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

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.

29 pages, 5 figures, 2 tables

References in corpus (2)

• FIESTA 4: optimized Feynman integral calculations with GPU support
• One-loop pentagon integral in $d$ dimensions from differential equations in $\epsilon$-form

Cited by in corpus (1)

• Pentagon integrals to arbitrary order in the dimensional regulator