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

Abstract

Recently B\"onisch-Fischbach-Klemm-Nega-Safari 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,...,1) Fano hypersurface F in (P1)l+1. We confirm this observation by using a Gamma-conjecture type result for F.

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