English

Multiscale pentagon integrals to all orders

High Energy Physics - Phenomenology 2021-10-18 v1

Abstract

We present analytical results for one-loop five-point master integrals with up to three off-shell legs. The method of canonical differential equations along with the Simplified Differential Equations approach is employed. All necessary boundary terms are given in closed form, resulting to solutions in terms of Goncharov Polylogarithms of arbitrary weight. Explicit results up to weight six will be presented.

Keywords

Cite

@article{arxiv.2110.07971,
  title  = {Multiscale pentagon integrals to all orders},
  author = {Dhimiter D. Canko and Costas G. Papadopoulos and Nikolaos Syrrakos},
  journal= {arXiv preprint arXiv:2110.07971},
  year   = {2021}
}

Comments

10 pages, Contribution to RADCOR 2021. arXiv admin note: text overlap with arXiv:2107.02106

R2 v1 2026-06-24T06:54:54.994Z