One-loop pentagon integral in $d$ dimensions from differential equations in $\epsilon$-form
High Energy Physics - Phenomenology
2016-03-23 v2
Abstract
We apply the differential equation technique to the calculation of the one-loop massless diagram with five onshell legs. Using the reduction to -form, we manage to obtain a simple one-fold integral representation exact in space-time dimensionality. The expansion of the obtained result in and the analytical continuation to physical regions are discussed.
Cite
@article{arxiv.1512.01165,
title = {One-loop pentagon integral in $d$ dimensions from differential equations in $\epsilon$-form},
author = {Mikhail G. Kozlov and Roman N. Lee},
journal= {arXiv preprint arXiv:1512.01165},
year = {2016}
}
Comments
16 pages, 2 figures, v2: minor stylistic corrections, acknowlednments updated