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arxiv: 1512.01165 · v2 · pith:KWWX6FRAnew · submitted 2015-12-03 · ✦ hep-ph

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

classification ✦ hep-ph
keywords epsilondifferentialformintegralone-loopanalyticalapplycalculation
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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.

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