Pentagon functions for scattering of five massless particles
D. Chicherin, V. Sotnikov
Abstract
A bstract We complete the analytic calculation of the full set of two-loop Feynman integrals required for computation of massless five-particle scattering amplitudes. We employ the method of canonical differential equations to construct a minimal basis set of transcendental functions, pentagon functions , which is sufficient to express all planar and nonplanar massless five-point two-loop Feynman integrals in the whole physical phase space. We find analytic expressions for pentagon functions which are manifestly free of unphysical branch cuts. We present a public library for numerical evaluation of pentagon functions suitable for immediate phenomenological applications.
Topics & Concepts
Massless particlePentagonPhysicsFeynman diagramMathematical physicsScatteringComputationInfinite setBasis (linear algebra)Quantum mechanicsClassical mechanicsTheoretical physicsSet (abstract data type)Scattering amplitudeSPHERESTranscendental functionDifferential equationAnalytic functionDifferential (mechanical device)Path integral formulationScattering theoryPlanarParticle physics theoretical and experimental studiesQuantum and Classical ElectrodynamicsQuantum Chromodynamics and Particle Interactions