Planar three-loop master integrals for 2 → 2 processes with one external massive particle
Dhimiter D. Canko, Nikolaos Syrrakos
Abstract
A bstract We present analytic results for the two tennis-court integral families relevant to 2 → 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.
Topics & Concepts
Massless particleTranscendental numberPropagatorPlanarKinematicsMathematicsParticle (ecology)Loop (graph theory)Mathematical physicsPhysicsPure mathematicsMathematical analysisClassical mechanicsCombinatoricsComputer scienceGeologyOceanographyComputer graphics (images)Advanced Algebra and GeometryQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studies