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arXiv · 1612.03565

One-loop pentagon integral with one offshell leg in $d$ dimensions from differential equations in $\epsilon$-form

Mikhail G. Kozlov
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Abstract

We apply differential equations technique to the calculation of the one-loop massless diagram with one offshell legs. Using reduction to $\epsilon$-form, we managed to obtain a simple one-fold integral representation exact in space-time dimensionality. Expansion of the obtained result in $\epsilon$ and analytical continuation to physical region are discussed.

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Mikhail G. Kozlov. 2016-12-12. One-loop pentagon integral with one offshell leg in $d$ dimensions from differential equations in $\epsilon$-form. https://doi.org/10.1103/physrevd.95.036008

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