Intersection numbers, polynomial division and relative cohomology
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| Názov: | Intersection numbers, polynomial division and relative cohomology |
|---|---|
| Autori: | Giacomo Brunello, Vsevolod Chestnov, Giulio Crisanti, Hjalte Frellesvig, Manoj K. Mandal, Pierpaolo Mastrolia |
| Prispievatelia: | HEP, INSPIRE |
| Zdroj: | Journal of High Energy Physics, Vol 2024, Iss 9, Pp 1-40 (2024) Brunello, G, Chestnov, V, Crisanti, G, Frellesvig, H, Mandal, M K & Mastrolia, P 2024, ' Intersection numbers, polynomial division and relative cohomology ', Journal of High Energy Physics, vol. 2024, no. 9, 15 . https://doi.org/10.1007/JHEP09(2024)015 Journal of High Energy Physics |
| Publication Status: | Preprint |
| Informácie o vydavateľovi: | Springer Science and Business Media LLC, 2024. |
| Rok vydania: | 2024 |
| Predmety: | High Energy Physics - Theory, Feynman graph, Quantum field theory, related classical field theories, FOS: Physical sciences, QC770-798, Differential and Algebraic Geometry, Scattering Amplitudes, Hypergeometric functions, scattering amplitudes, differential and algebraic geometry, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, General mathematical topics and methods in quantum theory, twist, cohomology, master integral, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], capture |
| Popis: | We present a simplification of the recursive algorithm for the evaluation of intersection numbers for differential n-forms, by combining the advantages emerging from the choice of delta-forms as generators of relative twisted cohomology groups and the polynomial division technique, recently proposed in the literature. We show that delta-forms capture the leading behaviour of the intersection numbers in presence of evanescent analytic regulators, whose use is, therefore, bypassed. This simplified algorithm is applied to derive the complete decomposition of two-loop planar and non-planar Feynman integrals in terms of a master integral basis. More generally, it can be applied to derive relations among twisted period integrals, relevant for physics and mathematical studies. |
| Druh dokumentu: | Article |
| Popis súboru: | application/xml; application/pdf |
| Jazyk: | English |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/jhep09(2024)015 |
| DOI: | 10.48550/arxiv.2401.01897 |
| Prístupová URL adresa: | http://arxiv.org/abs/2401.01897 https://zbmath.org/7939510 https://doi.org/10.1007/jhep09(2024)015 https://doaj.org/article/a9e25337af9445a2a29e8d882d44ca43 https://curis.ku.dk/ws/files/437557765/JHEP09_2024_015_1_.pdf https://hal.science/hal-04402285v1 https://doi.org/10.1007/jhep09(2024)015 |
| Rights: | CC BY |
| Prístupové číslo: | edsair.doi.dedup.....94f5e29d426a09e23157594e3a19a19b |
| Databáza: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstrakt: | We present a simplification of the recursive algorithm for the evaluation of intersection numbers for differential n-forms, by combining the advantages emerging from the choice of delta-forms as generators of relative twisted cohomology groups and the polynomial division technique, recently proposed in the literature. We show that delta-forms capture the leading behaviour of the intersection numbers in presence of evanescent analytic regulators, whose use is, therefore, bypassed. This simplified algorithm is applied to derive the complete decomposition of two-loop planar and non-planar Feynman integrals in terms of a master integral basis. More generally, it can be applied to derive relations among twisted period integrals, relevant for physics and mathematical studies. |
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| ISSN: | 10298479 |
| DOI: | 10.1007/jhep09(2024)015 |