We reconsider the computation of banana integrals at different loops, by working in the configuration space, in any dimension. We show how the 2-loop banana integral can be computed directly from the configuration space representation, without the need to resort to differential equations, and we include the analytic extension of the diagram in the space of complex masses. We also determine explicitly the ε expansion of the two loop banana integrals, for d = j − 2ε, j = 2, 3, 4.

Banana integrals in configuration space

Cacciatori, Sergio L.
;
Moschella, Ugo
2023-01-01

Abstract

We reconsider the computation of banana integrals at different loops, by working in the configuration space, in any dimension. We show how the 2-loop banana integral can be computed directly from the configuration space representation, without the need to resort to differential equations, and we include the analytic extension of the diagram in the space of complex masses. We also determine explicitly the ε expansion of the two loop banana integrals, for d = j − 2ε, j = 2, 3, 4.
2023
Cacciatori, Sergio L.; Epstein, Henri; Moschella, Ugo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2158516
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