Fourier Calculus from Intersection Theory
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913308075884544 |
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| author | Brunello, Giacomo Crisanti, Giulio Giroux, Mathieu Mastrolia, Pierpaolo Smith, Sid |
| author_facet | Brunello, Giacomo Crisanti, Giulio Giroux, Mathieu Mastrolia, Pierpaolo Smith, Sid |
| contents | Building on recent advances in studying the co-homological properties of Feynman integrals, we apply intersection theory to the computation of Fourier integrals. We discuss applications pertinent to gravitational bremsstrahlung and deep inelastic scattering in the saturation regime. After identifying the bases of master integrals, the latter are evaluated by means of the differential equation method. Finally, new results with exact dependence on the spacetime dimension D are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_14432 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fourier Calculus from Intersection Theory Brunello, Giacomo Crisanti, Giulio Giroux, Mathieu Mastrolia, Pierpaolo Smith, Sid High Energy Physics - Theory High Energy Physics - Phenomenology Building on recent advances in studying the co-homological properties of Feynman integrals, we apply intersection theory to the computation of Fourier integrals. We discuss applications pertinent to gravitational bremsstrahlung and deep inelastic scattering in the saturation regime. After identifying the bases of master integrals, the latter are evaluated by means of the differential equation method. Finally, new results with exact dependence on the spacetime dimension D are presented. |
| title | Fourier Calculus from Intersection Theory |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2311.14432 |