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

Abstract

We present analytic results for the two tennis-court integral families relevant to $2\to 2$ 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.

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

References in corpus (5)

• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• Expansion by regions: revealing potential and Glauber regions automatically
• Cluster algebras for Feynman integrals
• Three-loop master integrals for ladder-box diagrams with one massive leg
• Di-photon amplitudes in three-loop Quantum Chromodynamics