One-loop pentagon integral in $d$ dimensions from differential equations in $\epsilon$-form

Abstract

We apply the differential equation technique to the calculation of the one-loop massless diagram with five onshell legs. Using the reduction to $\epsilon$-form, we manage to obtain a simple one-fold integral representation exact in space-time dimensionality. The expansion of the obtained result in $\epsilon$ and the analytical continuation to physical regions are discussed.

16 pages, 2 figures, v2: minor stylistic corrections, acknowlednments updated

References in corpus (2)

• Lectures on differential equations for Feynman integrals
• FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions

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