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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
Fulltext:
PDF file (345 kB)
References
Cited by
Bibliographic databases:
ArXiv:
2105.????
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Steklov Math. Inst. of RAS
, 2025