Traintracks Through Calabi-Yaus: Amplitudes Beyond Elliptic Polylogarithms
Autor: | Bourjaily, Jacob L., He, Yang-Hui, McLeod, Andrew J., von Hippel, Matt, Wilhelm, Matthias |
---|---|
Rok vydání: | 2018 |
Předmět: | |
Zdroj: | Phys. Rev. Lett. 121, 071603 (2018) |
Druh dokumentu: | Working Paper |
DOI: | 10.1103/PhysRevLett.121.071603 |
Popis: | We describe a family of finite, four-dimensional, $L$-loop Feynman integrals that involve weight-$(L+1)$ hyperlogarithms integrated over $(L-1)$-dimensional elliptically fibered varieties we conjecture to be Calabi-Yau. At three loops, we identify the relevant K3 explicitly; and we provide strong evidence that the four-loop integral involves a Calabi-Yau threefold. These integrals are necessary for the representation of amplitudes in many theories---from massless $\varphi^4$ theory to integrable theories including maximally supersymmetric Yang-Mills theory in the planar limit---a fact we demonstrate. Comment: 4+2 pages, 4 figures; references added |
Databáze: | arXiv |
Externí odkaz: |