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Banana integrals in configuration space

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arxiv 2304.00624 v2 pith:6EF4G4DN submitted 2023-04-02 hep-th

Banana integrals in configuration space

classification hep-th
keywords bananaspaceconfigurationintegralsloopvarepsilonanalyticcomplex
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $\varepsilon$ expansion of the two loop banana integrals, for $d=j-2\varepsilon$, $j=2,3,4$.

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