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The $l$-loop Banana Amplitude from GKZ Systems and relative Calabi-Yau Periods (1912.06201v2)
Published 12 Dec 2019 in hep-th, math-ph, and math.MP
Abstract: We use the GKZ description of periods and certain classes of relative periods on families of Barth-Nieto Calabi-Yau $(l-1)$-folds in order to solve the $l$-loop banana amplitudes with their general mass dependence. As examples we compute the mass dependencies of the banana amplitudes up to the three-loop case and check the results against the known results for special mass values.