English

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

High Energy Physics - Phenomenology 2017-02-15 v1 High Energy Physics - Theory

Abstract

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

Keywords

Cite

@article{arxiv.1612.03565,
  title  = {One-loop pentagon integral with one offshell leg in $d$ dimensions from differential equations in $\epsilon$-form},
  author = {Mikhail G. Kozlov},
  journal= {arXiv preprint arXiv:1612.03565},
  year   = {2017}
}

Comments

29 pages, 5 figures, 2 tables