6533b7d6fe1ef96bd1265e35
RESEARCH PRODUCT
Pentagon functions for massless planar scattering amplitudes
N. A. Lo PrestiJohannes M. HennThomas Gehrmannsubject
High Energy Physics - TheoryParticle physicsNuclear and High Energy PhysicsDifferential equation530 PhysicsFOS: Physical sciencesBasis function10192 Physics Institute01 natural sciencesMomentumHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciencesPerturbative QCDCanonical formlcsh:Nuclear and particle physics. Atomic energy. Radioactivity3106 Nuclear and High Energy Physics010306 general physicsScattering AmplitudesMathematical physicsPhysics010308 nuclear & particles physicsScatteringScattering amplitudeMassless particlePentagonHigh Energy Physics - PhenomenologyHigh Energy Physics - Theory (hep-th)lcsh:QC770-798description
Loop amplitudes for massless five particle scattering processes contain Feynman integrals depending on the external momentum invariants: pentagon functions. We perform a detailed study of the analyticity properties and cut structure of these functions up to two loops in the planar case, where we classify and identify the minimal set of basis functions. They are computed from the canonical form of their differential equations and expressed in terms of generalized polylogarithms, or alternatively as one-dimensional integrals. We present analytical expressions and numerical evaluation routines for these pentagon functions, in all kinematical configurations relevant to five-particle scattering processes.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-10-01 | Journal of High Energy Physics |