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

MiKhail G. Kozlov; Roman N. Lee

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

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arxiv 1512.01165 v2 pith:KWWX6FRA submitted 2015-12-03 hep-ph

Mikhail G. Kozlov , Roman N. Lee This is my paper · ORCID

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keywords epsilondifferentialformintegralone-loopanalyticalapplycalculation

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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.

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Recursive construction of scalar one-loop integrals in dimensional regularisation
hep-th 2026-07 conditional novelty 8.0 of 10

A recursion based on hyperbolic simplex volumes expresses every epsilon-expansion coefficient of scalar one-loop Feynman integrals in terms of multiple polylogarithms.

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