Speaker
Christoph Nega
(BCTP, University of Bonn)
Description
In this talk I will show how concepts from Calabi-Yau geometry and especially Calabi-Yau motives can be used for computations of multi-loop Feynman integrals. This will be exemplified with the so called banana graphs. First, I will give a short introduction to Feynman integrals and Calabi-Yau manifolds. Then we will see how the mathematics of Calabi-Yau manifolds (variations of Hodge structures, Griffiths transversality, $\widehat \Gamma$-class, ...) constrain or even determine the corresponding Feynman integral, here the banana graphs. At the end I will also shortly explain how the banana integrals can be solved in dimensional regularization in the equal- as well as in the generic-mass case.
| Do you wish to attend the workshop on-site? | yes |
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Primary authors
Prof.
Albrecht Klemm
(Bethe Center for Theoretical Physics)
Christoph Nega
(BCTP, University of Bonn)
Claude Duhr
(CERN)
Mr
Fabian Fischbach
(Bethe Center for Theoretical Physics)
Mr
Kilian Bönisch
(Max-Plank-Institut für Mathematik Bonn)
