Analytic representation of all planar two-loop five-point Master Integrals with one off-shell leg
Dhimiter D. Canko, Costas G. Papadopoulos, Nikolaos Syrrakos
Abstract
A bstract We present analytic expressions in terms of polylogarithmic functions for all three families of planar two-loop five-point Master Integrals with one off-shell leg. The calculation is based on the Simplified Differential Equations approach. The results are relevant to the study of many 2 → 3 scattering processes of interest at the LHC, especially for the leading-color W + 2 jets production.
Topics & Concepts
PhysicsPlanarRepresentation (politics)Master equationDifferential equationScatteringAnalytic functionMathematical physicsMathematical analysisDifferential (mechanical device)Class (philosophy)Integral equationScattering amplitudePure mathematicsClassical mechanicsPartial differential equationElementary functionTheoretical physicsMultiple integralIntegro-differential equationVolume integralParticle physics theoretical and experimental studiesParticle Accelerators and Free-Electron LasersHigh-Energy Particle Collisions Research