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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2021 Volume 17, 048, 12 pp. (Mi sigma1731)
This article is cited in 2 papers

Double Box Motive

Spencer Bloch

Department of Mathematics, The University of Chicago, Eckhart Hall, 5734 S University Ave, Chicago IL, 60637, USA

Abstract: The motive associated to the second Symanzik polynomial of the double-box two-loop Feynman graph with generic masses and momenta is shown to be an elliptic curve.

Keywords: Feynman amplitude, elliptic curve, double-box graph, cubic hypersurface.

MSC: 14C30, 14D07, 32G20

Received: March 20, 2021; in final form May 4, 2021; Published online May 13, 2021

Language: English

DOI: 10.3842/SIGMA.2021.048



Bibliographic databases:
ArXiv: 2105.????

© Steklov Math. Inst. of RAS, 2024