Asymptotics of the Banana Feynman amplitudes at the large complex structure limit

Recently Bönisch–Fischbach–Klemm–Nega–Safari [3] discovered, via numerical computation, that the leading asymptotics of the $l$-loop Banana Feynman amplitude at the large complex structure limit can be described by the Gamma class of a degree $(1, \dotsc, 1)$ Fano hypersurface $F$ in $(\mathbb{P}^1)^{l+1}$. We confirm this observation by using a Gamma-conjecture type result [10] for $F$.

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This research is supported by JSPS Kakenhi Grant Number 16H06335, 16H06337, 20K03582.

Published 30 March 2023