrices for momentum vectors in particle physics. Kinematic strata in these regions are indexed by signs and rank two matroids. Matroid strata of Lorentzian quadratic forms arise when all signs are non-negative. We characterize the posets of strata, for massless and massive particles, with and without momentum conservation. |
| title | Kinematic Stratifications |
| topic | Combinatorics High Energy Physics - Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2503.09571 |