English

Planar three-loop master integrals for $2 \to 2$ processes with one external massive particle

High Energy Physics - Phenomenology 2022-05-11 v2

Abstract

We present analytic results for the two tennis-court integral families relevant to 222\to2 scattering processes involving one massive external particle and massless propagators in terms of Goncharov polylogarithms of up to transcendental weight six. We also present analytic results for physical kinematics for the ladder-box family and the two tennis-court families in terms of real-valued polylogarithmic functions, making our solutions well-suited for phenomenological applications.

Keywords

Cite

@article{arxiv.2112.14275,
  title  = {Planar three-loop master integrals for $2 \to 2$ processes with one external massive particle},
  author = {Dhimiter D. Canko and Nikolaos Syrrakos},
  journal= {arXiv preprint arXiv:2112.14275},
  year   = {2022}
}

Comments

v2: added appendix on adjacency conditions, added ancillary files, version accepted for publication in JHEP; v1: 17 pages, 1 figure

R2 v1 2026-06-24T08:33:59.454Z