| Autor: |
Prashanth Raman |
| Jazyk: |
angličtina |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Journal of High Energy Physics, Vol 2019, Iss 10, Pp 1-34 (2019) |
| Druh dokumentu: |
article |
| ISSN: |
1029-8479 |
| DOI: |
10.1007/JHEP10(2019)271 |
| Popis: |
Abstract Starting with the seminal work of Arkani-Hamed et al. [1], in [2], the “Ampli- tuhedron program” was extended to analyzing (planar) amplitudes in massless 𝜙 4 theory. In this paper we show that the program can be further extended to include 𝜙 p (p > 4) interactions. We show that tree-level planar amplitudes in these theories can be obtained from geometry of polytopes called accordiohedron which naturally sits inside kinematic space. As in the case of quartic interactions the accordiohedron of a given dimension is not unique, and we show that a weighted sum of residues of the canonical form on these polytopes can be used to compute scattering amplitudes. We finally provide a prescription to compute the weights and demonstrate how it works in various examples. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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