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

Abstract

Recently Bönisch-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 (P^1)^{l+1}. We confirm this observation by using a Gamma-conjecture type result for F.

Comments: 4 pages, v2: minor changes, references added