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

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

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